R/results_vm_sev_nb_ci.R
results_vm_sev_nb_ci.RdResults: Simple Mediation Model - Vale and Maurelli (1983) - Skewness = 3, Kurtosis = 21 - Complete Data - Nonparametric Bootstrap Confidence Intervals
results_vm_sev_nb_ci
A data frame with the following variables
Simulation task identification number.
Sample size.
Monte Carlo replications.
Population slope of path from x to y \(\left( \dot{\tau} \right)\)
Population slope of path from m to y \(\left( \beta \right)\)
Population slope of path from x to m \(\left( \alpha \right)\)
Population indirect effect of x on y through m \(\left( \alpha \beta \right)\)
Population variance of x \(\left( \sigma_{x}^{2} \right)\)
Population error variance of m \(\left( \sigma_{\varepsilon_{m}}^{2} \right)\)
Population error variance of y \(\left( \sigma_{\varepsilon_{y}}^{2} \right)\)
Population mean of x \(\left( \mu_x \right)\).
Population intercept of m \(\left( \delta_m \right)\).
Population intercept of y \(\left( \delta_y \right)\).
Mean of the estimate of the indirect effect \(\left( \hat{\alpha} \hat{\beta} \right)\).
Mean of the estimate of standard error of the indirect effect \(\left( \hat{\alpha} \hat{\beta} \right)\).
Monte Carlo method of bootstrap replications.
Mean of the lower limit confidence interval for the 99.9% confidence interval.
Mean of the lower limit confidence interval for the 99% confidence interval.
Mean of the lower limit confidence interval for the 95% confidence interval.
Mean of the upper limit confidence interval for the 95% confidence interval.
Mean of the upper limit confidence interval for the 99% confidence interval.
Mean of the upper limit confidence interval for the 99.9% confidence interval.
Mean zero hit for the 99.9% confidence interval.
Mean zero hit for the 99% confidence interval.
Mean zero hit for the 95% confidence interval.
Mean confidence interval length for the 99.9% confidence interval.
Mean confidence interval length for the 99% confidence interval.
Mean confidence interval length for the 95% confidence interval.
Mean confidence interval shape for the 99.9% confidence interval.
Mean confidence interval shape for the 99% confidence interval.
Mean confidence interval shape for the 95% confidence interval.
Mean theta hit for the 99.9% confidence interval.
Mean theta hit for the 99% confidence interval.
Mean theta hit for the 95% confidence interval.
Mean theta miss for the 99.9% confidence interval.
Mean theta miss for the 99% confidence interval.
Mean theta miss for the 95% confidence interval.
Population parameter \(\alpha \beta\).
Mean power for the 99.9% confidence interval.
Mean power for the 99% confidence interval.
Mean power for the 95% confidence interval.
Lower limit of the liberal criteria for the 99.9% confidence interval.
Upper limit of the liberal criteria for the 99.9% confidence interval.
Lower limit of the moderate criteria for the 99.9% confidence interval.
Upper limit of the moderate criteria for the 99.9% confidence interval.
Lower limit of the strict criteria for the 99.9% confidence interval.
Upper limit of the strict criteria for the 99.9% confidence interval.
Lower limit of the liberal criteria for the 99% confidence interval.
Upper limit of the liberal criteria for the 99% confidence interval.
Lower limit of the moderate criteria for the 99% confidence interval.
Upper limit of the moderate criteria for the 99% confidence interval.
Lower limit of the strict criteria for the 99% confidence interval.
Upper limit of the strict criteria for the 99% confidence interval.
Lower limit of the liberal criteria for the 95% confidence interval.
Upper limit of the liberal criteria for the 95% confidence interval.
Lower limit of the moderate criteria for the 95% confidence interval.
Upper limit of the moderate criteria for the 95% confidence interval.
Lower limit of the strict criteria for the 95% confidence interval.
Upper limit of the strict criteria for the 95% confidence interval.
