Birth Order Effects Imputed Data

Helper

source("0_helpers.R")
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opts_chunk$set(warning = FALSE, error = T)
detach("package:lmerTest", unload = TRUE)

Functions

options(mc.cores=4)
n_imputations.mitml = function(imps) {
  imps$iter$m
}
n_imputations.mids = function(imps) {
  imps$m
}
n_imputations.amelia = function(imps) {
  length(imps$imputations)
}
n_imputations = function(imps) { UseMethod("n_imputations") }

complete.mitml = mitml::mitmlComplete
complete.mids = mice::complete
complete = function(...) { UseMethod("complete") }

library(mice)
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##     cbind, rbind
library(miceadds)
## * miceadds 3.7-6 (2019-12-15 13:38:43)
library(mitml)
## *** This is beta software. Please report any bugs!
## *** See the NEWS file for recent changes.

Load data

birthorder_missing = readRDS("data/alldata_birthorder_missing.rds")
birthorder = readRDS("data/alldata_birthorder_i_ml5.rds")

Data preparations

birthorder <- mids2mitml.list(birthorder)

## Calculate g_factors (for now with rowMeans: better to run factor analysis here as well?)
birthorder <- within(birthorder, {
  g_factor_2015_old <- rowMeans(scale(cbind(raven_2015_old, math_2015_old, count_backwards,  words_delayed, adaptive_numbering)))
})

birthorder <- within(birthorder, {
  g_factor_2015_young <- rowMeans(scale(cbind(raven_2015_young, math_2015_young)))
})

birthorder <- within(birthorder, {
  g_factor_2007_old <- rowMeans(scale(cbind(raven_2007_old, math_2007_old)))
})

birthorder <- within(birthorder, {
  g_factor_2007_young <- rowMeans(scale(cbind(raven_2007_young, math_2007_young)))
})


birthorder = birthorder %>% tbl_df.mitml.list

### Birthorder and Sibling Count
birthorder_data = birthorder[[1]]

birthorder = birthorder %>%
  mutate(birthorder_genes = ifelse(birthorder_genes < 1, 1, birthorder_genes),
         birthorder_naive = ifelse(birthorder_naive < 1, 1, birthorder_naive),
         birthorder_genes = round(birthorder_genes),
         birthorder_naive = round(birthorder_naive),
         sibling_count_genes = ifelse(sibling_count_genes < 2, 2, sibling_count_genes),
         sibling_count_naive = ifelse(sibling_count_naive < 2, 2, sibling_count_naive),
         sibling_count_genes = round(sibling_count_genes),
         sibling_count_naive = round(sibling_count_naive)
         ) %>% 
  group_by(mother_pidlink) %>% 
  # make sure sibling count is consistent with birth order (for which imputation model seems to work better)
  mutate(sibling_count_genes = max(birthorder_genes, sibling_count_genes)) %>% 
  ungroup()


birthorder = birthorder %>% 
  mutate(
# birthorder as factors with levels of 1, 2, 3, 4, 5, 5+
    birthorder_naive_factor = as.character(birthorder_naive),
    birthorder_naive_factor = ifelse(birthorder_naive > 5, "5+",
                                            birthorder_naive_factor),
    birthorder_naive_factor = factor(birthorder_naive_factor, 
                                            levels = c("1","2","3","4","5","5+")),
    sibling_count_naive_factor = as.character(sibling_count_naive),
    sibling_count_naive_factor = ifelse(sibling_count_naive > 5, "5+",
                                               sibling_count_naive_factor),
    sibling_count_naive_factor = factor(sibling_count_naive_factor, 
                                               levels = c("2","3","4","5","5+")),
    birthorder_genes_factor = as.character(birthorder_genes),
    birthorder_genes_factor = ifelse(birthorder_genes >5 , "5+", birthorder_genes_factor),
    birthorder_genes_factor = factor(birthorder_genes_factor, 
                                     levels = c("1","2","3","4","5","5+")),
    sibling_count_genes_factor = as.character(sibling_count_genes),
    sibling_count_genes_factor = ifelse(sibling_count_genes >5 , "5+",
                                        sibling_count_genes_factor),
    sibling_count_genes_factor = factor(sibling_count_genes_factor, 
                                        levels = c("2","3","4","5","5+")),
    # interaction birthorder * siblingcout for each birthorder
    count_birthorder_naive =
      factor(str_replace(as.character(interaction(birthorder_naive_factor,                                                              sibling_count_naive_factor)),
                        "\\.", "/"),
                                           levels =   c("1/2","2/2", "1/3",  "2/3",
                                                        "3/3", "1/4", "2/4", "3/4", "4/4",
                                                        "1/5", "2/5", "3/5", "4/5", "5/5",
                                                        "1/5+", "2/5+", "3/5+", "4/5+",
                                                        "5/5+", "5+/5+")),
    count_birthorder_genes =
      factor(str_replace(as.character(interaction(birthorder_genes_factor,                                                              sibling_count_genes_factor)), "\\.", "/"),
                                           levels =   c("1/2","2/2", "1/3",  "2/3",
                                                        "3/3", "1/4", "2/4", "3/4", "4/4",
                                                        "1/5", "2/5", "3/5", "4/5", "5/5",
                                                        "1/5+", "2/5+", "3/5+", "4/5+",
                                                        "5/5+", "5+/5+")))



### Variables
birthorder = birthorder %>%
  mutate(
    g_factor_2015_old = (g_factor_2015_old - mean(g_factor_2015_old, na.rm=T)) / sd(g_factor_2015_old, na.rm=T),
    g_factor_2015_young = (g_factor_2015_young - mean(g_factor_2015_young, na.rm=T)) / sd(g_factor_2015_young, na.rm=T),
    g_factor_2007_old = (g_factor_2007_old - mean(g_factor_2007_old, na.rm=T)) / sd(g_factor_2007_old, na.rm=T),
g_factor_2007_young = (g_factor_2007_young - mean(g_factor_2007_young, na.rm=T)) / sd(g_factor_2007_young, na.rm=T),
    raven_2015_old = (raven_2015_old - mean(raven_2015_old, na.rm=T)) / sd(raven_2015_old),
    math_2015_old = (math_2015_old - mean(math_2015_old, na.rm=T)) / sd(math_2015_old, na.rm=T),
    raven_2015_young = (raven_2015_young - mean(raven_2015_young, na.rm=T)) / sd(raven_2015_young),
    math_2015_young = (math_2015_young - mean(math_2015_young, na.rm=T)) /
      sd(math_2015_young, na.rm=T),
    raven_2007_old = (raven_2007_old - mean(raven_2007_old, na.rm=T)) / sd(raven_2007_old),
math_2007_old = (math_2007_old - mean(math_2007_old, na.rm=T)) / sd(math_2007_old, na.rm=T),
raven_2007_young = (raven_2007_young - mean(raven_2007_young, na.rm=T)) / sd(raven_2007_young),
math_2007_young = (math_2007_young - mean(math_2007_young, na.rm=T)) /
  sd(math_2007_young, na.rm=T),
    count_backwards = (count_backwards - mean(count_backwards, na.rm=T)) /
      sd(count_backwards, na.rm=T),
    words_delayed = (words_delayed - mean(words_delayed, na.rm=T)) /
      sd(words_delayed, na.rm=T),
    adaptive_numbering = (adaptive_numbering - mean(adaptive_numbering, na.rm=T)) /
      sd(adaptive_numbering, na.rm=T),
    big5_ext = (big5_ext - mean(big5_ext, na.rm=T)) / sd(big5_ext, na.rm=T),
    big5_con = (big5_con - mean(big5_con, na.rm=T)) / sd(big5_con, na.rm=T),
    big5_agree = (big5_agree - mean(big5_agree, na.rm=T)) / sd(big5_agree, na.rm=T),
    big5_open = (big5_open - mean(big5_open, na.rm=T)) / sd(big5_open, na.rm=T),
    big5_neu = (big5_neu - mean(big5_neu, na.rm=T)) / sd(big5_neu, na.rm=T),
    riskA = (riskA - mean(riskA, na.rm=T)) / sd(riskA, na.rm=T),
    riskB = (riskB - mean(riskB, na.rm=T)) / sd(riskB, na.rm=T),
    years_of_education_z = (years_of_education - mean(years_of_education, na.rm=T)) /
      sd(years_of_education, na.rm=T)
)

        
data_used <- birthorder %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

Intelligence

g-factor 2015 old

# Specify your outcome
data_used = data_used %>% mutate(outcome = g_factor_2015_old)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.121     0.030     0.045     0.198     4.084   605.677     0.000     0.397     0.287 
## poly(age, degree = 3, raw = T)1    -0.231     0.011    -0.261    -0.202   -20.237  3801.869     0.000     0.128     0.114 
## poly(age, degree = 3, raw = T)2    -0.055     0.010    -0.080    -0.030    -5.677  2307.628     0.000     0.171     0.146 
## poly(age, degree = 3, raw = T)3     0.006     0.004    -0.003     0.015     1.815  1240.001     0.070     0.248     0.200 
## male                                0.035     0.015    -0.004     0.074     2.342  2709.727     0.019     0.155     0.135 
## sibling_count3                      0.015     0.038    -0.084     0.114     0.400   311.885     0.690     0.657     0.400 
## sibling_count4                     -0.080     0.038    -0.177     0.017    -2.120   410.805     0.035     0.528     0.349 
## sibling_count5                     -0.151     0.041    -0.258    -0.044    -3.652   362.540     0.000     0.581     0.371 
## sibling_count5+                    -0.193     0.036    -0.284    -0.101    -5.411   449.265     0.000     0.493     0.333 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.312 
## Residual~~Residual                     0.616 
## ICC|mother_pidlink                     0.336 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.121     0.030     0.044     0.199     4.046   683.276     0.000     0.366     0.270 
## birth_order                        -0.000     0.006    -0.015     0.015    -0.029   289.041     0.977     0.700     0.416 
## poly(age, degree = 3, raw = T)1    -0.231     0.012    -0.261    -0.201   -19.964  3315.106     0.000     0.138     0.122 
## poly(age, degree = 3, raw = T)2    -0.055     0.010    -0.080    -0.030    -5.681  2336.939     0.000     0.169     0.146 
## poly(age, degree = 3, raw = T)3     0.006     0.004    -0.003     0.015     1.815  1243.079     0.070     0.248     0.200 
## male                                0.035     0.015    -0.004     0.074     2.342  2711.683     0.019     0.155     0.135 
## sibling_count3                      0.015     0.039    -0.084     0.115     0.398   300.459     0.691     0.677     0.408 
## sibling_count4                     -0.080     0.038    -0.178     0.019    -2.085   398.648     0.038     0.540     0.354 
## sibling_count5                     -0.151     0.042    -0.260    -0.042    -3.558   345.278     0.000     0.604     0.380 
## sibling_count5+                    -0.192     0.040    -0.296    -0.089    -4.791   316.216     0.000     0.649     0.397 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.312 
## Residual~~Residual                     0.616 
## ICC|mother_pidlink                     0.336 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.117     0.031     0.038     0.195     3.819   593.014     0.000     0.403     0.290 
## birth_order_nonlinear2              0.015     0.024    -0.047     0.077     0.617   251.526     0.538     0.790     0.446 
## birth_order_nonlinear3              0.018     0.027    -0.052     0.089     0.661   368.639     0.509     0.574     0.368 
## birth_order_nonlinear4              0.006     0.034    -0.083     0.095     0.168   299.325     0.867     0.680     0.409 
## birth_order_nonlinear5              0.022     0.044    -0.092     0.136     0.507   303.532     0.613     0.672     0.406 
## birth_order_nonlinear5+            -0.006     0.041    -0.113     0.101    -0.148   320.673     0.882     0.642     0.395 
## poly(age, degree = 3, raw = T)1    -0.231     0.012    -0.261    -0.201   -19.977  3351.285     0.000     0.138     0.121 
## poly(age, degree = 3, raw = T)2    -0.055     0.010    -0.080    -0.030    -5.713  2363.845     0.000     0.168     0.145 
## poly(age, degree = 3, raw = T)3     0.006     0.004    -0.003     0.016     1.840  1264.896     0.066     0.245     0.198 
## male                                0.035     0.015    -0.004     0.074     2.338  2703.547     0.019     0.156     0.135 
## sibling_count3                      0.012     0.039    -0.090     0.113     0.295   289.968     0.768     0.698     0.415 
## sibling_count4                     -0.083     0.039    -0.184     0.018    -2.123   381.296     0.034     0.559     0.362 
## sibling_count5                     -0.157     0.043    -0.268    -0.045    -3.629   345.170     0.000     0.605     0.380 
## sibling_count5+                    -0.194     0.040    -0.298    -0.089    -4.786   310.613     0.000     0.659     0.401 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.312 
## Residual~~Residual                     0.616 
## ICC|mother_pidlink                     0.336 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.123     0.033     0.036     0.209     3.662   567.433     0.000     0.416     0.296 
## count_birth_order2/2               -0.003     0.046    -0.121     0.116    -0.061   478.384     0.951     0.471     0.323 
## count_birth_order1/3                0.005     0.047    -0.116     0.126     0.110   310.826     0.913     0.658     0.401 
## count_birth_order2/3                0.040     0.051    -0.091     0.172     0.794   343.742     0.428     0.607     0.381 
## count_birth_order3/3                0.000     0.052    -0.134     0.134     0.006   439.671     0.995     0.501     0.337 
## count_birth_order1/4               -0.103     0.051    -0.235     0.029    -2.013   286.428     0.045     0.705     0.418 
## count_birth_order2/4               -0.063     0.053    -0.200     0.074    -1.190   346.449     0.235     0.603     0.380 
## count_birth_order3/4               -0.057     0.055    -0.199     0.086    -1.025   521.512     0.306     0.442     0.309 
## count_birth_order4/4               -0.086     0.056    -0.230     0.059    -1.529   388.954     0.127     0.550     0.358 
## count_birth_order1/5               -0.156     0.058    -0.304    -0.007    -2.696   281.130     0.007     0.717     0.422 
## count_birth_order2/5               -0.147     0.064    -0.313     0.018    -2.289   276.475     0.023     0.727     0.425 
## count_birth_order3/5               -0.150     0.064    -0.314     0.015    -2.348   470.637     0.019     0.476     0.326 
## count_birth_order4/5               -0.149     0.068    -0.325     0.027    -2.186   489.888     0.029     0.463     0.319 
## count_birth_order5/5               -0.156     0.070    -0.337     0.025    -2.217   257.450     0.028     0.774     0.441 
## count_birth_order1/5+              -0.198     0.053    -0.336    -0.060    -3.705   241.451     0.000     0.820     0.455 
## count_birth_order2/5+              -0.209     0.054    -0.347    -0.070    -3.883   342.730     0.000     0.608     0.382 
## count_birth_order3/5+              -0.163     0.060    -0.318    -0.007    -2.696   260.862     0.007     0.765     0.438 
## count_birth_order4/5+              -0.195     0.057    -0.342    -0.048    -3.418   532.264     0.001     0.436     0.306 
## count_birth_order5/5+              -0.162     0.062    -0.321    -0.003    -2.627   467.388     0.009     0.479     0.327 
## count_birth_order5+/5+             -0.205     0.046    -0.323    -0.087    -4.480   594.011     0.000     0.403     0.290 
## poly(age, degree = 3, raw = T)1    -0.231     0.012    -0.261    -0.201   -19.979  3402.879     0.000     0.136     0.121 
## poly(age, degree = 3, raw = T)2    -0.055     0.010    -0.080    -0.030    -5.680  2217.049     0.000     0.175     0.149 
## poly(age, degree = 3, raw = T)3     0.006     0.004    -0.003     0.016     1.836  1229.337     0.067     0.249     0.201 
## male                                0.035     0.015    -0.004     0.074     2.337  2736.574     0.020     0.154     0.134 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.312 
## Residual~~Residual                     0.616 
## ICC|mother_pidlink                     0.336 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.188       10 3030.462    0.997    0.666 
##   2 vs 3:    0.234        4 1271.782    0.919    0.631 
##   3 vs 4:    0.001        1  257.226    0.979    0.699

