Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a multiple indicator
linear growth model for categorical outcomes
DATA: FILE IS ex6.15.dat;
VARIABLE: NAMES ARE u11 u21 u31 u12 u22 u32
u13 u23 u33;
CATEGORICAL ARE u11 u21 u31 u12 u22 u32 u13 u23 u33;
MODEL: f1 BY u11
u21-u31 (1-2);
f2 BY u12
u22-u32 (1-2);
f3 BY u13
u23-u33 (1-2);
[u11$1 u12$1 u13$1] (3);
[u21$1 u22$1 u23$1] (4);
[u31$1 u32$1 u33$1] (5);
{u11-u31@1 u12-u33};
i s | f1@0 f2@1 f3@2;
INPUT READING TERMINATED NORMALLY
this is an example of a multiple indicator
linear growth model for categorical outcomes
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 9
Number of independent variables 0
Number of continuous latent variables 5
Observed dependent variables
Binary and ordered categorical (ordinal)
U11 U21 U31 U12 U22 U32
U13 U23 U33
Continuous latent variables
F1 F2 F3 I S
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Link PROBIT
Input data file(s)
ex6.15.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U11
Category 1 0.294 147.000
Category 2 0.706 353.000
U21
Category 1 0.500 250.000
Category 2 0.500 250.000
U31
Category 1 0.684 342.000
Category 2 0.316 158.000
U12
Category 1 0.072 36.000
Category 2 0.928 464.000
U22
Category 1 0.152 76.000
Category 2 0.848 424.000
U32
Category 1 0.298 149.000
Category 2 0.702 351.000
U13
Category 1 0.004 2.000
Category 2 0.996 498.000
U23
Category 1 0.024 12.000
Category 2 0.976 488.000
U33
Category 1 0.062 31.000
Category 2 0.938 469.000
WARNING: THE BIVARIATE TABLE OF U13 AND U11 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U13 AND U21 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U13 AND U31 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U13 AND U22 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U13 AND U32 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U23 AND U13 HAS AN EMPTY CELL.
WARNING: THE BIVARIATE TABLE OF U33 AND U13 HAS AN EMPTY CELL.
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 18
Chi-Square Test of Model Fit
Value 69.699*
Degrees of Freedom 27
P-Value 0.0000
* 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.
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.056
90 Percent C.I. 0.040 0.073
Probability RMSEA <= .05 0.245
CFI/TLI
CFI 0.980
TLI 0.973
Chi-Square Test of Model Fit for the Baseline Model
Value 2127.869
Degrees of Freedom 36
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.068
Optimum Function Value for Weighted Least-Squares Estimator
Value 0.55359774D-01
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
F1 1.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
F3 1.000 0.000 999.000 999.000
S |
F1 0.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
F3 2.000 0.000 999.000 999.000
F1 BY
U11 1.000 0.000 999.000 999.000
U21 1.076 0.060 17.859 0.000
U31 0.951 0.048 19.778 0.000
F2 BY
U12 1.000 0.000 999.000 999.000
U22 1.076 0.060 17.859 0.000
U32 0.951 0.048 19.778 0.000
F3 BY
U13 1.000 0.000 999.000 999.000
U23 1.076 0.060 17.859 0.000
U33 0.951 0.048 19.778 0.000
S WITH
I -0.211 0.078 -2.716 0.007
Means
I 0.000 0.000 999.000 999.000
S 1.111 0.152 7.287 0.000
Intercepts
F1 0.000 0.000 999.000 999.000
F2 0.000 0.000 999.000 999.000
F3 0.000 0.000 999.000 999.000
Thresholds
U11$1 -0.548 0.059 -9.258 0.000
U21$1 0.010 0.054 0.184 0.854
U31$1 0.472 0.058 8.152 0.000
U12$1 -0.548 0.059 -9.258 0.000
U22$1 0.010 0.054 0.184 0.854
U32$1 0.472 0.058 8.152 0.000
U13$1 -0.548 0.059 -9.258 0.000
U23$1 0.010 0.054 0.184 0.854
U33$1 0.472 0.058 8.152 0.000
Variances
I 0.703 0.160 4.400 0.000
S 0.261 0.090 2.897 0.004
Residual Variances
F1 0.085 0.157 0.544 0.586
F2 0.470 0.177 2.657 0.008
F3 0.045 0.078 0.575 0.566
Scales
U11 1.000 0.000 999.000 999.000
U21 1.000 0.000 999.000 999.000
U31 1.000 0.000 999.000 999.000
U12 0.890 0.102 8.693 0.000
U22 0.853 0.128 6.681 0.000
U32 0.911 0.134 6.815 0.000
U13 0.870 0.132 6.614 0.000
U23 0.875 0.133 6.588 0.000
U33 0.923 0.141 6.542 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.117E-03
(ratio of smallest to largest eigenvalue)
R-SQUARE
Observed Residual
Variable Estimate Variance
U11 0.788 0.212
U21 0.913 0.087
U31 0.713 0.287
U12 0.802 0.250
U22 0.852 0.203
U32 0.759 0.291
U13 0.717 0.374
U23 0.839 0.210
U33 0.729 0.318
Latent
Variable Estimate
F1 0.892
F2 0.536
F3 0.953
Beginning Time: 23:12:17
Ending Time: 23:12:18
Elapsed Time: 00:00:01
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