Lower limit of the Serlin criteria for the 95% confidence interval.
Upper limit of the Serlin criteria for the 95% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the Serlin robustness criteria for 95% confidence interval.
Type of missingness.
Standardized vs. unstandardize indirect effect.
Method used. Fit in this case.
Sample size labels.
\(\alpha\) labels.
\(\beta\) labels.
\(\dot{\tau}\) labels.
\(\theta\) labels.
The simple mediation model is given by $$ y_i = \delta_y + \dot{\tau} x_i + \beta m_i + \varepsilon_{y_{i}} $$
$$ m_i = \delta_m + \alpha x_i + \varepsilon_{m_{i}} $$
The parameters for the mean structure are $$ \boldsymbol{\theta}_{\text{mean structure}} = \left\{ \mu_x, \delta_m, \delta_y \right\} . $$
The parameters for the covariance structure are $$ \boldsymbol{\theta}_{\text{covariance structure}} = \left\{ \dot{\tau}, \beta, \alpha, \sigma_{x}^{2}, \sigma_{\varepsilon_{m}}^{2}, \sigma_{\varepsilon_{y}}^{2} \right\} . $$
Other results:
results_beta_fit.ols,
results_beta_ols_mc.mvn_ci,
results_exp_fit.ols,
results_exp_ols_mc.mvn_ci,
results_mvn_fit.ols,
results_mvn_fit.sem,
results_mvn_mar_fit.sem,
results_mvn_mar_mc.mvn_ci,
results_mvn_mar_nb.fiml_ci,
results_mvn_mar_pb.mvn_ci,
results_mvn_mcar_fit.sem,
results_mvn_mcar_mc.mvn_ci,
results_mvn_mcar_nb.fiml_ci,
results_mvn_mcar_pb.mvn_ci,
results_mvn_mnar_fit.sem,
results_mvn_mnar_mc.mvn_ci,
results_mvn_mnar_nb.fiml_ci,
results_mvn_nb_ci,
results_mvn_ols_mc.mvn_ci,
results_mvn_pb.mvn_ci,
results_mvn_sem_mc.mvn_ci,
results_vm_mod_fit.ols,
results_vm_mod_fit.sem.mlr,
results_vm_mod_nb_ci,
results_vm_mod_ols_mc.mvn_ci,
results_vm_mod_pb.mvn_ci,
results_vm_mod_sem_mc.mvn_ci,
results_vm_sev_fit.ols,
results_vm_sev_fit.sem.mlr,
results_vm_sev_ols_mc.mvn_ci,
results_vm_sev_pb.mvn_ci,
results_vm_sev_sem_mc.mvn_ci
#> taskid n simreps taudot beta alpha alphabeta sigma2x #> 1 1 1000 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 2 2 500 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 3 3 250 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 4 4 200 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 5 5 150 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 6 6 100 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> sigma2epsilonm sigma2epsilony mux deltam deltay est se reps #> 1 110.2721 73.3221 100 28.59258 14.45045 0.5136024 0.05686008 5000 #> 2 110.2721 73.3221 100 28.59258 14.45045 0.5146523 0.07717847 5000 #> 3 110.2721 73.3221 100 28.59258 14.45045 0.5197992 0.10338264 5000 #> 4 110.2721 73.3221 100 28.59258 14.45045 0.5188273 0.11283953 5000 #> 5 110.2721 73.3221 100 28.59258 14.45045 0.5154481 0.12659336 5000 #> 6 110.2721 73.3221 100 28.59258 14.45045 0.5195372 0.14935080 5000 #> ci_0.05 ci_0.5 ci_2.5 ci_97.5 ci_99.5 ci_99.95 zero_hit_99.9 #> 1 0.3578871 0.3852011 0.4120091 0.6333116 0.6738721 0.7199392 0.0000 #> 2 0.3133790 0.3468451 0.3805614 0.6800521 