g-factor 2015 young

# Specify your outcome
data_used = data_used %>% mutate(outcome = g_factor_2015_young)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.009     0.090    -0.241     0.223    -0.096    57.313     0.924    12.270     0.927 
## poly(age, degree = 3, raw = T)1    -0.098     0.083    -0.312     0.115    -1.186    50.660     0.241    59.520     0.984 
## poly(age, degree = 3, raw = T)2     0.073     0.066    -0.097     0.243     1.112    50.841     0.272    53.730     0.982 
## poly(age, degree = 3, raw = T)3     0.023     0.030    -0.054     0.099     0.771    50.119     0.445    88.109     0.989 
## male                               -0.027     0.018    -0.074     0.020    -1.469   306.246     0.143     0.667     0.404 
## sibling_count3                      0.021     0.037    -0.073     0.115     0.580   367.095     0.562     0.576     0.369 
## sibling_count4                     -0.058     0.038    -0.155     0.039    -1.547   355.762     0.123     0.590     0.375 
## sibling_count5                     -0.107     0.040    -0.210    -0.003    -2.656   375.696     0.008     0.565     0.365 
## sibling_count5+                    -0.152     0.037    -0.247    -0.058    -4.154   307.021     0.000     0.665     0.403 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.268 
## Residual~~Residual                     0.641 
## ICC|mother_pidlink                     0.295 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.006     0.091    -0.240     0.227    -0.071    57.641     0.944    11.821     0.925 
## birth_order                        -0.002     0.006    -0.016     0.013    -0.303   297.644     0.762     0.683     0.410 
## poly(age, degree = 3, raw = T)1    -0.099     0.083    -0.314     0.116    -1.187    50.672     0.241    59.092     0.984 
## poly(age, degree = 3, raw = T)2     0.073     0.066    -0.097     0.243     1.111    50.841     0.272    53.740     0.982 
## poly(age, degree = 3, raw = T)3     0.023     0.030    -0.054     0.099     0.772    50.119     0.444    88.083     0.989 
## male                               -0.027     0.018    -0.074     0.020    -1.470   306.714     0.143     0.666     0.404 
## sibling_count3                      0.022     0.037    -0.072     0.116     0.602   373.711     0.547     0.568     0.365 
## sibling_count4                     -0.056     0.038    -0.154     0.041    -1.485   356.211     0.138     0.590     0.374 
## sibling_count5                     -0.104     0.041    -0.210     0.002    -2.534   360.716     0.012     0.584     0.372 
## sibling_count5+                    -0.148     0.040    -0.252    -0.044    -3.655   265.894     0.000     0.752     0.434 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.268 
## Residual~~Residual                     0.641 
## ICC|mother_pidlink                     0.295 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.011     0.091    -0.245     0.224    -0.117    57.631     0.907    11.835     0.925 
## birth_order_nonlinear2              0.007     0.024    -0.055     0.068     0.283   268.161     0.777     0.747     0.432 
## birth_order_nonlinear3              0.025     0.030    -0.052     0.102     0.835   232.455     0.405     0.849     0.464 
## birth_order_nonlinear4              0.014     0.035    -0.077     0.105     0.394   274.813     0.694     0.731     0.426 
## birth_order_nonlinear5             -0.003     0.044    -0.117     0.111    -0.067   312.006     0.947     0.656     0.400 
## birth_order_nonlinear5+            -0.001     0.045    -0.116     0.113    -0.029   224.075     0.977     0.878     0.472 
## poly(age, degree = 3, raw = T)1    -0.098     0.083    -0.313     0.116    -1.182    50.675     0.243    59.006     0.984 
## poly(age, degree = 3, raw = T)2     0.073     0.066    -0.097     0.243     1.108    50.842     0.273    53.693     0.982 
## poly(age, degree = 3, raw = T)3     0.023     0.030    -0.054     0.099     0.773    50.120     0.443    87.988     0.989 
## male                               -0.027     0.018    -0.074     0.020    -1.467   302.611     0.144     0.673     0.406 
## sibling_count3                      0.015     0.037    -0.080     0.111     0.416   359.478     0.678     0.585     0.373 
## sibling_count4                     -0.065     0.039    -0.166     0.037    -1.645   314.799     0.101     0.652     0.398 
## sibling_count5                     -0.111     0.043    -0.222     0.000    -2.575   299.372     0.011     0.679     0.409 
## sibling_count5+                    -0.155     0.041    -0.261    -0.050    -3.808   261.603     0.000     0.763     0.437 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.268 
## Residual~~Residual                     0.641 
## ICC|mother_pidlink                     0.295 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.002     0.091    -0.237     0.233    -0.021    59.610     0.983     9.712     0.910 
## count_birth_order2/2               -0.019     0.048    -0.144     0.105    -0.398   339.777     0.691     0.612     0.383 
## count_birth_order1/3                0.008     0.049    -0.117     0.133     0.173   244.916     0.863     0.809     0.452 
## count_birth_order2/3                0.035     0.049    -0.091     0.162     0.720   413.250     0.472     0.525     0.347 
## count_birth_order3/3                0.001     0.054    -0.137     0.140     0.025   337.237     0.980     0.616     0.385 
## count_birth_order1/4               -0.086     0.052    -0.219     0.047    -1.658   258.189     0.099     0.772     0.440 
## count_birth_order2/4               -0.073     0.054    -0.212     0.066    -1.346   301.042     0.179     0.676     0.407 
## count_birth_order3/4               -0.023     0.058    -0.173     0.128    -0.390   334.329     0.697     0.620     0.386 
## count_birth_order4/4               -0.055     0.057    -0.201     0.092    -0.965   337.450     0.335     0.616     0.385 
## count_birth_order1/5               -0.118     0.057    -0.265     0.028    -2.080   288.207     0.038     0.702     0.416 
## count_birth_order2/5               -0.112     0.067    -0.284     0.060    -1.681   225.240     0.094     0.874     0.471 
## count_birth_order3/5               -0.085     0.063    -0.249     0.078    -1.342   475.144     0.180     0.473     0.324 
## count_birth_order4/5               -0.125     0.069    -0.303     0.052    -1.820   438.075     0.069     0.503     0.337 
## count_birth_order5/5               -0.123     0.069    -0.302     0.055    -1.778   274.971     0.076     0.731     0.426 
## count_birth_order1/5+              -0.168     0.055    -0.309    -0.027    -3.078   208.390     0.002     0.941     0.490 
## count_birth_order2/5+              -0.162     0.053    -0.297    -0.026    -3.080   382.425     0.002     0.558     0.361 
## count_birth_order3/5+              -0.134     0.063    -0.297     0.029    -2.112   205.071     0.036     0.956     0.494 
## count_birth_order4/5+              -0.143     0.061    -0.300     0.013    -2.359   325.199     0.019     0.634     0.392 
## count_birth_order5/5+              -0.167     0.068    -0.342     0.007    -2.470   254.860     0.014     0.781     0.443 
## count_birth_order5+/5+             -0.165     0.050    -0.293    -0.038    -3.338   301.147     0.001     0.676     0.407 
## poly(age, degree = 3, raw = T)1    -0.098     0.083    -0.313     0.116    -1.182    50.680     0.243    58.824     0.984 
## poly(age, degree = 3, raw = T)2     0.073     0.066    -0.097     0.243     1.109    50.843     0.273    53.680     0.982 
## poly(age, degree = 3, raw = T)3     0.023     0.030    -0.054     0.099     0.772    50.120     0.444    88.008     0.989 
## male                               -0.027     0.018    -0.074     0.020    -1.461   305.641     0.145     0.668     0.404 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.268 
## Residual~~Residual                     0.641 
## ICC|mother_pidlink                     0.295 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.131       10 2167.699    0.999    0.897 
##   2 vs 3:    0.147        4  904.369    0.964    0.849 
##   3 vs 4:    0.094        1  263.879    0.760    0.684

