R/results_mvn_std_nb_ci.R
results_mvn_std_nb_ci.RdResults: Simple Mediation Model - Multivariate Normal Distribution - Standardized - Complete Data - Nonparametric Bootstrap Confidence Intervals
results_mvn_std_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 functions:
results_mvn_std_fit.sem,
results_mvn_std_mc.mvn.delta_ci,
results_mvn_std_mc.mvn.sem_ci,
results_mvn_std_mc.mvn.tb_ci,
results_mvn_std_mc.wishart_ci,
results_mvn_std_pb.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 0.5097527 0.02013615 5000 #> 2 110.2721 73.3221 100 28.59258 14.45045 0.5097172 0.02849458 5000 #> 3 110.2721 73.3221 100 28.59258 14.45045 0.5096705 0.04056946 5000 #> 4 110.2721 73.3221 100 28.59258 14.45045 0.5088352 0.04555171 5000 #> 5 110.2721 73.3221 100 28.59258 14.45045 0.5091470 0.05267843 5000 #> 6 110.2721 73.3221 100 28.59258 14.45045 0.5075375 0.06512826 5000 #> ci_0.05 ci_0.5 ci_2.5 ci_97.5 ci_99.5 ci_99.95 zero_hit_99.9 #> 1 0.4455741 0.4585751 0.4705076 0.5493767 0.5620332 0.5760824 0 #> 2 0.4193201 0.4375820 0.4543014 0.5659114 0.5841557 0.6043898 0 #> 3 0.3819098 0.4074238 0.4309385 0.5898826 0.6163425 0.6460855 0 #> 4 0.3654150 0.3942140 0.4205372 0.5990199 0.6290014 0.6628574 0 #> 5 0.3434314 0.3767017 0.4071176 0.6135704 0.6486298 0.6883533 0 #> 6 0.3023387 0.3439407 0.3814933 0.6369562 0.6812656 0.7320157 0 #> zero_hit_99 zero_hit_95 len_99.9 len_99 len_95 shape_99.9 shape_99 #> 1 0 0 0.1305083 0.1034580 0.07886915 1.035844 1.022236 #> 2 0 0 0.1850697 0.1465737 0.11160994 1.049696 1.032584 #> 3 0 0 0.2641757 0.2089187 0.15894410 1.070322 1.044210 #> 4 0 0 0.2974423 0.2347875 0.17848274 1.076830 1.049338 #> 5 0 0 0.3449219 0.2719281 0.20645288 1.085194 1.054483 #> 6 0 0 0.4296770 0.3373250 0.25546288 1.099217 1.064212 #> shape_95 theta_hit_99.9 theta_hit_99 theta_hit_95 theta_miss_99.9 #> 1 1.010025 0.9980 0.9884 0.9480 0.0020 #> 2 1.014375 0.9976 0.9916 0.9478 0.0024 #> 3 1.019186 0.9988 0.9880 0.9470 0.0012 #> 4 1.021845 0.9988 0.9906 0.9446 0.0012 #> 5 1.024034 0.9988 0.9890 0.9482 0.0012 #> 6 1.027952 0.9976 0.9872 0.9466 0.0024 #> theta_miss_99 theta_miss_95 theta power_99.9 power_99 power_95 #> 1 0.0116 0.0520 0.509902 1 1 1 #> 2 0.0084 0.0522 0.509902 1 1 1 #> 3 0.0120 0.0530 0.509902 1 1 1 #> 4 0.0094 0.0554 0.509902 1 1 1 #> 5 0.0110 0.0518 0.509902 1 1 1 #> 6 0.0128 0.0534 0.509902 1 1 1 #> 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 1 1 0 1 #> 2 0.065 0 1 1 0 1 #> 3 0.065 1 1 1 1 0 #> 4 0.065 1 1 1 1 1 #> 5 0.065 1 1 1 1 1 #> 6 0.065 0 1 1 0 0 #> moderate_95 strict_99.9 strict_99 strict_95 serlin_95 missing std #> 1 1 0 0 1 1 Complete Standardized #> 2 1 0 0 1 1 Complete Standardized #> 3 1 0 0 1 1 Complete Standardized #> 4 1 0 1 0 1 Complete Standardized #> 5 1 0 0 1 1 Complete Standardized #> 6 1 0 0 1 1 Complete Standardized #> 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': 1593 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 0.51 0.51 0.51 0.509 0.509 ... #> $ se : num 0.0201 0.0285 0.0406 0.0456 0.0527 ... #> $ reps : num 5000 5000 5000 5000 5000 5000 5000 5000 5000 5000 ... #> $ ci_0.05 : num 0.446 0.419 0.382 0.365 0.343 ... #> $ ci_0.5 : num 0.459 0.438 0.407 0.394 0.377 ... #> $ ci_2.5 : num 0.471 0.454 0.431 0.421 0.407 ... #> $ ci_97.5 : num 0.549 0.566 0.59 0.599 0.614 ... #> $ ci_99.5 : num 0.562 0.584 0.616 0.629 0.649 ... #> $ ci_99.95 : num 0.576 0.604 0.646 0.663 0.688 ... #> $ zero_hit_99.9 : num 0 0 0 0 0 ... #> $ zero_hit_99 : num 0 0 0 0 0 ... #> $ zero_hit_95 : num 0 0 0 0 0 ... #> $ len_99.9 : num 0.131 0.185 0.264 0.297 0.345 ... #> $ len_99 : num 0.103 0.147 0.209 0.235 0.272 ... #> $ len_95 : num 0.0789 0.1116 0.1589 0.1785 0.2065 ... #> $ shape_99.9 : num 1.04 1.05 1.07 1.08 1.09 ... #> $ shape_99 : num 1.02 1.03 1.04 1.05 1.05 ... #> $ shape_95 : num 1.01 1.01 1.02 1.02 1.02 ... #> $ theta_hit_99.9 : num 0.998 0.998 0.999 0.999 0.999 ... #> $ theta_hit_99 : num 0.988 0.992 0.988 0.991 0.989 ... #> $ theta_hit_95 : num 0.948 0.948 0.947 0.945 0.948 ... #> $ theta_miss_99.9 : num 0.002 0.0024 0.0012 0.0012 0.0012 0.0024 0.002 0.0016 0.0018 0.0006 ... #> $ theta_miss_99 : num 0.0116 0.0084 0.012 0.0094 0.011 0.0128 0.0128 0.0142 0.013 0.0114 ... #> $ theta_miss_95 : num 0.052 0.0522 0.053 0.0554 0.0518 0.0534 0.0594 0.0602 0.0594 0.0556 ... #> $ theta : num 0.51 0.51 0.51 0.51 0.51 ... #> $ power_99.9 : num 1 1 1 1 1 ... #> $ power_99 : num 1 1 1 1 1 ... #> $ power_95 : num 1 1 1 1 1 ... #> $ 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 1 1 1 0 0 0 0 1 ... #> $ liberal_99 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ liberal_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ moderate_99.9 : num 0 0 1 1 1 0 0 0 0 0 ... #> $ moderate_99 : num 1 1 0 1 1 0 0 0 0 1 ... #> $ moderate_95 : num 1 1 1 1 1 1 1 0 1 1 ... #> $ strict_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_99 : num 0 0 0 1 0 0 0 0 0 0 ... #> $ strict_95 : num 1 1 1 0 1 1 0 0 0 0 ... #> $ serlin_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ missing : chr "Complete" "Complete" "Complete" "Complete" ... #> $ std : chr "Standardized" "Standardized" "Standardized" "Standardized" ... #> $ 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)" ...