Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:57 PM
INPUT INSTRUCTIONS
TITLE: cat2
EFA in a CFA framework
2 factors
imposing 4 restrictions just like in EFA:
2 loadings fixed at 0 (chosen from the efa)
and fixing the 2 factor variances at 1
this gives s.e.'s for loadings
DATA: FILE IS wefa.dat;
VARIABLE: NAMES ARE y1-y25;
USEV = y10-y22;
CATEGORICAL = y10-y22;
ANALYSIS: TYPE = MEANSTRUCTURE;
ESTIMATOR = WLSMV ;
MODEL:
f1 BY y10* y11-y14 y15@0 y16-y22;
f2 BY y10* y11-y21 y22@0;
! in the above 2 statements the default fixing to 1 of the
! first loading for y10 is avoided.
! loadings for y15 and y22 are fixed at 0
f1@1;
f2@1;
! factor variances are fixed at 1
*** WARNING in ANALYSIS command
Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
analyses. To remove means from the model, use
MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
cat2
EFA in a CFA framework
2 factors
imposing 4 restrictions just like in EFA:
2 loadings fixed at 0 (chosen from the efa)
and fixing the 2 factor variances at 1
this gives s.e.'s for loadings
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5042
Number of dependent variables 13
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Binary and ordered categorical (ordinal)
Y10 Y11 Y12 Y13 Y14 Y15
Y16 Y17 Y18 Y19 Y20 Y21
Y22
Continuous latent variables
F1 F2
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Input data file(s)
wefa.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
Y10
Category 1 0.972 4901.000
Category 2 0.028 141.000
Y11
Category 1 0.960 4840.000
Category 2 0.040 202.000
Y12
Category 1 0.986 4970.000
Category 2 0.014 72.000
Y13
Category 1 0.989 4986.000
Category 2 0.011 56.000
Y14
Category 1 0.956 4819.000
Category 2 0.044 223.000
Y15
Category 1 0.961 4843.000
Category 2 0.039 199.000
Y16
Category 1 0.988 4984.000
Category 2 0.012 58.000
Y17
Category 1 0.932 4701.000
Category 2 0.068 341.000
Y18
Category 1 0.968 4883.000
Category 2 0.032 159.000
Y19
Category 1 0.996 5023.000
Category 2 0.004 19.000
Y20
Category 1 0.963 4857.000
Category 2 0.037 185.000
Y21
Category 1 0.934 4710.000
Category 2 0.066 332.000
Y22
Category 1 0.981 4946.000
Category 2 0.019 96.000
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 62.257*
Degrees of Freedom 53
P-Value 0.1800
* The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
for chi-square difference testing in the regular way. MLM, MLR and WLSM
chi-square difference testing is described on the Mplus website. MLMV, WLSMV,
and ULSMV difference testing is done using the DIFFTEST option.
Chi-Square Test of Model Fit for the Baseline Model
Value 11960.602
Degrees of Freedom 78
P-Value 0.0000
CFI/TLI
CFI 0.999
TLI 0.999
Number of Free Parameters 38
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.006
WRMR (Weighted Root Mean Square Residual)
Value 0.587
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F1 BY
Y10 0.852 0.075 11.399 0.000
Y11 0.573 0.082 7.008 0.000
Y12 0.860 0.084 10.289 0.000
Y13 0.905 0.100 9.035 0.000
Y14 0.655 0.068 9.611 0.000
Y15 0.000 0.000 999.000 999.000
Y16 0.758 0.077 9.877 0.000
Y17 0.542 0.073 7.413 0.000
Y18 0.863 0.078 11.132 0.000
Y19 0.613 0.153 3.997 0.000
Y20 0.451 0.086 5.247 0.000
Y21 0.254 0.124 2.041 0.041
Y22 0.939 0.017 55.025 0.000
F2 BY
Y10 0.016 0.092 0.180 0.857
Y11 0.233 0.087 2.680 0.007
Y12 -0.014 0.099 -0.143 0.886
Y13 -0.081 0.121 -0.672 0.502
Y14 0.224 0.077 2.893 0.004
Y15 0.857 0.040 21.526 0.000
Y16 0.130 0.088 1.489 0.137
Y17 0.393 0.073 5.412 0.000
Y18 0.018 0.095 0.193 0.847
Y19 0.221 0.168 1.318 0.188
Y20 0.488 0.080 6.088 0.000
Y21 0.699 0.112 6.272 0.000
Y22 0.000 0.000 999.000 999.000
F2 WITH
F1 0.708 0.072 9.776 0.000
Thresholds
Y10$1 1.911 0.036 52.835 0.000
Y11$1 1.750 0.032 54.675 0.000
Y12$1 2.190 0.046 47.574 0.000
Y13$1 2.287 0.051 45.247 0.000
Y14$1 1.704 0.031 54.996 0.000
Y15$1 1.757 0.032 54.615 0.000
Y16$1 2.273 0.050 45.577 0.000
Y17$1 1.494 0.027 55.225 0.000
Y18$1 1.859 0.035 53.552 0.000
Y19$1 2.672 0.077 34.778 0.000
Y20$1 1.790 0.033 54.313 0.000
Y21$1 1.507 0.027 55.275 0.000
Y22$1 2.074 0.041 50.041 0.000
Variances
F1 1.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
R-SQUARE
Observed Residual
Variable Estimate Variance
Y10 0.747 0.253
Y11 0.572 0.428
Y12 0.723 0.277
Y13 0.722 0.278
Y14 0.687 0.313
Y15 0.735 0.265
Y16 0.732 0.268
Y17 0.749 0.251
Y18 0.768 0.232
Y19 0.616 0.384
Y20 0.754 0.246
Y21 0.805 0.195
Y22 0.881 0.119
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.447E-03
(ratio of smallest to largest eigenvalue)
Beginning Time: 22:57:54
Ending Time: 22:57:55
Elapsed Time: 00:00:01
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