Personality

Extraversion

# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_ext)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.138     0.029     0.065     0.212     4.854   714.856     0.000     0.355     0.264 
## poly(age, degree = 3, raw = T)1    -0.000     0.011    -0.029     0.029    -0.016  6508.682     0.987     0.095     0.087 
## poly(age, degree = 3, raw = T)2     0.018     0.010    -0.007     0.044     1.836  3625.354     0.066     0.132     0.117 
## poly(age, degree = 3, raw = T)3    -0.011     0.003    -0.019    -0.002    -3.131 10116.541     0.002     0.075     0.070 
## male                               -0.225     0.017    -0.269    -0.182   -13.332  2332.303     0.000     0.170     0.146 
## sibling_count3                     -0.021     0.032    -0.105     0.063    -0.644   709.867     0.520     0.356     0.265 
## sibling_count4                     -0.051     0.035    -0.141     0.040    -1.438   373.512     0.151     0.568     0.366 
## sibling_count5                     -0.049     0.037    -0.145     0.047    -1.321   400.678     0.187     0.538     0.353 
## sibling_count5+                    -0.056     0.032    -0.138     0.025    -1.782   569.796     0.075     0.415     0.296 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.059 
## Residual~~Residual                     0.926 
## ICC|mother_pidlink                     0.060 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.128     0.029     0.054     0.202     4.434   912.177     0.000     0.302     0.233 
## birth_order                         0.008     0.006    -0.008     0.023     1.310   353.151     0.191     0.594     0.376 
## poly(age, degree = 3, raw = T)1     0.001     0.011    -0.028     0.031     0.120  5920.337     0.904     0.100     0.091 
## poly(age, degree = 3, raw = T)2     0.019     0.010    -0.007     0.045     1.877  3594.521     0.061     0.132     0.117 
## poly(age, degree = 3, raw = T)3    -0.011     0.003    -0.020    -0.002    -3.179  9930.217     0.001     0.076     0.070 
## male                               -0.225     0.017    -0.269    -0.182   -13.339  2370.631     0.000     0.168     0.144 
## sibling_count3                     -0.024     0.033    -0.109     0.060    -0.747   671.102     0.455     0.370     0.272 
## sibling_count4                     -0.058     0.036    -0.151     0.035    -1.602   339.181     0.110     0.613     0.384 
## sibling_count5                     -0.059     0.038    -0.158     0.039    -1.554   379.174     0.121     0.561     0.363 
## sibling_count5+                    -0.076     0.037    -0.170     0.018    -2.078   363.955     0.038     0.580     0.370 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.059 
## Residual~~Residual                     0.926 
## ICC|mother_pidlink                     0.060 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.129     0.029     0.054     0.205     4.417   832.591     0.000     0.320     0.244 
## birth_order_nonlinear2              0.026     0.026    -0.040     0.092     1.016   345.978     0.311     0.603     0.380 
## birth_order_nonlinear3              0.027     0.032    -0.055     0.109     0.852   292.014     0.395     0.694     0.414 
## birth_order_nonlinear4              0.056     0.038    -0.041     0.153     1.497   350.126     0.135     0.598     0.378 
## birth_order_nonlinear5              0.092     0.050    -0.037     0.221     1.830   283.660     0.068     0.711     0.420 
## birth_order_nonlinear5+             0.023     0.045    -0.092     0.139     0.520   326.717     0.604     0.632     0.391 
## poly(age, degree = 3, raw = T)1     0.001     0.011    -0.028     0.030     0.113  6159.729     0.910     0.098     0.089 
## poly(age, degree = 3, raw = T)2     0.019     0.010    -0.007     0.045     1.875  3561.133     0.061     0.133     0.118 
## poly(age, degree = 3, raw = T)3    -0.011     0.003    -0.020    -0.002    -3.175 10059.129     0.002     0.075     0.070 
## male                               -0.225     0.017    -0.269    -0.182   -13.353  2376.271     0.000     0.168     0.144 
## sibling_count3                     -0.026     0.033    -0.113     0.060    -0.786   631.590     0.432     0.386     0.281 
## sibling_count4                     -0.065     0.038    -0.163     0.033    -1.715   298.639     0.087     0.681     0.409 
## sibling_count5                     -0.073     0.039    -0.175     0.028    -1.865   380.086     0.063     0.560     0.362 
## sibling_count5+                    -0.076     0.037    -0.172     0.019    -2.062   357.713     0.040     0.588     0.374 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.059 
## Residual~~Residual                     0.926 
## ICC|mother_pidlink                     0.060 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.132     0.032     0.049     0.215     4.092  1113.263     0.000     0.265     0.211 
## count_birth_order2/2                0.018     0.051    -0.113     0.149     0.352   512.136     0.725     0.448     0.312 
## count_birth_order1/3               -0.047     0.042    -0.154     0.060    -1.129  1061.007     0.259     0.274     0.216 
## count_birth_order2/3                0.025     0.052    -0.108     0.157     0.478   383.167     0.633     0.557     0.361 
## count_birth_order3/3               -0.003     0.051    -0.134     0.128    -0.057   769.110     0.955     0.338     0.254 
## count_birth_order1/4               -0.053     0.053    -0.190     0.084    -0.988   249.071     0.324     0.797     0.448 
## count_birth_order2/4               -0.051     0.051    -0.182     0.081    -0.992   626.588     0.321     0.388     0.282 
## count_birth_order3/4               -0.041     0.059    -0.193     0.112    -0.686   434.265     0.493     0.506     0.339 
## count_birth_order4/4               -0.026     0.057    -0.172     0.119    -0.466   506.254     0.641     0.452     0.314 
## count_birth_order1/5               -0.058     0.059    -0.209     0.094    -0.982   270.344     0.327     0.741     0.430 
## count_birth_order2/5               -0.048     0.063    -0.212     0.115    -0.763   374.321     0.446     0.567     0.365 
## count_birth_order3/5               -0.049     0.067    -0.220     0.122    -0.737   497.723     0.462     0.457     0.317 
## count_birth_order4/5               -0.006     0.076    -0.203     0.191    -0.080   326.362     0.937     0.633     0.391 
## count_birth_order5/5               -0.034     0.071    -0.215     0.148    -0.476   340.916     0.635     0.611     0.383 
## count_birth_order1/5+              -0.088     0.051    -0.219     0.043    -1.735   346.075     0.084     0.603     0.380 
## count_birth_order2/5+              -0.073     0.053    -0.209     0.063    -1.384   514.831     0.167     0.446     0.311 
## count_birth_order3/5+              -0.051     0.062    -0.211     0.110    -0.817   282.011     0.415     0.715     0.421 
## count_birth_order4/5+              -0.013     0.063    -0.174     0.148    -0.213   396.772     0.832     0.542     0.355 
## count_birth_order5/5+               0.059     0.065    -0.109     0.228     0.905   496.252     0.366     0.458     0.317 
## count_birth_order5+/5+             -0.055     0.045    -0.172     0.061    -1.223   718.775     0.222     0.353     0.263 
## poly(age, degree = 3, raw = T)1     0.001     0.011    -0.028     0.030     0.093  6055.282     0.926     0.099     0.090 
## poly(age, degree = 3, raw = T)2     0.019     0.010    -0.007     0.045     1.873  3711.691     0.061     0.130     0.115 
## poly(age, degree = 3, raw = T)3    -0.011     0.003    -0.020    -0.002    -3.154 10257.070     0.002     0.074     0.069 
## male                               -0.225     0.017    -0.269    -0.182   -13.352  2373.810     0.000     0.168     0.144 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.059 
## Residual~~Residual                     0.925 
## ICC|mother_pidlink                     0.060 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.269       10 2904.943    0.988    0.690 
##   2 vs 3:    0.839        4 1453.298    0.500    0.566 
##   3 vs 4:    1.716        1  312.727    0.191    0.592

Neuroticism

# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_neu)
compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.100     0.029     0.025     0.176     3.435   551.057     0.001     0.425     0.301 
## poly(age, degree = 3, raw = T)1    -0.124     0.011    -0.153    -0.095   -10.975  5479.484     0.000     0.104     0.095 
## poly(age, degree = 3, raw = T)2     0.009     0.010    -0.018     0.035     0.856  1787.616     0.392     0.198     0.166 
## poly(age, degree = 3, raw = T)3     0.000     0.003    -0.009     0.009     0.039  5283.733     0.969     0.107     0.097 
## male                               -0.261     0.017    -0.304    -0.219   -15.803  2987.802     0.000     0.147     0.129 
## sibling_count3                      0.009     0.034    -0.079     0.097     0.263   464.860     0.792     0.481     0.328 
## sibling_count4                      0.002     0.034    -0.086     0.090     0.062   481.084     0.950     0.469     0.322 
## sibling_count5                      0.020     0.038    -0.079     0.119     0.520   339.413     0.603     0.613     0.384 
## sibling_count5+                     0.048     0.033    -0.036     0.133     1.474   421.022     0.141     0.518     0.344 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.082 
## Residual~~Residual                     0.887 
## ICC|mother_pidlink                     0.085 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.100     0.029     0.024     0.176     3.394   699.724     0.001     0.360     0.267 
## birth_order                         0.000     0.006    -0.015     0.015     0.049   411.710     0.961     0.527     0.348 
## poly(age, degree = 3, raw = T)1    -0.124     0.011    -0.153    -0.095   -10.904  5128.009     0.000     0.108     0.098 
## poly(age, degree = 3, raw = T)2     0.009     0.010    -0.018     0.035     0.858  1855.793     0.391     0.194     0.163 
## poly(age, degree = 3, raw = T)3     0.000     0.003    -0.009     0.009     0.038  5707.913     0.970     0.102     0.093 
## male                               -0.261     0.017    -0.304    -0.219   -15.798  2961.675     0.000     0.148     0.129 
## sibling_count3                      0.009     0.034    -0.079     0.097     0.258   450.632     0.797     0.492     0.333 
## sibling_count4                      0.002     0.035    -0.088     0.092     0.053   440.546     0.958     0.500     0.337 
## sibling_count5                      0.020     0.040    -0.084     0.123     0.486   286.752     0.627     0.705     0.417 
## sibling_count5+                     0.048     0.037    -0.048     0.144     1.282   329.334     0.201     0.628     0.389 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.082 
## Residual~~Residual                     0.887 
## ICC|mother_pidlink                     0.085 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.103     0.031     0.024     0.182     3.378   524.852     0.001     0.440     0.308 
## birth_order_nonlinear2             -0.009     0.026    -0.075     0.058    -0.331   308.405     0.741     0.663     0.402 
## birth_order_nonlinear3              0.019     0.032    -0.063     0.101     0.589   271.464     0.556     0.739     0.429 
## birth_order_nonlinear4             -0.040     0.036    -0.133     0.054    -1.087   403.341     0.278     0.535     0.352 
## birth_order_nonlinear5             -0.033     0.047    -0.155     0.088    -0.708   387.466     0.480     0.552     0.359 
## birth_order_nonlinear5+             0.016     0.045    -0.099     0.132     0.367   318.922     0.714     0.645     0.396 
## poly(age, degree = 3, raw = T)1    -0.124     0.011    -0.154    -0.095   -10.925  4954.707     0.000     0.110     0.100 
## poly(age, degree = 3, raw = T)2     0.009     0.010    -0.018     0.035     0.855  1858.249     0.392     0.194     0.163 
## poly(age, degree = 3, raw = T)3     0.000     0.003    -0.009     0.009     0.047  5610.668     0.963     0.103     0.094 
## male                               -0.261     0.017    -0.304    -0.219   -15.777  2921.707     0.000     0.149     0.130 
## sibling_count3                      0.004     0.035    -0.086     0.094     0.115   450.112     0.909     0.492     0.333 
## sibling_count4                      0.006     0.035    -0.085     0.097     0.169   494.936     0.866     0.459     0.317 
## sibling_count5                      0.027     0.041    -0.079     0.132     0.652   304.149     0.515     0.671     0.405 
## sibling_count5+                     0.048     0.038    -0.049     0.145     1.265   321.988     0.207     0.640     0.394 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.082 
## Residual~~Residual                     0.887 
## ICC|mother_pidlink                     0.085 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.105     0.034     0.016     0.194     3.039   495.390     0.002     0.459     0.317 
## count_birth_order2/2               -0.013     0.050    -0.143     0.116    -0.265   510.677     0.791     0.449     0.312 
## count_birth_order1/3               -0.013     0.045    -0.129     0.102    -0.296   448.678     0.767     0.494     0.333 
## count_birth_order2/3                0.006     0.050    -0.123     0.134     0.112   476.301     0.911     0.472     0.324 
## count_birth_order3/3                0.036     0.055    -0.105     0.177     0.662   382.480     0.508     0.557     0.361 
## count_birth_order1/4                0.008     0.049    -0.118     0.134     0.162   399.475     0.871     0.539     0.353 
## count_birth_order2/4                0.009     0.054    -0.130     0.147     0.165   377.233     0.869     0.563     0.364 
## count_birth_order3/4                0.010     0.063    -0.153     0.173     0.157   269.782     0.875     0.743     0.430 
## count_birth_order4/4               -0.046     0.056    -0.190     0.098    -0.829   530.060     0.408     0.437     0.307 
## count_birth_order1/5                0.055     0.060    -0.098     0.208     0.923   246.801     0.357     0.804     0.450 
## count_birth_order2/5               -0.023     0.067    -0.196     0.151    -0.341   252.677     0.733     0.787     0.445 
## count_birth_order3/5                0.056     0.070    -0.125     0.237     0.795   314.127     0.427     0.653     0.399 
## count_birth_order4/5               -0.011     0.075    -0.203     0.182    -0.143   358.461     0.887     0.587     0.373 
## count_birth_order5/5               -0.031     0.069    -0.209     0.148    -0.442   369.069     0.659     0.573     0.368 
## count_birth_order1/5+               0.039     0.052    -0.096     0.175     0.751   278.844     0.453     0.722     0.423 
## count_birth_order2/5+               0.039     0.054    -0.100     0.179     0.727   392.733     0.468     0.546     0.356 
## count_birth_order3/5+               0.051     0.063    -0.112     0.214     0.812   251.325     0.418     0.791     0.446 
## count_birth_order4/5+               0.017     0.066    -0.154     0.188     0.260   262.987     0.795     0.759     0.436 
## count_birth_order5/5+               0.033     0.064    -0.132     0.198     0.516   576.271     0.606     0.412     0.294 
## count_birth_order5+/5+              0.063     0.046    -0.056     0.182     1.364   571.235     0.173     0.414     0.295 
## poly(age, degree = 3, raw = T)1    -0.125     0.011    -0.154    -0.095   -10.945  5046.216     0.000     0.109     0.099 
## poly(age, degree = 3, raw = T)2     0.009     0.010    -0.018     0.035     0.845  1849.186     0.398     0.194     0.164 
## poly(age, degree = 3, raw = T)3     0.000     0.003    -0.009     0.009     0.062  5610.551     0.951     0.103     0.094 
## male                               -0.261     0.017    -0.304    -0.219   -15.762  2827.548     0.000     0.152     0.132 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.082 
## Residual~~Residual                     0.886 
## ICC|mother_pidlink                     0.085 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.206       10 3135.163    0.996    0.647 
##   2 vs 3:    0.683        4 1125.025    0.604    0.699 
##   3 vs 4:    0.002        1  362.589    0.962    0.526

