1. Confirmatory factor analysis
GHQ 12

3. From Shevlin/Adamson 2005:

4. Model 2 – 2 factor Politi et al, 199401 02 03 04 05 06 07 08 09 10 11 12 F1 F2

5. 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; F1 F2
F1 with F2;

6. 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;
F2 by ghq01* ghq03 ghq04 ghq07 ghq08 ghq12;
F1 with F2;

7. Chi-Square Test of Model Fit Value 561.922* Degrees of Freedom 32**
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value *
Degrees of Freedom **
P-Value
* 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 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 See degrees of freedom in the index of the Mplus User's Guide.
Chi-Square Test of Model Fit for the Baseline Model
Value
Degrees of Freedom
CFI/TLI
CFI
TLI
Number of Free Parameters
RMSEA (Root Mean Square Error Of Approximation)
Estimate
WRMR (Weighted Root Mean Square Residual)
Value

8. Results for ‘model 2’ MODEL RESULTS Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
GHQ
GHQ
GHQ
GHQ
GHQ
GHQ
GHQ
F BY
GHQ
GHQ
GHQ
GHQ
GHQ
GHQ
F WITH F

9. Results for ‘model 2’ Two-Tailed Estimate S.E. Est./S.E. P-Value
Thresholds
GHQ01$
GHQ01$
GHQ01$
GHQ03$
GHQ03$
GHQ03$
GHQ05$
GHQ05$
GHQ05$
GHQ07$
<snip>
GHQ12$
GHQ12$
GHQ12$
Variances F F

10. Graphs

11. Distribution of factors

12. Scatterplot of factors

13. Model 1
Model 2
Model 3
Model 4
Model 5
Model 6
χ² test of Model Fit
Value * * * * * DF
33**
32**
P-Value
<
(Baseline Model) 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