R/results_exp_ols_mc.mvn_ci.R
results_exp_ols_mc.mvn_ci.RdResults: Simple Mediation Model - Exponential X lambda = 1 - Complete Data - Monte Carlo Method Confidence Intervals with Ordinary Least Squares Parameter Estimates and Standard Errors
results_exp_ols_mc.mvn_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_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_nb_ci,
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 1 #> 2 2 500 5000 0.1414214 0.7140742 0.7140742 0.509902 1 #> 3 3 250 5000 0.1414214 0.7140742 0.7140742 0.509902 1 #> 4 4 200 5000 0.1414214 0.7140742 0.7140742 0.509902 1 #> 5 5 150 5000 0.1414214 0.7140742 0.7140742 0.509902 1 #> 6 6 100 5000 0.1414214 0.7140742 0.7140742 0.509902 1 #> sigma2epsilonm sigma2epsilony mux deltam deltay est se #> 1 0.490098 0.325876 1 0.2859258 0.1445045 0.5094746 0.02433589 #> 2 0.490098 0.325876 1 0.2859258 0.1445045 0.5093660 0.03453244 #> 3 0.490098 0.325876 1 0.2859258 0.1445045 0.5105374 0.04920582 #> 4 0.490098 0.325876 1 0.2859258 0.1445045 0.5112566 0.05524932 #> 5 0.490098 0.325876 1 0.2859258 0.1445045 0.5089419 0.06400511 #> 6 0.490098 0.325876 1 0.2859258 0.1445045 0.5104024 0.07924213 #> reps ci_0.05 ci_0.5 ci_2.5 ci_97.5 ci_99.5 ci_99.95 #> 1 20000 0.4325248 0.4484323 0.4625983 0.5579565 0.5737077 0.5918896 #> 2 20000 0.4017870 0.4236907 0.4433216 0.5786299 0.6014099 0.6279289 #> 3 20000 0.3604504 0.3903142 0.4173817 0.6101303 0.6435272 0.6827450 #> 4 20000 0.3439973 0.3770485 0.4070806 0.6234783 0.6613569 0.7059272 #> 5 20000 0.3177605 0.3549245 0.3890039 0.6396601 0.6842933 0.7370527 #> 6 20000 0.2779454 0.3224435 0.3633414 0.6735506 0.7301379 0.7977601 #> zero_hit_99.9 zero_hit_99 zero_hit_95 len_99.9 len_99 len_95 #> 1 0 0 0 0.1593647 0.1252755 0.09535815 #> 2 0 0 0 0.2261419 0.1777191 0.13530829 #> 3 0 0 0 0.3222946 0.2532130 0.19274859 #> 4 0 0 0 0.3619299 0.2843084 0.21639764 #> 5 0 0 0 0.4192922 0.3293687 0.25065622 #> 6 0 0 0 0.5198147 0.4076944 0.31020916 #> shape_99.9 shape_99 shape_95 theta_hit_99.9 theta_hit_99 theta_hit_95 #> 1 1.071728 1.052445 1.034343 0.9990 0.9908 0.9490 #> 2 1.102754 1.074485 1.048836 0.9990 0.9918 0.9514 #> 3 1.148162 1.106404 1.069203 0.9990 0.9884 0.9482 #> 4 1.164561 1.118619 1.077308 0.9988 0.9908 0.9516 #> 5 1.194122 1.138847 1.090024 0.9992 0.9894 0.9468 #> 6 1.237466 1.169471 1.109587 0.9986 0.9910 0.9526 #> theta_miss_99.9 theta_miss_99 theta_miss_95 theta power_99.9 power_99 #> 1 0.0010 0.0092 0.0510 0.509902 1 1 #> 2 0.0010 0.0082 0.0486 0.509902 1 1 #> 3 0.0010 0.0116 0.0518 0.509902 1 1 #> 4 0.0012 0.0092 0.0484 0.509902 1 1 #> 5 0.0008 0.0106 0.0532 0.509902 1 1 #> 6 0.0014 0.0090 0.0474 0.509902 1 1 #> power_95 liberal_ll_99.9 liberal_ul_99.9 moderate_ll_99.9 moderate_ul_99.9 #> 1 1 5e-04 0.0015 8e-04 0.0012 #> 2 1 5e-04 0.0015 8e-04 0.0012 #> 3 1 5e-04 0.0015 8e-04 0.0012 #> 4 1 5e-04 0.0015 8e-04 0.0012 #> 5 1 5e-04 0.0015 8e-04 0.0012 #> 6 1 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 1 1 1 1 1 #> 2 0.065 1 1 1 1 1 #> 3 0.065 1 1 1 1 1 #> 4 0.065 1 1 1 1 1 #> 5 0.065 1 1 1 0 1 #> 6 0.065 1 1 1 0 1 #> moderate_95 strict_99.9 strict_99 strict_95 serlin_95 missing std #> 1 1 1 1 1 1 Complete Unstandardized #> 2 1 1 0 1 1 Complete Unstandardized #> 3 1 1 0 1 1 Complete Unstandardized #> 4 1 0 1 1 1 Complete Unstandardized #> 5 1 0 1 1 1 Complete Unstandardized #> 6 1 0 0 1 1 Complete Unstandardized #> Method n_label alpha_label beta_label taudot_label theta_label #> 1 MC n: 1000 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 2 MC n: 500 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 3 MC n: 250 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 4 MC n: 200 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 5 MC n: 150 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 6 MC n: 100 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71)#> 'data.frame': 531 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 1 1 1 1 1 1 1 1 1 1 ... #> $ sigma2epsilonm : num 0.49 0.49 0.49 0.49 0.49 ... #> $ sigma2epsilony : num 0.326 0.326 0.326 0.326 0.326 ... #> $ mux : num 1 1 1 1 1 1 1 1 1 1 ... #> $ deltam : num 0.286 0.286 0.286 0.286 0.286 ... #> $ deltay : num 0.145 0.145 0.145 0.145 0.145 ... #> $ est : num 0.509 0.509 0.511 0.511 0.509 ... #> $ se : num 0.0243 0.0345 0.0492 0.0552 0.064 ... #> $ reps : num 20000 20000 20000 20000 20000 20000 20000 20000 20000 20000 ... #> $ ci_0.05 : num 0.433 0.402 0.36 0.344 0.318 ... #> $ ci_0.5 : num 0.448 0.424 0.39 0.377 0.355 ... #> $ ci_2.5 : num 0.463 0.443 0.417 0.407 0.389 ... #> $ ci_97.5 : num 0.558 0.579 0.61 0.623 0.64 ... #> $ ci_99.5 : num 0.574 0.601 0.644 0.661 0.684 ... #> $ ci_99.95 : num 0.592 0.628 0.683 0.706 0.737 ... #> $ 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 0 0 0.0006 0.144 0 ... #> $ len_99.9 : num 0.159 0.226 0.322 0.362 0.419 ... #> $ len_99 : num 0.125 0.178 0.253 0.284 0.329 ... #> $ len_95 : num 0.0954 0.1353 0.1927 0.2164 0.2507 ... #> $ shape_99.9 : num 1.07 1.1 1.15 1.16 1.19 ... #> $ shape_99 : num 1.05 1.07 1.11 1.12 1.14 ... #> $ shape_95 : num 1.03 1.05 1.07 1.08 1.09 ... #> $ theta_hit_99.9 : num 0.999 0.999 0.999 0.999 0.999 ... #> $ theta_hit_99 : num 0.991 0.992 0.988 0.991 0.989 ... #> $ theta_hit_95 : num 0.949 0.951 0.948 0.952 0.947 ... #> $ theta_miss_99.9 : num 0.001 0.001 0.001 0.0012 0.0008 0.0014 0.0024 0.0024 0.003 0.0006 ... #> $ theta_miss_99 : num 0.0092 0.0082 0.0116 0.0092 0.0106 0.009 0.0164 0.0114 0.0142 0.0076 ... #> $ theta_miss_95 : num 0.051 0.0486 0.0518 0.0484 0.0532 0.0474 0.0522 0.054 0.0522 0.0522 ... #> $ 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 1 1 1 1 1 1 0 0 0 1 ... #> $ liberal_99 : num 1 1 1 1 1 1 0 1 1 1 ... #> $ liberal_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ moderate_99.9 : num 1 1 1 1 0 0 0 0 0 0 ... #> $ moderate_99 : num 1 1 1 1 1 1 0 1 0 0 ... #> $ moderate_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ strict_99.9 : num 1 1 1 0 0 0 0 0 0 0 ... #> $ strict_99 : num 1 0 0 1 1 0 0 0 0 0 ... #> $ strict_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ serlin_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ missing : chr "Complete" "Complete" "Complete" "Complete" ... #> $ std : chr "Unstandardized" "Unstandardized" "Unstandardized" "Unstandardized" ... #> $ Method : chr "MC" "MC" "MC" "MC" ... #> $ 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)" ...