Conscientiousness

# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_con)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.035     0.027    -0.034     0.104     1.318  1288.292     0.188     0.242     0.196 
## poly(age, degree = 3, raw = T)1     0.219     0.011     0.191     0.248    19.680  5144.962     0.000     0.108     0.098 
## poly(age, degree = 3, raw = T)2    -0.068     0.010    -0.093    -0.042    -6.797  2915.562     0.000     0.149     0.130 
## poly(age, degree = 3, raw = T)3     0.004     0.003    -0.004     0.013     1.304  5533.901     0.192     0.104     0.094 
## male                                0.049     0.017     0.005     0.092     2.882  1609.155     0.004     0.211     0.176 
## sibling_count3                     -0.016     0.034    -0.105     0.072    -0.476   367.731     0.635     0.575     0.368 
## sibling_count4                     -0.012     0.032    -0.095     0.070    -0.385   702.640     0.700     0.359     0.266 
## sibling_count5                      0.002     0.035    -0.088     0.092     0.057   581.511     0.955     0.409     0.293 
## sibling_count5+                     0.035     0.030    -0.041     0.111     1.180   987.080     0.238     0.287     0.224 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.051 
## Residual~~Residual                     0.905 
## ICC|mother_pidlink                     0.053 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.038     0.028    -0.034     0.111     1.363  1055.475     0.173     0.275     0.217 
## birth_order                        -0.002     0.006    -0.018     0.014    -0.349   248.201     0.727     0.800     0.449 
## poly(age, degree = 3, raw = T)1     0.219     0.011     0.190     0.248    19.438  4072.200     0.000     0.123     0.110 
## poly(age, degree = 3, raw = T)2    -0.068     0.010    -0.093    -0.042    -6.790  2732.288     0.000     0.155     0.135 
## poly(age, degree = 3, raw = T)3     0.004     0.003    -0.004     0.013     1.313  4981.474     0.189     0.110     0.100 
## male                                0.049     0.017     0.005     0.092     2.882  1616.078     0.004     0.211     0.175 
## sibling_count3                     -0.015     0.034    -0.104     0.073    -0.447   374.940     0.655     0.566     0.365 
## sibling_count4                     -0.010     0.033    -0.094     0.074    -0.318   675.038     0.751     0.369     0.272 
## sibling_count5                      0.005     0.036    -0.089     0.098     0.134   498.681     0.893     0.457     0.316 
## sibling_count5+                     0.040     0.034    -0.048     0.128     1.181   540.286     0.238     0.431     0.304 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.051 
## Residual~~Residual                     0.905 
## ICC|mother_pidlink                     0.053 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.042     0.028    -0.031     0.115     1.482  1030.906     0.139     0.279     0.220 
## birth_order_nonlinear2             -0.019     0.025    -0.083     0.045    -0.762   380.523     0.447     0.560     0.362 
## birth_order_nonlinear3             -0.003     0.033    -0.088     0.082    -0.091   228.423     0.927     0.863     0.468 
## birth_order_nonlinear4             -0.015     0.042    -0.124     0.093    -0.366   186.286     0.715     1.053     0.518 
## birth_order_nonlinear5             -0.016     0.048    -0.141     0.108    -0.337   320.248     0.737     0.642     0.395 
## birth_order_nonlinear5+            -0.006     0.048    -0.129     0.116    -0.129   222.729     0.897     0.883     0.474 
## poly(age, degree = 3, raw = T)1     0.219     0.011     0.190     0.248    19.453  4051.065     0.000     0.124     0.110 
## poly(age, degree = 3, raw = T)2    -0.068     0.010    -0.093    -0.042    -6.781  2683.513     0.000     0.156     0.136 
## poly(age, degree = 3, raw = T)3     0.004     0.003    -0.004     0.013     1.308  4949.134     0.191     0.110     0.100 
## male                                0.049     0.017     0.005     0.092     2.886  1619.273     0.004     0.211     0.175 
## sibling_count3                     -0.017     0.035    -0.107     0.074    -0.471   357.465     0.638     0.588     0.374 
## sibling_count4                     -0.010     0.034    -0.098     0.077    -0.305   571.990     0.760     0.414     0.295 
## sibling_count5                      0.005     0.037    -0.091     0.101     0.126   508.556     0.899     0.450     0.313 
## sibling_count5+                     0.037     0.035    -0.053     0.126     1.053   496.661     0.293     0.458     0.317 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.051 
## Residual~~Residual                     0.904 
## ICC|mother_pidlink                     0.053 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.052     0.033    -0.033     0.137     1.568   664.918     0.117     0.373     0.274 
## count_birth_order2/2               -0.048     0.054    -0.187     0.092    -0.884   300.073     0.377     0.678     0.408 
## count_birth_order1/3               -0.009     0.047    -0.129     0.112    -0.183   308.092     0.855     0.663     0.403 
## count_birth_order2/3               -0.060     0.052    -0.193     0.073    -1.169   340.678     0.243     0.611     0.383 
## count_birth_order3/3               -0.046     0.052    -0.181     0.089    -0.870   493.185     0.385     0.460     0.318 
## count_birth_order1/4               -0.029     0.051    -0.161     0.103    -0.566   278.921     0.572     0.722     0.423 
## count_birth_order2/4               -0.018     0.053    -0.154     0.119    -0.335   384.688     0.738     0.555     0.360 
## count_birth_order3/4               -0.005     0.060    -0.160     0.150    -0.081   341.199     0.936     0.610     0.383 
## count_birth_order4/4               -0.067     0.058    -0.216     0.083    -1.147   367.570     0.252     0.575     0.369 
## count_birth_order1/5               -0.033     0.056    -0.178     0.112    -0.588   315.315     0.557     0.651     0.398 
## count_birth_order2/5               -0.001     0.065    -0.168     0.166    -0.022   293.863     0.982     0.690     0.412 
## count_birth_order3/5                0.027     0.069    -0.150     0.204     0.392   342.112     0.695     0.609     0.382 
## count_birth_order4/5               -0.021     0.076    -0.215     0.174    -0.272   315.477     0.786     0.650     0.398 
## count_birth_order5/5               -0.036     0.069    -0.214     0.143    -0.514   347.582     0.608     0.601     0.379 
## count_birth_order1/5+               0.017     0.050    -0.113     0.146     0.329   331.805     0.742     0.624     0.388 
## count_birth_order2/5+               0.006     0.056    -0.137     0.150     0.109   303.987     0.914     0.671     0.405 
## count_birth_order3/5+               0.001     0.060    -0.154     0.157     0.023   308.666     0.982     0.662     0.402 
## count_birth_order4/5+               0.048     0.068    -0.126     0.222     0.716   230.715     0.475     0.855     0.465 
## count_birth_order5/5+               0.024     0.065    -0.143     0.191     0.367   477.128     0.714     0.472     0.323 
## count_birth_order5+/5+              0.021     0.047    -0.100     0.141     0.441   442.049     0.659     0.499     0.336 
## poly(age, degree = 3, raw = T)1     0.220     0.011     0.191     0.249    19.496  4169.888     0.000     0.122     0.109 
## poly(age, degree = 3, raw = T)2    -0.067     0.010    -0.093    -0.042    -6.754  2723.309     0.000     0.155     0.135 
## poly(age, degree = 3, raw = T)3     0.004     0.003    -0.004     0.013     1.297  5190.614     0.195     0.108     0.098 
## male                                0.049     0.017     0.005     0.093     2.886  1544.016     0.004     0.217     0.179 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.051 
## Residual~~Residual                     0.904 
## ICC|mother_pidlink                     0.053 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.325       10 2672.812    0.975    0.741 
##   2 vs 3:    0.127        4 1041.492    0.973    0.747 
##   3 vs 4:    0.122        1  221.312    0.728    0.801

