Confirmatory factor analysis GHQ 12

From Shevlin/Adamson 2005:

Model 2 – 2 factor Politi et al, 1994 01 02 03 04 05 06 07 08 09 10 11 12 F1 F2

Specifying the model F1 by ghq02* ghq05 ghq06 ghq09 ghq10 ghq11 ghq12; 01 03 04 07 08 12 F2 F2 by ghq01* ghq03 ghq04 ghq07 ghq08 ghq12; F2@1; F1 F2 F1 with F2;

Mplus syntax for ‘model 2’ Variable: Names are ghq01 ghq02 ghq03 ghq04 ghq05 ghq06 ghq07 ghq08 ghq09 ghq10 ghq11 ghq12 f1 id; Missing are all (-9999) ; usevariables = ghq01 ghq03 ghq05 ghq07 ghq09 ghq11 ghq02 ghq04 ghq06 ghq08 ghq10 ghq12; categorical = ghq01 ghq03 ghq05 ghq07 ghq09 ghq11 idvariable = id; Analysis: estimator = WLSMV; model: F1 by ghq02* ghq05 ghq06 ghq09 ghq10 ghq11 ghq12; F1@1; F2 by ghq01* ghq03 ghq04 ghq07 ghq08 ghq12; F2@1; F1 with F2;

Chi-Square Test of Model Fit Value 561.922* Degrees of Freedom 32** TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 561.922* Degrees of Freedom 32** P-Value 0.0000 * The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used for chi-Square difference tests. MLM, MLR and WLSM chi-square difference testing is described in the Mplus Technical Appendices at www.statmodel.com. See chi-square difference testing in the index of the Mplus User's Guide. ** The degrees of freedom for MLMV, ULSMV and WLSMV are estimated according to a formula given in the Mplus Technical Appendices at www.statmodel.com. See degrees of freedom in the index of the Mplus User's Guide. Chi-Square Test of Model Fit for the Baseline Model Value 9961.631 Degrees of Freedom 13 CFI/TLI CFI 0.947 TLI 0.978 Number of Free Parameters 50 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.122 WRMR (Weighted Root Mean Square Residual) Value 2.067

Results for ‘model 2’ MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value F1 BY GHQ02 0.679 0.018 37.113 0.000 GHQ05 0.745 0.015 48.738 0.000 GHQ06 0.816 0.013 61.601 0.000 GHQ09 0.884 0.009 93.445 0.000 GHQ10 0.886 0.009 97.383 0.000 GHQ11 0.845 0.012 68.721 0.000 GHQ12 0.327 0.043 7.516 0.000 F2 BY GHQ01 0.779 0.015 51.337 0.000 GHQ03 0.638 0.021 30.899 0.000 GHQ04 0.737 0.017 44.364 0.000 GHQ07 0.760 0.015 49.694 0.000 GHQ08 0.793 0.016 49.767 0.000 GHQ12 0.516 0.043 11.967 0.000 F1 WITH F2 0.825 0.012 69.584 0.000

Results for ‘model 2’ Two-Tailed Estimate S.E. Est./S.E. P-Value Thresholds GHQ01$1 -1.708 0.066 -25.896 0.000 GHQ01$2 0.384 0.038 9.989 0.000 GHQ01$3 1.427 0.055 25.837 0.000 GHQ03$1 -1.246 0.050 -24.816 0.000 GHQ03$2 0.864 0.043 20.076 0.000 GHQ03$3 1.699 0.066 25.922 0.000 GHQ05$1 -1.137 0.048 -23.813 0.000 GHQ05$2 0.154 0.038 4.094 0.000 GHQ05$3 1.213 0.049 24.541 0.000 GHQ07$1 -1.579 0.061 -26.092 0.000 <snip> GHQ12$1 -1.237 0.050 -24.739 0.000 GHQ12$2 0.624 0.040 15.507 0.000 GHQ12$3 1.512 0.058 26.047 0.000 Variances F1 1.000 0.000 999.000 999.000 F2 1.000 0.000 999.000 999.000

Graphs

Distribution of factors

Scatterplot of factors

Model 1 Model 2 Model 3 Model 4 Model 5 Model 6 χ² test of Model Fit Value 943.696* 561.922* 605.457* 799.014* 489.153* DF 33** 32** P-Value < 0.0001 (Baseline Model) 9961.631 13 CFI 0.908 0.947 0.942 0.923 0.954 TLI 0.964 0.978 0.977 0.969 0.982 # Params 48 50 49 51 RMSEA 0.157 0.122 0.125 0. 146 0.111 WRMR 2.725 2.067 2.149 2.441 1.854