## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 70000
## burn-in period = 7000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.716
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.663
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.761
## alpha:medcrgv 1 1 0.697 0.012 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.823
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.645
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.518
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.589
## sigma:meprinf 0.422 0.010 0.403 0.442
## sigma:cttresa 0.495 0.010 0.475 0.516
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.003 0.447 -0.823 0.804
## R:1:3 0.002 0.449 -0.801 0.826
## R:1:4 -0.001 0.450 -0.800 0.825
## R:2:3 -0.001 0.445 -0.829 0.790
## R:2:4 -0.001 0.447 -0.803 0.822
## R:3:4 -0.002 0.449 -0.796 0.827
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.693 0.012 0.670 0.716
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.771
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.823
## alpha:cttresa 1 1 0.741 0.011 0.720 0.764
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.517
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.442
## sigma:cttresa 0.495 0.010 0.476 0.516
## sigma:ctstogv 0.559 0.012 0.537 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.003 0.448 -0.812 0.812
## R:1:3 -0.002 0.449 -0.816 0.813
## R:1:4 -0.002 0.448 -0.817 0.805
## R:2:3 -0.004 0.445 -0.833 0.785
## R:2:4 0.001 0.446 -0.806 0.810
## R:3:4 -0.003 0.448 -0.810 0.812
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 60000
## burn-in period = 6000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.761
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.823
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.517
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.543 0.588
## sigma:meprinf 0.422 0.010 0.403 0.441
## sigma:cttresa 0.495 0.010 0.475 0.516
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.004 0.449 -0.804 0.825
## R:1:3 -0.003 0.449 -0.818 0.806
## R:1:4 -0.001 0.450 -0.826 0.806
## R:2:3 0.001 0.449 -0.806 0.822
## R:2:4 -0.001 0.449 -0.816 0.811
## R:3:4 0.000 0.448 -0.796 0.825
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.693 0.012 0.670 0.716
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.663
## alpha:fairelc 1 1 0.748 0.011 0.727 0.771
## alpha:oppcrgv 1 1 0.739 0.012 0.715 0.761
## alpha:medcrgv 1 1 0.697 0.012 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.781 0.824
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.613 0.660
## sigma:fairelc 0.497 0.010 0.477 0.517
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.402 0.441
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.677
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.003 0.451 -0.808 0.820
## R:1:3 0.001 0.449 -0.806 0.824
## R:1:4 0.000 0.449 -0.808 0.821
## R:2:3 -0.001 0.448 -0.822 0.803
## R:2:4 -0.001 0.449 -0.827 0.803
## R:3:4 -0.001 0.447 -0.814 0.811
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.669 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.727 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.012 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.824
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.611
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.476 0.517
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.441
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.002 0.450 -0.825 0.806
## R:1:3 -0.001 0.450 -0.820 0.809
## R:1:4 0.002 0.449 -0.806 0.819
## R:2:3 -0.001 0.446 -0.821 0.801
## R:2:4 0.002 0.448 -0.817 0.807
## R:3:4 0.002 0.447 -0.804 0.821
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 70000
## burn-in period = 7000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.781 0.824
## alpha:cttresa 1 1 0.741 0.011 0.720 0.764
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.518
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.441
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.631 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.002 0.411 -0.774 0.740
## R:1:3 0.000 0.411 -0.741 0.771
## R:1:4 -0.001 0.410 -0.765 0.750
## R:2:3 -0.001 0.408 -0.759 0.752
## R:2:4 0.001 0.409 -0.756 0.760
## R:3:4 0.001 0.410 -0.769 0.746
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 70000
## burn-in period = 7000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.663
## alpha:fairelc 1 1 0.748 0.011 0.726 0.771
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.823
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.645
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.563 0.610
## sigma:gptpelc 0.637 0.012 0.613 0.661
## sigma:fairelc 0.497 0.010 0.477 0.518
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.441
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.677
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.001 0.410 -0.754 0.751
## R:1:3 0.004 0.409 -0.763 0.744
## R:1:4 -0.001 0.408 -0.752 0.753
## R:2:3 0.001 0.409 -0.756 0.753
## R:2:4 0.001 0.408 -0.755 0.752
## R:3:4 0.000 0.409 -0.755 0.749
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 1e+05
## burn-in period = 10000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.823
## alpha:cttresa 1 1 0.741 0.011 0.720 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.646
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.517
## sigma:oppcrgv 0.528 0.011 0.506 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.441
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.630 0.678
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.001 0.411 -0.765 0.751
## R:1:3 0.000 0.411 -0.752 0.763
## R:1:4 -0.001 0.409 -0.755 0.756
## R:2:3 -0.002 0.410 -0.758 0.760
## R:2:4 0.000 0.408 -0.749 0.760
## R:3:4 0.001 0.409 -0.749 0.758
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 60000
## burn-in period = 6000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.012 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.824
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.645
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.614 0.661
## sigma:fairelc 0.497 0.010 0.477 0.517
## sigma:oppcrgv 0.528 0.011 0.505 0.550
## sigma:medcrgv 0.566 0.011 0.544 0.588
## sigma:meprinf 0.422 0.010 0.403 0.442
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.535 0.583
## sigma:rghmgpr 0.654 0.012 0.629 0.677
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.001 0.410 -0.773 0.741
## R:1:3 0.000 0.411 -0.746 0.765
## R:1:4 -0.002 0.410 -0.768 0.745
## R:2:3 -0.003 0.409 -0.754 0.762
## R:2:4 0.000 0.408 -0.759 0.746
## R:3:4 0.000 0.409 -0.746 0.769
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 4
## Identification restriction (Nid) = 2
##
## MCMC iterations = 70000
## burn-in period = 7000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 1 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:dfprtal 1 1 0.692 0.012 0.670 0.715
## alpha:gptpelc 1 1 0.640 0.012 0.617 0.662
## alpha:fairelc 1 1 0.748 0.011 0.726 0.770
## alpha:oppcrgv 1 1 0.739 0.012 0.716 0.762
## alpha:medcrgv 1 1 0.697 0.011 0.675 0.720
## alpha:meprinf 1 1 0.802 0.011 0.780 0.824
## alpha:cttresa 1 1 0.741 0.011 0.719 0.763
## alpha:ctstogv 1 1 0.723 0.012 0.700 0.746
## alpha:rghmgpr 1 1 0.623 0.012 0.600 0.645
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:dfprtal 0.587 0.012 0.564 0.610
## sigma:gptpelc 0.637 0.012 0.613 0.661
## sigma:fairelc 0.497 0.010 0.477 0.518
## sigma:oppcrgv 0.528 0.011 0.507 0.551
## sigma:medcrgv 0.566 0.011 0.545 0.589
## sigma:meprinf 0.422 0.010 0.403 0.442
## sigma:cttresa 0.495 0.010 0.475 0.515
## sigma:ctstogv 0.559 0.012 0.536 0.583
## sigma:rghmgpr 0.654 0.012 0.629 0.677
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 -0.003 0.409 -0.763 0.746
## R:1:3 -0.003 0.410 -0.760 0.746
## R:1:4 0.001 0.411 -0.759 0.756
## R:2:3 0.001 0.408 -0.750 0.757
## R:2:4 0.000 0.409 -0.746 0.764
## R:3:4 -0.001 0.410 -0.764 0.747
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot: BEFA 2012
Copyright:
Benedikt Philipp Kleer, 2022 (Online-Appendix zur Promotion, eingereicht am 14. September 2022, Fachbereich 03, Justus-Liebig-Universität Gießen).