Agreeableness

# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_agree)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.002     0.029    -0.076     0.073    -0.055   657.704     0.956     0.375     0.275 
## poly(age, degree = 3, raw = T)1     0.096     0.011     0.067     0.125     8.502  8122.250     0.000     0.084     0.078 
## poly(age, degree = 3, raw = T)2    -0.030     0.010    -0.055    -0.004    -2.959  4277.975     0.003     0.120     0.107 
## poly(age, degree = 3, raw = T)3    -0.000     0.003    -0.009     0.008    -0.138 12785.531     0.891     0.066     0.062 
## male                                0.057     0.017     0.014     0.101     3.376  2203.191     0.001     0.175     0.150 
## sibling_count3                     -0.010     0.034    -0.097     0.077    -0.300   527.111     0.764     0.439     0.308 
## sibling_count4                     -0.005     0.035    -0.096     0.086    -0.139   392.097     0.890     0.547     0.357 
## sibling_count5                      0.032     0.038    -0.066     0.130     0.848   357.287     0.397     0.588     0.374 
## sibling_count5+                     0.003     0.032    -0.078     0.085     0.102   595.465     0.918     0.402     0.289 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.923 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.001     0.029    -0.077     0.075    -0.037   747.246     0.970     0.344     0.258 
## birth_order                        -0.000     0.006    -0.015     0.014    -0.068   635.750     0.946     0.384     0.280 
## poly(age, degree = 3, raw = T)1     0.096     0.011     0.067     0.125     8.488  9494.112     0.000     0.077     0.072 
## poly(age, degree = 3, raw = T)2    -0.030     0.010    -0.055    -0.004    -2.960  4329.944     0.003     0.119     0.107 
## poly(age, degree = 3, raw = T)3    -0.000     0.003    -0.009     0.008    -0.135 13190.506     0.893     0.065     0.061 
## male                                0.057     0.017     0.014     0.101     3.377  2210.522     0.001     0.175     0.150 
## sibling_count3                     -0.010     0.034    -0.097     0.077    -0.294   524.520     0.769     0.440     0.308 
## sibling_count4                     -0.005     0.036    -0.097     0.088    -0.127   376.461     0.899     0.564     0.364 
## sibling_count5                      0.033     0.039    -0.068     0.134     0.838   343.555     0.403     0.607     0.381 
## sibling_count5+                     0.004     0.035    -0.087     0.095     0.118   491.948     0.906     0.461     0.318 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.923 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.002     0.030    -0.076     0.080     0.063   618.704     0.949     0.392     0.284 
## birth_order_nonlinear2             -0.010     0.026    -0.076     0.056    -0.385   342.719     0.701     0.608     0.382 
## birth_order_nonlinear3             -0.019     0.030    -0.097     0.060    -0.609   392.033     0.543     0.547     0.357 
## birth_order_nonlinear4              0.000     0.039    -0.100     0.101     0.010   286.350     0.992     0.706     0.418 
## birth_order_nonlinear5              0.003     0.046    -0.114     0.121     0.076   580.959     0.940     0.409     0.293 
## birth_order_nonlinear5+            -0.001     0.042    -0.110     0.108    -0.029   520.013     0.977     0.443     0.310 
## poly(age, degree = 3, raw = T)1     0.096     0.011     0.067     0.125     8.500  9023.017     0.000     0.080     0.074 
## poly(age, degree = 3, raw = T)2    -0.030     0.010    -0.055    -0.004    -2.955  4296.194     0.003     0.120     0.107 
## poly(age, degree = 3, raw = T)3    -0.000     0.003    -0.009     0.008    -0.143 12873.798     0.886     0.066     0.062 
## male                                0.057     0.017     0.014     0.101     3.372  2164.217     0.001     0.177     0.151 
## sibling_count3                     -0.006     0.034    -0.095     0.083    -0.178   513.426     0.858     0.447     0.312 
## sibling_count4                     -0.002     0.037    -0.098     0.093    -0.067   355.585     0.947     0.590     0.375 
## sibling_count5                      0.033     0.040    -0.069     0.135     0.841   382.438     0.401     0.558     0.361 
## sibling_count5+                     0.004     0.036    -0.089     0.096     0.106   480.348     0.916     0.469     0.322 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.069 
## Residual~~Residual                     0.922 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.003     0.035    -0.086     0.092     0.097   537.449     0.923     0.433     0.305 
## count_birth_order2/2               -0.014     0.052    -0.148     0.120    -0.271   439.591     0.787     0.501     0.337 
## count_birth_order1/3               -0.001     0.046    -0.120     0.119    -0.015   380.794     0.988     0.559     0.362 
## count_birth_order2/3               -0.016     0.053    -0.153     0.122    -0.290   309.383     0.772     0.661     0.402 
## count_birth_order3/3               -0.041     0.053    -0.179     0.096    -0.778   508.055     0.437     0.450     0.313 
## count_birth_order1/4               -0.003     0.050    -0.130     0.125    -0.059   396.204     0.953     0.542     0.355 
## count_birth_order2/4               -0.021     0.055    -0.162     0.120    -0.388   362.479     0.698     0.581     0.371 
## count_birth_order3/4               -0.022     0.061    -0.179     0.136    -0.353   353.932     0.724     0.593     0.376 
## count_birth_order4/4                0.003     0.060    -0.152     0.158     0.054   326.745     0.957     0.632     0.391 
## count_birth_order1/5                0.012     0.058    -0.138     0.162     0.211   290.602     0.833     0.697     0.415 
## count_birth_order2/5                0.024     0.062    -0.137     0.184     0.379   448.692     0.705     0.494     0.333 
## count_birth_order3/5                0.029     0.078    -0.172     0.230     0.371   199.270     0.711     0.984     0.501 
## count_birth_order4/5                0.002     0.079    -0.202     0.206     0.031   268.714     0.975     0.745     0.431 
## count_birth_order5/5                0.080     0.071    -0.102     0.262     1.129   342.717     0.260     0.608     0.382 
## count_birth_order1/5+               0.004     0.050    -0.124     0.132     0.080   427.901     0.936     0.511     0.341 
## count_birth_order2/5+              -0.001     0.056    -0.145     0.143    -0.016   331.861     0.987     0.624     0.388 
## count_birth_order3/5+              -0.009     0.058    -0.158     0.140    -0.155   479.751     0.877     0.470     0.322 
## count_birth_order4/5+               0.014     0.066    -0.156     0.183     0.208   293.610     0.835     0.691     0.413 
## count_birth_order5/5+              -0.036     0.067    -0.209     0.138    -0.528   411.629     0.598     0.527     0.348 
## count_birth_order5+/5+              0.001     0.046    -0.118     0.119     0.018   624.179     0.986     0.389     0.282 
## poly(age, degree = 3, raw = T)1     0.096     0.011     0.067     0.125     8.540 10710.641     0.000     0.073     0.068 
## poly(age, degree = 3, raw = T)2    -0.030     0.010    -0.055    -0.004    -2.954  4283.480     0.003     0.120     0.107 
## poly(age, degree = 3, raw = T)3    -0.001     0.003    -0.009     0.008    -0.151 13543.190     0.880     0.064     0.060 
## male                                0.057     0.017     0.014     0.101     3.377  2109.704     0.001     0.180     0.153 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.069 
## Residual~~Residual                     0.922 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.164       10 2782.083    0.998    0.716 
##   2 vs 3:    0.124        4 1326.531    0.974    0.609 
##   3 vs 4:    0.005        1  552.901    0.946    0.385

Openness

# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_open)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.042     0.029    -0.118     0.034    -1.427   571.298     0.154     0.414     0.295 
## poly(age, degree = 3, raw = T)1    -0.008     0.011    -0.037     0.021    -0.701  6741.798     0.483     0.093     0.086 
## poly(age, degree = 3, raw = T)2     0.021     0.010    -0.006     0.047     2.034  2818.803     0.042     0.152     0.132 
## poly(age, degree = 3, raw = T)3    -0.010     0.003    -0.019    -0.001    -2.879  7932.934     0.004     0.085     0.079 
## male                                0.166     0.017     0.122     0.210     9.648  1588.972     0.000     0.213     0.177 
## sibling_count3                     -0.047     0.036    -0.139     0.046    -1.298   337.144     0.195     0.616     0.385 
## sibling_count4                     -0.044     0.036    -0.137     0.048    -1.231   353.407     0.219     0.593     0.376 
## sibling_count5                     -0.073     0.039    -0.172     0.027    -1.880   339.283     0.061     0.613     0.384 
## sibling_count5+                    -0.087     0.034    -0.174    -0.000    -2.587   374.182     0.010     0.567     0.365 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.079 
## Residual~~Residual                     0.911 
## ICC|mother_pidlink                     0.080 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.047     0.030    -0.124     0.029    -1.589   663.423     0.113     0.373     0.274 
## birth_order                         0.004     0.006    -0.011     0.019     0.714   435.825     0.476     0.504     0.338 
## poly(age, degree = 3, raw = T)1    -0.007     0.011    -0.037     0.022    -0.622  6557.395     0.534     0.095     0.087 
## poly(age, degree = 3, raw = T)2     0.021     0.010    -0.005     0.047     2.054  2807.489     0.040     0.152     0.133 
## poly(age, degree = 3, raw = T)3    -0.010     0.003    -0.019    -0.001    -2.904  7881.215     0.004     0.086     0.079 
## male                                0.166     0.017     0.122     0.210     9.651  1590.273     0.000     0.213     0.177 
## sibling_count3                     -0.048     0.036    -0.141     0.045    -1.341   327.731     0.181     0.630     0.390 
## sibling_count4                     -0.048     0.036    -0.142     0.046    -1.320   347.992     0.188     0.601     0.379 
## sibling_count5                     -0.078     0.039    -0.180     0.024    -1.979   336.942     0.049     0.616     0.385 
## sibling_count5+                    -0.098     0.038    -0.195    -0.000    -2.587   320.606     0.010     0.642     0.395 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.079 
## Residual~~Residual                     0.911 
## ICC|mother_pidlink                     0.080 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.045     0.032    -0.126     0.037    -1.405   410.314     0.161     0.528     0.349 
## birth_order_nonlinear2              0.008     0.027    -0.063     0.079     0.287   230.242     0.774     0.856     0.466 
## birth_order_nonlinear3              0.012     0.030    -0.065     0.090     0.410   409.864     0.682     0.528     0.349 
## birth_order_nonlinear4              0.022     0.042    -0.085     0.130     0.540   205.137     0.590     0.956     0.494 
## birth_order_nonlinear5              0.041     0.047    -0.080     0.163     0.873   424.415     0.383     0.515     0.343 
## birth_order_nonlinear5+             0.011     0.042    -0.098     0.120     0.267   536.766     0.789     0.433     0.305 
## poly(age, degree = 3, raw = T)1    -0.007     0.011    -0.037     0.022    -0.637  6296.097     0.524     0.097     0.089 
## poly(age, degree = 3, raw = T)2     0.021     0.010    -0.005     0.047     2.048  2798.978     0.041     0.152     0.133 
## poly(age, degree = 3, raw = T)3    -0.010     0.003    -0.019    -0.001    -2.894  7738.945     0.004     0.086     0.080 
## male                                0.166     0.017     0.122     0.210     9.643  1582.342     0.000     0.214     0.177 
## sibling_count3                     -0.049     0.037    -0.144     0.046    -1.333   315.964     0.183     0.650     0.398 
## sibling_count4                     -0.051     0.038    -0.147     0.046    -1.342   334.353     0.181     0.620     0.386 
## sibling_count5                     -0.084     0.041    -0.188     0.021    -2.058   333.598     0.040     0.621     0.387 
## sibling_count5+                    -0.097     0.038    -0.195     0.001    -2.540   320.935     0.012     0.641     0.395 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.079 
## Residual~~Residual                     0.911 
## ICC|mother_pidlink                     0.080 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                        -0.038     0.037    -0.132     0.057    -1.031   341.681     0.303     0.610     0.382 
## count_birth_order2/2               -0.012     0.056    -0.157     0.133    -0.208   260.553     0.836     0.766     0.438 
## count_birth_order1/3               -0.059     0.048    -0.182     0.064    -1.229   310.425     0.220     0.659     0.401 
## count_birth_order2/3               -0.052     0.057    -0.199     0.096    -0.904   217.443     0.367     0.904     0.479 
## count_birth_order3/3               -0.034     0.054    -0.174     0.105    -0.633   437.949     0.527     0.503     0.338 
## count_birth_order1/4               -0.055     0.049    -0.181     0.071    -1.130   437.504     0.259     0.503     0.338 
## count_birth_order2/4               -0.054     0.056    -0.197     0.090    -0.959   315.537     0.338     0.650     0.398 
## count_birth_order3/4               -0.044     0.061    -0.201     0.114    -0.713   349.144     0.476     0.599     0.378 
## count_birth_order4/4               -0.034     0.068    -0.210     0.141    -0.506   180.565     0.614     1.087     0.526 
## count_birth_order1/5               -0.103     0.059    -0.256     0.050    -1.740   263.730     0.083     0.758     0.435 
## count_birth_order2/5               -0.055     0.070    -0.235     0.124    -0.797   226.878     0.426     0.868     0.469 
## count_birth_order3/5               -0.092     0.072    -0.278     0.094    -1.276   288.426     0.203     0.701     0.416 
## count_birth_order4/5               -0.048     0.076    -0.244     0.148    -0.631   344.715     0.528     0.605     0.381 
## count_birth_order5/5               -0.062     0.072    -0.248     0.124    -0.854   300.963     0.394     0.676     0.407 
## count_birth_order1/5+              -0.103     0.055    -0.245     0.040    -1.853   224.414     0.065     0.877     0.472 
## count_birth_order2/5+              -0.092     0.062    -0.253     0.068    -1.479   194.990     0.141     1.005     0.506 
## count_birth_order3/5+              -0.095     0.061    -0.251     0.062    -1.561   338.764     0.119     0.614     0.384 
## count_birth_order4/5+              -0.094     0.071    -0.277     0.088    -1.330   202.777     0.185     0.967     0.497 
## count_birth_order5/5+              -0.050     0.068    -0.225     0.125    -0.741   382.053     0.459     0.558     0.361 
## count_birth_order5+/5+             -0.092     0.050    -0.220     0.035    -1.861   344.567     0.064     0.605     0.381 
## poly(age, degree = 3, raw = T)1    -0.007     0.011    -0.037     0.022    -0.637  5919.260     0.524     0.100     0.091 
## poly(age, degree = 3, raw = T)2     0.021     0.010    -0.005     0.047     2.047  2806.341     0.041     0.152     0.133 
## poly(age, degree = 3, raw = T)3    -0.010     0.003    -0.019    -0.001    -2.894  8032.382     0.004     0.085     0.078 
## male                                0.166     0.017     0.122     0.210     9.652  1606.892     0.000     0.212     0.176 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.079 
## Residual~~Residual                     0.911 
## ICC|mother_pidlink                     0.080 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.075       10 2524.085    1.000    0.780 
##   2 vs 3:    0.104        4 1146.245    0.981    0.688 
##   3 vs 4:    0.512        1  383.335    0.475    0.504

