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process_outputs_supplement.R
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source('./src/dependencies.R')
options(scipen=999)
###################################################################
load("./output/continuous_sim_5000_200_2,8,32,64,128.RData");load("./output/bias_continuous.RData");load("./output/cs_bias_continuous.RData")
###################################################################
# Web Table 1
data.frame(
Estimator = c('Ensemble k=21', '81', '321', '641', '1,281',
'Ensemble k=21', '81', '321', '641', '1,281',
'Boosted trees k=21', '81', '321', '641', '1,281',
'Boosted trees k=21', '81', '321', '641', '1,281',
'Random forest k=21', '81', '321', '641', '1,281',
'Random forest k=21', '81', '321', '641', '1,281',
'KNN k=21', '81', '321', '641', '1,281',
'KNN k=21', '81', '321', '641', '1,281',
'LASSO k=21', '81', '321', '641', '1,281',
'LASSO k=21', '81', '321', '641', '1,281',
'GLM k=21', '81', '321', '641', '1,281',
'GLM k=21', '81', '321', '641', '1,281'),
IF22oraclea1 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle10']))
),
IF22oraclea1_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'oracle10'])),')')
),
IF22tra1 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr10']))
),
IF22tra1_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'tr10'])),')')
),
IF22nlshrinka1 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink10']))
),
IF22nlshrinka1_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'nlshrink10'])),')')
),
IF22esta1 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est10']))
),
IF22esta1_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff1',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff1',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff1',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff1',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff1',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff1',][[x]][2,'est10'])),')')
)
) %>% knitr::kable(format='latex', booktabs = T, linesep = "")
# Web Table 2
data.frame(
Estimator = c('Ensemble k=21', '81', '321', '641', '1,281',
'Ensemble k=21', '81', '321', '641', '1,281',
'Boosted trees k=21', '81', '321', '641', '1,281',
'Boosted trees k=21', '81', '321', '641', '1,281',
'Random forest k=21', '81', '321', '641', '1,281',
'Random forest k=21', '81', '321', '641', '1,281',
'KNN k=21', '81', '321', '641', '1,281',
'KNN k=21', '81', '321', '641', '1,281',
'LASSO k=21', '81', '321', '641', '1,281',
'LASSO k=21', '81', '321', '641', '1,281',
'GLM k=21', '81', '321', '641', '1,281',
'GLM k=21', '81', '321', '641', '1,281'),
IF22oraclea0 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle10']))
),
IF22oraclea0_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'oracle10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'oracle10'])),')')
),
IF22tra0 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr10']))
),
IF22tra0_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'tr10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'tr10'])),')')
),
IF22nlshrinka0 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink10']))
),
IF22nlshrinka0_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'nlshrink10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'nlshrink10'])),')')
),
IF22esta0 = c(
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_knn_eff0',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_lasso_eff0',][[x]][2,'est10'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est1'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est2'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est3'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est4'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est5'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est6'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est7'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est8'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est9'])),
mean(sapply(1:n_sims, function(x) sim_out['HOIF_glm_eff0',][[x]][2,'est10']))
),
IF22esta0_sd = c(
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_stacked_eff0',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est8'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est9'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_boosted_tree_eff0',][[x]][2,'est10'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est1'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est2'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est3'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est4'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est5'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est6'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est7'])),')'),
paste0('(',sd(sapply(1:n_sims, function(x) sim_out['HOIF_random_forest_eff0',][[x]][2,'est8'])),')'),