0.7369496 0.8021177 0.0000 #> 3 0.2620806 0.3034883 0.3452992 0.7450401 0.8247899 0.9170229 0.0012 #> 4 0.2423243 0.2862742 0.3307437 0.7666302 0.8551052 0.9583987 0.0038 #> 5 0.2117737 0.2596274 0.3078947 0.7964147 0.8985358 1.0192713 0.0132 #> 6 0.1675641 0.2244221 0.2796607 0.8546153 0.9804783 1.1310845 0.0508 #> zero_hit_99 zero_hit_95 len_99.9 len_99 len_95 shape_99.9 shape_99 #> 1 0.0000 0.0000 0.3620521 0.2886710 0.2213025 1.321458 1.245255 #> 2 0.0000 0.0000 0.4887387 0.3901045 0.2994907 1.433519 1.330826 #> 3 0.0008 0.0002 0.6549423 0.5213016 0.3997410 1.574466 1.440637 #> 4 0.0010 0.0004 0.7160745 0.5688310 0.4358866 1.635307 1.489029 #> 5 0.0034 0.0006 0.8074977 0.6389084 0.4885200 1.730078 1.562265 #> 6 0.0180 0.0046 0.9635204 0.7560562 0.5749546 1.858097 1.668963 #> shape_95 theta_hit_99.9 theta_hit_99 theta_hit_95 theta_miss_99.9 #> 1 1.178527 0.9950 0.9814 0.9336 0.0050 #> 2 1.243665 0.9972 0.9844 0.9344 0.0028 #> 3 1.325236 0.9956 0.9812 0.9282 0.0044 #> 4 1.364562 0.9958 0.9798 0.9298 0.0042 #> 5 1.420610 0.9950 0.9772 0.9244 0.0050 #> 6 1.501176 0.9942 0.9786 0.9264 0.0058 #> theta_miss_99 theta_miss_95 theta power_99.9 power_99 power_95 #> 1 0.0186 0.0664 0.509902 1.0000 1.0000 1.0000 #> 2 0.0156 0.0656 0.509902 1.0000 1.0000 1.0000 #> 3 0.0188 0.0718 0.509902 0.9988 0.9992 0.9998 #> 4 0.0202 0.0702 0.509902 0.9962 0.9990 0.9996 #> 5 0.0228 0.0756 0.509902 0.9868 0.9966 0.9994 #> 6 0.0214 0.0736 0.509902 0.9492 0.9820 0.9954 #> liberal_ll_99.9 liberal_ul_99.9 moderate_ll_99.9 moderate_ul_99.9 #> 1 5e-04 0.0015 8e-04 0.0012 #> 2 5e-04 0.0015 8e-04 0.0012 #> 3 5e-04 0.0015 8e-04 0.0012 #> 4 5e-04 0.0015 8e-04 0.0012 #> 5 5e-04 0.0015 8e-04 0.0012 #> 6 5e-04 0.0015 8e-04 0.0012 #> strict_ll_99.9 strict_ul_99.9 liberal_ll_99 liberal_ul_99 moderate_ll_99 #> 1 9e-04 0.0011 0.005 0.015 0.008 #> 2 9e-04 0.0011 0.005 0.015 0.008 #> 3 9e-04 0.0011 0.005 0.015 0.008 #> 4 9e-04 0.0011 0.005 0.015 0.008 #> 5 9e-04 0.0011 0.005 0.015 0.008 #> 6 9e-04 0.0011 0.005 0.015 0.008 #> moderate_ul_99 strict_ll_99 strict_ul_99 liberal_ll_95 liberal_ul_95 #> 1 0.012 0.009 0.011 0.025 0.075 #> 2 0.012 0.009 0.011 0.025 0.075 #> 3 0.012 0.009 0.011 0.025 0.075 #> 4 0.012 0.009 0.011 0.025 0.075 #> 5 0.012 0.009 0.011 0.025 0.075 #> 6 0.012 0.009 0.011 0.025 0.075 #> moderate_ll_95 moderate_ul_95 strict_ll_95 strict_ul_95 serlin_ll_95 #> 1 0.04 0.06 0.045 0.055 0.035 #> 2 0.04 0.06 0.045 0.055 0.035 #> 3 0.04 0.06 0.045 0.055 0.035 #> 4 0.04 0.06 0.045 0.055 0.035 #> 5 0.04 0.06 0.045 0.055 0.035 #> 6 0.04 0.06 0.045 0.055 0.035 #> serlin_ul_95 liberal_99.9 liberal_99 liberal_95 moderate_99.9 moderate_99 #> 1 0.065 0 0 1 0 0 #> 2 0.065 0 0 1 0 0 #> 3 0.065 0 0 1 0 0 #> 4 0.065 0 0 1 0 0 #> 5 0.065 0 0 0 0 0 #> 6 0.065 0 0 1 0 0 #> moderate_95 strict_99.9 strict_99 strict_95 serlin_95 missing std #> 1 0 0 0 0 0 Complete Unstandardized #> 2 0 0 0 0 0 Complete Unstandardized #> 3 0 0 0 0 0 Complete Unstandardized #> 4 0 0 0 0 0 Complete Unstandardized #> 5 0 0 0 0 0 Complete Unstandardized #> 6 0 0 0 0 0 Complete Unstandardized #> Method n_label alpha_label beta_label taudot_label theta_label #> 1 NBPC n: 1000 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 2 NBPC n: 500 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 3 NBPC n: 250 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 4 NBPC n: 200 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 5 NBPC n: 150 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 6 NBPC n: 100 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71)#> 'data.frame': 1566 obs. of 79 variables: #> $ taskid : num 1 2 3 4 5 6 7 8 9 10 ... #> $ n : num 1000 500 250 200 150 100 75 50 20 1000 ... #> $ simreps : num 5000 5000 5000 5000 5000 5000 5000 5000 5000 5000 ... #> $ taudot : num 0.141 0.141 0.141 0.141 0.141 ... #> $ beta : num 0.714 0.714 0.714 0.714 0.714 ... #> $ alpha : num 0.714 0.714 0.714 0.714 0.714 ... #> $ alphabeta : num 0.51 0.51 0.51 0.51 0.51 ... #> $ sigma2x : num 225 225 225 225 225 225 225 225 225 225 ... #> $ sigma2epsilonm : num 110 110 110 110 110 ... #> $ sigma2epsilony : num 73.3 73.3 73.3 73.3 73.3 ... #> $ mux : num 100 100 100 100 100 100 100 100 100 100 ... #> $ deltam : num 28.6 28.6 28.6 28.6 28.6 ... #> $ deltay : num 14.5 14.5 14.5 14.5 14.5 ... #> $ est : num 0.514 0.515 0.52 0.519 0.515 ... #> $ se : num 0.0569 0.0772 0.1034 0.1128 0.1266 ... #> $ reps : num 5000 5000 5000 5000 5000 5000 5000 5000 5000 5000 ... #> $ ci_0.05 : num 0.358 0.313 0.262 0.242 0.212 ... #> $ ci_0.5 : num 0.385 0.347 0.303 0.286 0.26 ... #> $ ci_2.5 : num 0.412 0.381 0.345 0.331 0.308 ... #> $ ci_97.5 : num 0.633 0.68 0.745 0.767 0.796 ... #> $ ci_99.5 : num 0.674 0.737 0.825 0.855 0.899 ... #> $ ci_99.95 : num 0.72 0.802 0.917 0.958 1.019 ... #> $ zero_hit_99.9 : num 0 0 0.0012 0.0038 0.0132 ... #> $ zero_hit_99 : num 0 0 0.0008 0.001 0.0034 ... #> $ zero_hit_95 : num 0e+00 0e+00 2e-04 4e-04 6e-04 ... #> $ len_99.9 : num 0.362 0.489 0.655 0.716 0.807 ... #> $ len_99 : num 0.289 0.39 0.521 0.569 0.639 ... #> $ len_95 : num 0.221 0.299 0.4 0.436 0.489 ... #> $ shape_99.9 : num 1.32 1.43 1.57 1.64 1.73 ... #> $ shape_99 : num 1.25 1.33 1.44 1.49 1.56 ... #> $ shape_95 : num 1.18 1.24 1.33 1.36 1.42 ... #> $ theta_hit_99.9 : num 0.995 0.997 0.996 0.996 0.995 ... #> $ theta_hit_99 : num 0.981 0.984 0.981 0.98 0.977 ... #> $ theta_hit_95 : num 0.934 0.934 0.928 0.93 0.924 ... #> $ theta_miss_99.9 : num 0.005 0.0028 0.0044 0.0042 0.005 0.0058 0.0038 0.0044 0.003 0.0034 ... #> $ theta_miss_99 : num 0.0186 0.0156 0.0188 0.0202 0.0228 0.0214 0.0196 0.0186 0.019 0.0178 ... #> $ theta_miss_95 : num 0.0664 0.0656 0.0718 0.0702 0.0756 0.0736 0.0686 0.074 0.0706 0.0628 ... #> $ theta : num 0.51 0.51 0.51 0.51 0.51 ... #> $ power_99.9 : num 1 1 0.999 0.996 0.987 ... #> $ power_99 : num 1 1 0.999 0.999 0.997 ... #> $ power_95 : num 1 1 1 1 0.999 ... #> $ liberal_ll_99.9 : num 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 ... #> $ liberal_ul_99.9 : num 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 ... #> $ moderate_ll_99.9: num 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 ... #> $ moderate_ul_99.9: num 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 ... #> $ strict_ll_99.9 : num 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 ... #> $ strict_ul_99.9 : num 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 ... #> $ liberal_ll_99 : num 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 ... #> $ liberal_ul_99 : num 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 ... #> $ moderate_ll_99 : num 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 ... #> $ moderate_ul_99 : num 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 ... #> $ strict_ll_99 : num 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 ... #> $ strict_ul_99 : num 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 ... #> $ liberal_ll_95 : num 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 ... #> $ liberal_ul_95 : num 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 ... #> $ moderate_ll_95 : num 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 ... #> $ moderate_ul_95 : num 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 ... #> $ strict_ll_95 : num 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 ... #> $ strict_ul_95 : num 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 ... #> $ serlin_ll_95 : num 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 ... #> $ serlin_ul_95 : num 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 ... #> $ liberal_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ liberal_99 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ liberal_95 : num 1 1 1 1 0 1 1 1 1 1 ... #> $ moderate_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ moderate_99 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ moderate_95 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_99 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_95 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ serlin_95 : num 0 0 0 0 0 0 0 0 0 1 ... #> $ missing : chr "Complete" "Complete" "Complete" "Complete" ... #> $ std : chr "Unstandardized" "Unstandardized" "Unstandardized" "Unstandardized" ... #> $ Method : chr "NBPC" "NBPC" "NBPC" "NBPC" ... #> $ n_label : Factor w/ 9 levels "n: 20","n: 50",..: 9 8 7 6 5 4 3 2 1 9 ... #> $ alpha_label : Factor w/ 4 levels "α: 0.00","α: 0.38",..: 4 4 4 4 4 4 4 4 4 4 ... #> $ beta_label : Factor w/ 4 levels "β: 0.00","β: 0.38",..: 4 4 4 4 4 4 4 4 4 4 ... #> $ taudot_label : Factor w/ 4 levels "τ̇: 0.00","τ̇: 0.14",..: 2 2 2 2 2 2 2 2 2 1 ... #> $ theta_label : chr "0.51(0.71,0.71)" "0.51(0.71,0.71)" "0.51(0.71,0.71)" "0.51(0.71,0.71)" ...