Riskpreference

Risk A

# Specify your outcome
data_used = data_used %>% mutate(outcome = riskA)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.037     0.029    -0.038     0.112     1.280   586.117     0.201     0.407     0.292 
## poly(age, degree = 3, raw = T)1    -0.012     0.012    -0.044     0.020    -0.947   870.625     0.344     0.311     0.239 
## poly(age, degree = 3, raw = T)2     0.062     0.011     0.035     0.090     5.857  1019.703     0.000     0.281     0.221 
## poly(age, degree = 3, raw = T)3    -0.015     0.004    -0.025    -0.006    -4.029   747.168     0.000     0.344     0.258 
## male                               -0.234     0.018    -0.280    -0.188   -13.192   934.531     0.000     0.297     0.231 
## sibling_count3                     -0.012     0.036    -0.104     0.080    -0.322   325.329     0.747     0.634     0.392 
## sibling_count4                      0.014     0.037    -0.081     0.110     0.384   276.261     0.701     0.728     0.425 
## sibling_count5                      0.040     0.038    -0.058     0.138     1.054   347.585     0.293     0.601     0.379 
## sibling_count5+                     0.065     0.033    -0.020     0.150     1.971   402.055     0.049     0.536     0.352 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.915 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.039     0.030    -0.038     0.116     1.312   638.823     0.190     0.383     0.279 
## birth_order                        -0.001     0.006    -0.018     0.015    -0.214   237.632     0.830     0.832     0.459 
## poly(age, degree = 3, raw = T)1    -0.012     0.012    -0.044     0.020    -0.965   858.486     0.335     0.314     0.241 
## poly(age, degree = 3, raw = T)2     0.062     0.011     0.035     0.090     5.862  1058.560     0.000     0.274     0.217 
## poly(age, degree = 3, raw = T)3    -0.015     0.004    -0.025    -0.006    -4.026   763.889     0.000     0.339     0.255 
## male                               -0.234     0.018    -0.280    -0.188   -13.198   941.001     0.000     0.296     0.230 
## sibling_count3                     -0.011     0.036    -0.103     0.081    -0.304   323.138     0.761     0.638     0.393 
## sibling_count4                      0.015     0.038    -0.082     0.113     0.410   265.149     0.682     0.754     0.434 
## sibling_count5                      0.042     0.039    -0.059     0.143     1.070   329.142     0.286     0.628     0.390 
## sibling_count5+                     0.069     0.038    -0.029     0.166     1.803   290.727     0.072     0.696     0.415 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.915 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.038     0.030    -0.039     0.114     1.258   687.022     0.209     0.364     0.269 
## birth_order_nonlinear2             -0.001     0.027    -0.071     0.069    -0.031   245.549     0.975     0.807     0.451 
## birth_order_nonlinear3              0.003     0.030    -0.073     0.079     0.100   466.860     0.920     0.479     0.327 
## birth_order_nonlinear4             -0.014     0.038    -0.111     0.084    -0.360   324.653     0.719     0.635     0.392 
## birth_order_nonlinear5              0.003     0.048    -0.121     0.127     0.068   356.358     0.946     0.589     0.374 
## birth_order_nonlinear5+             0.001     0.049    -0.124     0.126     0.027   217.053     0.978     0.905     0.480 
## poly(age, degree = 3, raw = T)1    -0.012     0.012    -0.044     0.020    -0.944   829.852     0.346     0.321     0.245 
## poly(age, degree = 3, raw = T)2     0.062     0.011     0.035     0.090     5.872  1068.053     0.000     0.273     0.216 
## poly(age, degree = 3, raw = T)3    -0.015     0.004    -0.025    -0.006    -4.029   759.369     0.000     0.341     0.256 
## male                               -0.234     0.018    -0.280    -0.188   -13.194   938.696     0.000     0.296     0.230 
## sibling_count3                     -0.012     0.036    -0.106     0.081    -0.338   334.702     0.735     0.620     0.386 
## sibling_count4                      0.016     0.038    -0.082     0.115     0.430   290.598     0.668     0.697     0.415 
## sibling_count5                      0.041     0.040    -0.061     0.143     1.031   370.887     0.303     0.571     0.367 
## sibling_count5+                     0.065     0.038    -0.033     0.164     1.705   292.105     0.089     0.694     0.414 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.915 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.043     0.034    -0.045     0.131     1.261   555.985     0.208     0.422     0.299 
## count_birth_order2/2               -0.016     0.050    -0.144     0.111    -0.329   664.762     0.742     0.373     0.274 
## count_birth_order1/3               -0.047     0.048    -0.169     0.076    -0.985   310.125     0.325     0.660     0.401 
## count_birth_order2/3               -0.011     0.051    -0.142     0.121    -0.206   405.882     0.837     0.532     0.351 
## count_birth_order3/3                0.030     0.054    -0.110     0.170     0.552   408.528     0.581     0.530     0.350 
## count_birth_order1/4                0.029     0.053    -0.109     0.166     0.536   244.398     0.592     0.811     0.452 
## count_birth_order2/4                0.013     0.056    -0.132     0.158     0.226   289.322     0.821     0.699     0.416 
## count_birth_order3/4               -0.034     0.063    -0.196     0.127    -0.547   291.873     0.585     0.694     0.414 
## count_birth_order4/4                0.008     0.064    -0.156     0.172     0.121   233.814     0.904     0.844     0.462 
## count_birth_order1/5                0.042     0.058    -0.108     0.192     0.722   281.932     0.471     0.715     0.421 
## count_birth_order2/5                0.032     0.064    -0.134     0.198     0.495   334.314     0.621     0.620     0.387 
## count_birth_order3/5                0.032     0.068    -0.144     0.208     0.469   393.807     0.639     0.545     0.356 
## count_birth_order4/5                0.054     0.075    -0.138     0.247     0.724   373.146     0.469     0.568     0.366 
## count_birth_order5/5                0.010     0.072    -0.177     0.196     0.135   288.145     0.893     0.702     0.416 
## count_birth_order1/5+               0.068     0.053    -0.068     0.205     1.288   267.554     0.199     0.748     0.432 
## count_birth_order2/5+               0.059     0.058    -0.089     0.208     1.034   276.601     0.302     0.727     0.425 
## count_birth_order3/5+               0.058     0.059    -0.093     0.209     0.989   411.611     0.323     0.527     0.348 
## count_birth_order4/5+               0.013     0.062    -0.148     0.174     0.203   397.303     0.840     0.541     0.354 
## count_birth_order5/5+               0.091     0.067    -0.082     0.263     1.349   405.166     0.178     0.533     0.351 
## count_birth_order5+/5+              0.061     0.048    -0.062     0.184     1.281   428.847     0.201     0.511     0.341 
## poly(age, degree = 3, raw = T)1    -0.012     0.012    -0.044     0.020    -0.968   825.255     0.333     0.322     0.245 
## poly(age, degree = 3, raw = T)2     0.062     0.011     0.035     0.090     5.856  1086.421     0.000     0.270     0.214 
## poly(age, degree = 3, raw = T)3    -0.015     0.004    -0.025    -0.005    -4.016   762.060     0.000     0.340     0.256 
## male                               -0.234     0.018    -0.280    -0.188   -13.182   916.199     0.000     0.301     0.233 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.068 
## Residual~~Residual                     0.914 
## ICC|mother_pidlink                     0.069 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.400       10 2818.267    0.947    0.708 
##   2 vs 3:    0.034        4 1295.617    0.998    0.621 
##   3 vs 4:    0.045        1  212.261    0.832    0.833

Risk B

# Specify your outcome
data_used = data_used %>% mutate(outcome = riskB)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.119     0.028     0.047     0.190     4.282  1015.825     0.000     0.281     0.221 
## poly(age, degree = 3, raw = T)1    -0.005     0.012    -0.037     0.026    -0.417   932.594     0.677     0.297     0.231 
## poly(age, degree = 3, raw = T)2     0.009     0.011    -0.018     0.036     0.825  1313.703     0.410     0.239     0.194 
## poly(age, degree = 3, raw = T)3    -0.004     0.004    -0.014     0.006    -1.096   584.631     0.274     0.407     0.292 
## male                               -0.192     0.017    -0.236    -0.148   -11.258  2078.109     0.000     0.181     0.154 
## sibling_count3                     -0.031     0.034    -0.120     0.058    -0.902   403.692     0.368     0.535     0.352 
## sibling_count4                     -0.029     0.035    -0.119     0.061    -0.834   397.974     0.405     0.541     0.354 
## sibling_count5                     -0.037     0.037    -0.133     0.060    -0.979   372.450     0.328     0.569     0.366 
## sibling_count5+                    -0.040     0.031    -0.120     0.040    -1.284   622.301     0.199     0.390     0.283 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.049 
## Residual~~Residual                     0.941 
## ICC|mother_pidlink                     0.050 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.114     0.029     0.041     0.188     3.991  1008.539     0.000     0.283     0.222 
## birth_order                         0.003     0.006    -0.012     0.018     0.559   418.868     0.577     0.520     0.345 
## poly(age, degree = 3, raw = T)1    -0.004     0.012    -0.036     0.027    -0.360   853.510     0.719     0.315     0.241 
## poly(age, degree = 3, raw = T)2     0.009     0.011    -0.018     0.036     0.842  1306.303     0.400     0.240     0.195 
## poly(age, degree = 3, raw = T)3    -0.004     0.004    -0.014     0.006    -1.113   574.883     0.266     0.412     0.294 
## male                               -0.192     0.017    -0.236    -0.148   -11.258  2085.829     0.000     0.181     0.154 
## sibling_count3                     -0.033     0.034    -0.121     0.056    -0.944   409.661     0.346     0.529     0.349 
## sibling_count4                     -0.032     0.035    -0.123     0.059    -0.904   378.128     0.367     0.562     0.363 
## sibling_count5                     -0.041     0.038    -0.140     0.058    -1.071   370.687     0.285     0.571     0.367 
## sibling_count5+                    -0.048     0.035    -0.138     0.042    -1.379   500.018     0.169     0.456     0.316 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.049 
## Residual~~Residual                     0.941 
## ICC|mother_pidlink                     0.050 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.108     0.029     0.035     0.182     3.789  1148.860     0.000     0.260     0.208 
## birth_order_nonlinear2              0.029     0.028    -0.042     0.100     1.047   231.362     0.296     0.853     0.465 
## birth_order_nonlinear3              0.027     0.031    -0.053     0.107     0.854   345.700     0.394     0.604     0.380 
## birth_order_nonlinear4              0.021     0.039    -0.079     0.122     0.551   286.726     0.582     0.705     0.417 
## birth_order_nonlinear5              0.028     0.052    -0.105     0.161     0.540   248.636     0.589     0.798     0.448 
## birth_order_nonlinear5+             0.032     0.043    -0.078     0.143     0.753   453.059     0.452     0.490     0.332 
## poly(age, degree = 3, raw = T)1    -0.004     0.012    -0.036     0.028    -0.354   855.516     0.724     0.315     0.241 
## poly(age, degree = 3, raw = T)2     0.009     0.011    -0.018     0.036     0.847  1309.595     0.397     0.240     0.195 
## poly(age, degree = 3, raw = T)3    -0.004     0.004    -0.014     0.006    -1.116   573.538     0.265     0.413     0.295 
## male                               -0.192     0.017    -0.236    -0.148   -11.233  1992.699     0.000     0.186     0.158 
## sibling_count3                     -0.036     0.036    -0.128     0.056    -1.009   356.571     0.314     0.589     0.374 
## sibling_count4                     -0.036     0.037    -0.130     0.058    -0.979   370.660     0.328     0.571     0.367 
## sibling_count5                     -0.045     0.040    -0.149     0.059    -1.113   318.505     0.267     0.645     0.396 
## sibling_count5+                    -0.052     0.035    -0.143     0.039    -1.465   491.005     0.144     0.462     0.319 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.049 
## Residual~~Residual                     0.941 
## ICC|mother_pidlink                     0.050 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.121     0.034     0.034     0.209     3.569   615.265     0.000     0.393     0.285 
## count_birth_order2/2               -0.006     0.056    -0.150     0.138    -0.114   277.398     0.909     0.725     0.424 
## count_birth_order1/3               -0.073     0.046    -0.191     0.045    -1.586   403.865     0.113     0.534     0.352 
## count_birth_order2/3               -0.000     0.049    -0.126     0.126    -0.001   609.798     1.000     0.396     0.286 
## count_birth_order3/3               -0.001     0.055    -0.143     0.141    -0.021   380.084     0.983     0.560     0.362 
## count_birth_order1/4               -0.036     0.052    -0.170     0.098    -0.696   283.231     0.487     0.712     0.420 
## count_birth_order2/4               -0.020     0.054    -0.158     0.118    -0.366   407.871     0.714     0.530     0.350 
## count_birth_order3/4               -0.041     0.058    -0.190     0.108    -0.711   532.855     0.477     0.435     0.306 
## count_birth_order4/4               -0.030     0.062    -0.189     0.129    -0.483   277.176     0.630     0.725     0.425 
## count_birth_order1/5               -0.045     0.059    -0.197     0.107    -0.756   263.437     0.450     0.758     0.436 
## count_birth_order2/5               -0.044     0.068    -0.218     0.131    -0.647   255.301     0.518     0.780     0.442 
## count_birth_order3/5               -0.011     0.071    -0.194     0.172    -0.151   312.567     0.880     0.655     0.400 
## count_birth_order4/5               -0.045     0.078    -0.245     0.155    -0.577   297.811     0.564     0.682     0.410 
## count_birth_order5/5               -0.047     0.075    -0.240     0.146    -0.626   244.211     0.532     0.811     0.452 
## count_birth_order1/5+              -0.071     0.051    -0.203     0.061    -1.385   323.558     0.167     0.637     0.393 
## count_birth_order2/5+              -0.025     0.055    -0.168     0.117    -0.455   352.984     0.649     0.594     0.376 
## count_birth_order3/5+              -0.058     0.064    -0.222     0.106    -0.908   251.199     0.365     0.791     0.446 
## count_birth_order4/5+              -0.034     0.063    -0.195     0.127    -0.543   401.682     0.587     0.537     0.352 
## count_birth_order5/5+              -0.020     0.065    -0.187     0.146    -0.314   564.729     0.753     0.418     0.297 
## count_birth_order5+/5+             -0.032     0.046    -0.150     0.087    -0.692   597.617     0.489     0.401     0.289 
## poly(age, degree = 3, raw = T)1    -0.005     0.012    -0.037     0.027    -0.367   826.216     0.714     0.322     0.245 
## poly(age, degree = 3, raw = T)2     0.009     0.011    -0.019     0.036     0.821  1261.785     0.412     0.245     0.198 
## poly(age, degree = 3, raw = T)3    -0.004     0.004    -0.014     0.006    -1.093   558.490     0.275     0.421     0.299 
## male                               -0.192     0.017    -0.236    -0.148   -11.231  1974.525     0.000     0.187     0.158 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.049 
## Residual~~Residual                     0.940 
## ICC|mother_pidlink                     0.050 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.222       10 2816.721    0.994    0.708 
##   2 vs 3:    0.327        4 1067.811    0.860    0.731 
##   3 vs 4:    0.316        1  371.534    0.574    0.516

Educational Attainment

Years of Education - z-standardized

# Specify your outcome
data_used = data_used %>% mutate(outcome = years_of_education_z)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

Parental full sibling order

Basic Model
# with.mitml.list <- function (data, expr, ...) 
# {
#     expr <- substitute(expr)
#     parent <- parent.frame()
#     out <- parallel::mclapply(data, function(x) eval(expr, x, parent))
#     class(out) <- c("mitml.result", "list")
#     out
# }
Model Summary
data_used = data_used %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

data_used_plots = data_used[[1]]

model_genes_m1 <- with(data_used, lmer(outcome ~ poly(age, degree = 3, raw = T)+ male + sibling_count + (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m1, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m1, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.308     0.029     0.233     0.382    10.634  1044.951     0.000     0.276     0.218 
## poly(age, degree = 3, raw = T)1    -0.072     0.011    -0.101    -0.044    -6.605  4777.536     0.000     0.113     0.102 
## poly(age, degree = 3, raw = T)2    -0.222     0.009    -0.245    -0.199   -25.386  6039.764     0.000     0.099     0.090 
## poly(age, degree = 3, raw = T)3     0.044     0.003     0.036     0.052    14.275  9771.468     0.000     0.076     0.071 
## male                               -0.025     0.014    -0.060     0.011    -1.778  2002.401     0.076     0.185     0.157 
## sibling_count3                      0.024     0.036    -0.068     0.117     0.675   830.114     0.500     0.321     0.245 
## sibling_count4                     -0.070     0.039    -0.169     0.030    -1.806   533.800     0.071     0.435     0.306 
## sibling_count5                     -0.165     0.046    -0.282    -0.047    -3.617   288.304     0.000     0.701     0.416 
## sibling_count5+                    -0.251     0.038    -0.348    -0.154    -6.649   451.012     0.000     0.492     0.333 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.487 
## Residual~~Residual                     0.449 
## ICC|mother_pidlink                     0.520 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Linear
Model Summary
model_genes_m2 <- with(data_used, lmer(outcome ~ birth_order + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m2, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m2, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.312     0.030     0.236     0.388    10.548   942.442     0.000     0.295     0.230 
## birth_order                        -0.004     0.005    -0.017     0.009    -0.790   320.857     0.430     0.641     0.395 
## poly(age, degree = 3, raw = T)1    -0.074     0.011    -0.103    -0.045    -6.618  3652.547     0.000     0.131     0.116 
## poly(age, degree = 3, raw = T)2    -0.222     0.009    -0.244    -0.199   -25.388  6073.444     0.000     0.099     0.090 
## poly(age, degree = 3, raw = T)3     0.044     0.003     0.036     0.052    14.294  9534.136     0.000     0.077     0.072 
## male                               -0.025     0.014    -0.060     0.011    -1.781  2018.682     0.075     0.185     0.157 
## sibling_count3                      0.026     0.036    -0.067     0.120     0.728   807.536     0.467     0.327     0.248 
## sibling_count4                     -0.065     0.039    -0.165     0.034    -1.687   551.357     0.092     0.425     0.301 
## sibling_count5                     -0.159     0.046    -0.276    -0.041    -3.477   309.111     0.001     0.662     0.402 
## sibling_count5+                    -0.240     0.041    -0.345    -0.135    -5.906   389.106     0.000     0.550     0.358 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.488 
## Residual~~Residual                     0.449 
## ICC|mother_pidlink                     0.521 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Birth Order Factor
Model Summary
model_genes_m3 <- with(data_used, lmer(outcome ~ birth_order_nonlinear + poly(age, degree = 3, raw = T)+ male + sibling_count +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m3, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m3, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.321     0.029     0.247     0.395    11.124  1439.564     0.000     0.226     0.186 
## birth_order_nonlinear2             -0.044     0.022    -0.099     0.012    -2.016   245.671     0.045     0.807     0.451 
## birth_order_nonlinear3             -0.013     0.027    -0.082     0.056    -0.480   224.707     0.632     0.876     0.472 
## birth_order_nonlinear4             -0.002     0.031    -0.083     0.078    -0.072   277.885     0.942     0.724     0.424 
## birth_order_nonlinear5              0.005     0.040    -0.097     0.108     0.133   293.327     0.895     0.691     0.413 
## birth_order_nonlinear5+            -0.043     0.037    -0.140     0.054    -1.148   321.208     0.252     0.641     0.394 
## poly(age, degree = 3, raw = T)1    -0.073     0.011    -0.102    -0.044    -6.545  3660.856     0.000     0.131     0.116 
## poly(age, degree = 3, raw = T)2    -0.221     0.009    -0.244    -0.199   -25.328  6349.465     0.000     0.096     0.088 
## poly(age, degree = 3, raw = T)3     0.044     0.003     0.036     0.052    14.250 10282.804     0.000     0.074     0.069 
## male                               -0.025     0.014    -0.060     0.011    -1.786  2070.051     0.074     0.182     0.155 
## sibling_count3                      0.026     0.036    -0.068     0.120     0.704   804.804     0.482     0.328     0.249 
## sibling_count4                     -0.070     0.039    -0.171     0.032    -1.769   537.605     0.077     0.432     0.304 
## sibling_count5                     -0.168     0.046    -0.287    -0.048    -3.610   301.304     0.000     0.676     0.407 
## sibling_count5+                    -0.244     0.041    -0.349    -0.139    -5.995   392.543     0.000     0.546     0.357 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.488 
## Residual~~Residual                     0.448 
## ICC|mother_pidlink                     0.521 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Add Interaction
Model Summary
model_genes_m4 <- with(data_used, lmer(outcome ~ count_birth_order + poly(age, degree = 3, raw = T)+ male  +
                                         (1 | mother_pidlink), REML = FALSE))
x = mitml::testEstimates(model_genes_m4, var.comp = T)

y = as_tibble(x$estimates, rownames = "id")

y = y %>%
  mutate(CI_low = Estimate - 2.576 * Std.Error,
         CI_high = Estimate + 2.576 * Std.Error) %>%
  select(CI_low, CI_high)
CI_low = y$CI_low
CI_high = y$CI_high


x$estimates = cbind(x$estimates[,1:2], CI_low, CI_high, x$estimates[,3:7])
x
## 
## Call:
## 
## mitml::testEstimates(model = model_genes_m4, var.comp = T)
## 
## Final parameter estimates and inferences obtained from 50 imputed data sets.
## 
##                                  Estimate Std.Error    CI_low   CI_high   t.value        df   P(>|t|)       RIV       FMI 
## (Intercept)                         0.327     0.031     0.249     0.406    10.709  1685.533     0.000     0.206     0.171 
## count_birth_order2/2               -0.067     0.040    -0.170     0.035    -1.699   771.028     0.090     0.337     0.254 
## count_birth_order1/3                0.041     0.043    -0.071     0.153     0.943   564.088     0.346     0.418     0.297 
## count_birth_order2/3               -0.040     0.046    -0.158     0.079    -0.869   717.048     0.385     0.354     0.263 
## count_birth_order3/3               -0.023     0.049    -0.149     0.103    -0.476   626.651     0.634     0.388     0.282 
## count_birth_order1/4               -0.084     0.046    -0.203     0.036    -1.799   573.781     0.073     0.413     0.295 
## count_birth_order2/4               -0.118     0.049    -0.245     0.008    -2.417   582.054     0.016     0.409     0.293 
## count_birth_order3/4               -0.068     0.053    -0.204     0.068    -1.291   608.932     0.197     0.396     0.286 
## count_birth_order4/4               -0.091     0.051    -0.222     0.041    -1.782   687.214     0.075     0.364     0.269 
## count_birth_order1/5               -0.188     0.060    -0.343    -0.033    -3.120   219.303     0.002     0.896     0.477 
## count_birth_order2/5               -0.205     0.063    -0.368    -0.043    -3.252   265.077     0.001     0.754     0.434 
## count_birth_order3/5               -0.172     0.063    -0.335    -0.010    -2.727   371.330     0.007     0.571     0.367 
## count_birth_order4/5               -0.174     0.068    -0.349     0.001    -2.560   347.088     0.011     0.602     0.379 
## count_birth_order5/5               -0.180     0.066    -0.349    -0.010    -2.728   298.500     0.007     0.681     0.409 
## count_birth_order1/5+              -0.278     0.049    -0.405    -0.151    -5.633   356.470     0.000     0.589     0.374 
## count_birth_order2/5+              -0.275     0.052    -0.409    -0.142    -5.316   369.303     0.000     0.573     0.368 
## count_birth_order3/5+              -0.263     0.060    -0.418    -0.108    -4.366   217.895     0.000     0.902     0.479 
## count_birth_order4/5+              -0.240     0.057    -0.387    -0.093    -4.216   370.779     0.000     0.571     0.367 
## count_birth_order5/5+              -0.235     0.058    -0.385    -0.085    -4.045   483.106     0.000     0.467     0.321 
## count_birth_order5+/5+             -0.293     0.046    -0.412    -0.174    -6.361   513.564     0.000     0.447     0.312 
## poly(age, degree = 3, raw = T)1    -0.074     0.011    -0.103    -0.045    -6.572  3443.492     0.000     0.135     0.120 
## poly(age, degree = 3, raw = T)2    -0.221     0.009    -0.243    -0.198   -25.135  5733.846     0.000     0.102     0.093 
## poly(age, degree = 3, raw = T)3     0.044     0.003     0.036     0.052    14.170  9200.721     0.000     0.079     0.073 
## male                               -0.024     0.014    -0.060     0.011    -1.764  2132.213     0.078     0.179     0.152 
## 
##                                     Estimate 
## Intercept~~Intercept|mother_pidlink    0.488 
## Residual~~Residual                     0.448 
## ICC|mother_pidlink                     0.522 
## 
## Unadjusted hypothesis test as appropriate in larger samples.
x$estimates %>% 
  as.data.frame() %>% 
  tibble::rownames_to_column("term") %>% 
  filter(term != "(Intercept)") %>% 
  mutate(term = str_replace_all(term, "poly\\(", "")) %>% 
  mutate(term = str_replace_all(term, ", degree = 3, raw = T\\)", "")) %>% 
ggplot(aes(x= term, y = Estimate, ymin = CI_low, ymax = CI_high)) +
  geom_hline(yintercept = 0, linetype = "dashed", alpha = 0.5) +
  geom_pointrange() +
  coord_flip() +
  theme_minimal()

Model Comparison
anova(model_genes_m1, model_genes_m2, model_genes_m3, model_genes_m4)
## 
## Call:
## 
## anova.mitml.result(object = model_genes_m1, model_genes_m2, model_genes_m3, 
##     model_genes_m4)
## 
## Model comparison calculated from 50 imputed data sets.
## Combination method: D3 
## 
## Model 1: outcome~count_birth_order+poly(age,degree=3,raw=T)+male+(1|mother_pidlink)
## Model 2: outcome~birth_order_nonlinear+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 3: outcome~birth_order+poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## Model 4: outcome~poly(age,degree=3,raw=T)+male+sibling_count+(1|mother_pidlink)
## 
##            F.value      df1      df2    P(>F)      RIV 
##   1 vs 2:    0.363       10 2740.231    0.962    0.725 
##   2 vs 3:    1.240        4 1006.440    0.292    0.770 
##   3 vs 4:    0.625        1  283.201    0.430    0.643
---
title: "4. Analyses Imputed Data"
author: "Laura Botzet & Ruben Arslan"
output: html_document
editor_options: 
  chunk_output_type: console
---

# <span style="color:#FFD92F">Birth Order Effects Imputed Data</span> {.tabset}

## Helper

```{r helper}
source("0_helpers.R")
opts_chunk$set(warning = FALSE, error = T)
detach("package:lmerTest", unload = TRUE)
```


## Functions

```{r}
options(mc.cores=4)
n_imputations.mitml = function(imps) {
  imps$iter$m
}
n_imputations.mids = function(imps) {
  imps$m
}
n_imputations.amelia = function(imps) {
  length(imps$imputations)
}
n_imputations = function(imps) { UseMethod("n_imputations") }

complete.mitml = mitml::mitmlComplete
complete.mids = mice::complete
complete = function(...) { UseMethod("complete") }

library(mice)
library(miceadds)
library(mitml)
```


## Load data

```{r Load Data}
birthorder_missing = readRDS("data/alldata_birthorder_missing.rds")
birthorder = readRDS("data/alldata_birthorder_i_ml5.rds")
```

## Data preparations

```{r data preparations}
birthorder <- mids2mitml.list(birthorder)

## Calculate g_factors (for now with rowMeans: better to run factor analysis here as well?)
birthorder <- within(birthorder, {
  g_factor_2015_old <- rowMeans(scale(cbind(raven_2015_old, math_2015_old, count_backwards,  words_delayed, adaptive_numbering)))
})

birthorder <- within(birthorder, {
  g_factor_2015_young <- rowMeans(scale(cbind(raven_2015_young, math_2015_young)))
})

birthorder <- within(birthorder, {
  g_factor_2007_old <- rowMeans(scale(cbind(raven_2007_old, math_2007_old)))
})

birthorder <- within(birthorder, {
  g_factor_2007_young <- rowMeans(scale(cbind(raven_2007_young, math_2007_young)))
})


birthorder = birthorder %>% tbl_df.mitml.list

### Birthorder and Sibling Count
birthorder_data = birthorder[[1]]

birthorder = birthorder %>%
  mutate(birthorder_genes = ifelse(birthorder_genes < 1, 1, birthorder_genes),
         birthorder_naive = ifelse(birthorder_naive < 1, 1, birthorder_naive),
         birthorder_genes = round(birthorder_genes),
         birthorder_naive = round(birthorder_naive),
         sibling_count_genes = ifelse(sibling_count_genes < 2, 2, sibling_count_genes),
         sibling_count_naive = ifelse(sibling_count_naive < 2, 2, sibling_count_naive),
         sibling_count_genes = round(sibling_count_genes),
         sibling_count_naive = round(sibling_count_naive)
         ) %>% 
  group_by(mother_pidlink) %>% 
  # make sure sibling count is consistent with birth order (for which imputation model seems to work better)
  mutate(sibling_count_genes = max(birthorder_genes, sibling_count_genes)) %>% 
  ungroup()


birthorder = birthorder %>% 
  mutate(
# birthorder as factors with levels of 1, 2, 3, 4, 5, 5+
    birthorder_naive_factor = as.character(birthorder_naive),
    birthorder_naive_factor = ifelse(birthorder_naive > 5, "5+",
                                            birthorder_naive_factor),
    birthorder_naive_factor = factor(birthorder_naive_factor, 
                                            levels = c("1","2","3","4","5","5+")),
    sibling_count_naive_factor = as.character(sibling_count_naive),
    sibling_count_naive_factor = ifelse(sibling_count_naive > 5, "5+",
                                               sibling_count_naive_factor),
    sibling_count_naive_factor = factor(sibling_count_naive_factor, 
                                               levels = c("2","3","4","5","5+")),
    birthorder_genes_factor = as.character(birthorder_genes),
    birthorder_genes_factor = ifelse(birthorder_genes >5 , "5+", birthorder_genes_factor),
    birthorder_genes_factor = factor(birthorder_genes_factor, 
                                     levels = c("1","2","3","4","5","5+")),
    sibling_count_genes_factor = as.character(sibling_count_genes),
    sibling_count_genes_factor = ifelse(sibling_count_genes >5 , "5+",
                                        sibling_count_genes_factor),
    sibling_count_genes_factor = factor(sibling_count_genes_factor, 
                                        levels = c("2","3","4","5","5+")),
    # interaction birthorder * siblingcout for each birthorder
    count_birthorder_naive =
      factor(str_replace(as.character(interaction(birthorder_naive_factor,                                                              sibling_count_naive_factor)),
                        "\\.", "/"),
                                           levels =   c("1/2","2/2", "1/3",  "2/3",
                                                        "3/3", "1/4", "2/4", "3/4", "4/4",
                                                        "1/5", "2/5", "3/5", "4/5", "5/5",
                                                        "1/5+", "2/5+", "3/5+", "4/5+",
                                                        "5/5+", "5+/5+")),
    count_birthorder_genes =
      factor(str_replace(as.character(interaction(birthorder_genes_factor,                                                              sibling_count_genes_factor)), "\\.", "/"),
                                           levels =   c("1/2","2/2", "1/3",  "2/3",
                                                        "3/3", "1/4", "2/4", "3/4", "4/4",
                                                        "1/5", "2/5", "3/5", "4/5", "5/5",
                                                        "1/5+", "2/5+", "3/5+", "4/5+",
                                                        "5/5+", "5+/5+")))



### Variables
birthorder = birthorder %>%
  mutate(
    g_factor_2015_old = (g_factor_2015_old - mean(g_factor_2015_old, na.rm=T)) / sd(g_factor_2015_old, na.rm=T),
    g_factor_2015_young = (g_factor_2015_young - mean(g_factor_2015_young, na.rm=T)) / sd(g_factor_2015_young, na.rm=T),
    g_factor_2007_old = (g_factor_2007_old - mean(g_factor_2007_old, na.rm=T)) / sd(g_factor_2007_old, na.rm=T),
g_factor_2007_young = (g_factor_2007_young - mean(g_factor_2007_young, na.rm=T)) / sd(g_factor_2007_young, na.rm=T),
    raven_2015_old = (raven_2015_old - mean(raven_2015_old, na.rm=T)) / sd(raven_2015_old),
    math_2015_old = (math_2015_old - mean(math_2015_old, na.rm=T)) / sd(math_2015_old, na.rm=T),
    raven_2015_young = (raven_2015_young - mean(raven_2015_young, na.rm=T)) / sd(raven_2015_young),
    math_2015_young = (math_2015_young - mean(math_2015_young, na.rm=T)) /
      sd(math_2015_young, na.rm=T),
    raven_2007_old = (raven_2007_old - mean(raven_2007_old, na.rm=T)) / sd(raven_2007_old),
math_2007_old = (math_2007_old - mean(math_2007_old, na.rm=T)) / sd(math_2007_old, na.rm=T),
raven_2007_young = (raven_2007_young - mean(raven_2007_young, na.rm=T)) / sd(raven_2007_young),
math_2007_young = (math_2007_young - mean(math_2007_young, na.rm=T)) /
  sd(math_2007_young, na.rm=T),
    count_backwards = (count_backwards - mean(count_backwards, na.rm=T)) /
      sd(count_backwards, na.rm=T),
    words_delayed = (words_delayed - mean(words_delayed, na.rm=T)) /
      sd(words_delayed, na.rm=T),
    adaptive_numbering = (adaptive_numbering - mean(adaptive_numbering, na.rm=T)) /
      sd(adaptive_numbering, na.rm=T),
    big5_ext = (big5_ext - mean(big5_ext, na.rm=T)) / sd(big5_ext, na.rm=T),
    big5_con = (big5_con - mean(big5_con, na.rm=T)) / sd(big5_con, na.rm=T),
    big5_agree = (big5_agree - mean(big5_agree, na.rm=T)) / sd(big5_agree, na.rm=T),
    big5_open = (big5_open - mean(big5_open, na.rm=T)) / sd(big5_open, na.rm=T),
    big5_neu = (big5_neu - mean(big5_neu, na.rm=T)) / sd(big5_neu, na.rm=T),
    riskA = (riskA - mean(riskA, na.rm=T)) / sd(riskA, na.rm=T),
    riskB = (riskB - mean(riskB, na.rm=T)) / sd(riskB, na.rm=T),
    years_of_education_z = (years_of_education - mean(years_of_education, na.rm=T)) /
      sd(years_of_education, na.rm=T)
)

        
data_used <- birthorder %>%
  mutate(sibling_count = sibling_count_genes_factor,
         birth_order_nonlinear = birthorder_genes_factor,
         birth_order = birthorder_genes,
         count_birth_order = count_birthorder_genes)

```

## Intelligence {.active .tabset}
### g-factor 2015 old {.tabset}

```{r gfold15o}
# Specify your outcome
data_used = data_used %>% mutate(outcome = g_factor_2015_old)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```

### g-factor 2015 young {.tabset}

```{r gf15y}
# Specify your outcome
data_used = data_used %>% mutate(outcome = g_factor_2015_young)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```

## Personality {.tabset}

### Extraversion {.tabset}

```{r extra}
# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_ext)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```


### Neuroticism {.tabset}

```{r neuro}
# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_neu)
compare_birthorder_imputed(data_used = data_used)

```


### Conscientiousness {.tabset}

```{r consc}
# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_con)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```


### Agreeableness {.tabset}

```{r agree}
# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_agree)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```


### Openness {.tabset}

```{r open}
# Specify your outcome
data_used = data_used %>% mutate(outcome = big5_open)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```

## Riskpreference {.tabset}

### Risk A {.tabset}

```{r riska}
# Specify your outcome
data_used = data_used %>% mutate(outcome = riskA)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```

### Risk B {.tabset}

```{r riskb}
# Specify your outcome
data_used = data_used %>% mutate(outcome = riskB)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)
```

## Educational Attainment {.tabset}
### Years of Education - z-standardized{.tabset}

```{r edu}
# Specify your outcome
data_used = data_used %>% mutate(outcome = years_of_education_z)
data_used_plots <- data_used[[1]]

compare_birthorder_imputed(data_used = data_used)

```


