Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:09 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a path analysis
with categorical dependent variables
DATA: FILE IS ex3.12.dat;
VARIABLE: NAMES ARE u1-u3 x1-x3;
CATEGORICAL ARE u1-u3;
MODEL: u1 u2 ON x1 x2 x3;
u3 ON u1 u2 x2;
INPUT READING TERMINATED NORMALLY
this is an example of a path analysis
with categorical dependent variables
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 3
Number of independent variables 3
Number of continuous latent variables 0
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3
Observed independent variables
X1 X2 X3
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)
ex3.12.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.398 199.000
Category 2 0.226 113.000
Category 3 0.376 188.000
U2
Category 1 0.528 264.000
Category 2 0.472 236.000
U3
Category 1 0.440 220.000
Category 2 0.126 63.000
Category 3 0.156 78.000
Category 4 0.278 139.000
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
X1 0.046 0.006 -3.268 0.20% -0.875 -0.207 0.030
500.000 1.143 0.311 3.468 0.20% 0.358 0.873
X2 -0.027 -0.152 -2.818 0.20% -0.986 -0.221 0.093
500.000 1.066 -0.277 2.993 0.20% 0.341 0.820
X3 -0.012 0.034 -3.229 0.20% -0.798 -0.270 -0.038
500.000 1.074 0.285 3.252 0.20% 0.219 0.851
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 15
Chi-Square Test of Model Fit
Value 0.936*
Degrees of Freedom 3
P-Value 0.8166
* 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 0.000
90 Percent C.I. 0.000 0.046
Probability RMSEA <= .05 0.961
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 875.406
Degrees of Freedom 12
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.017
Optimum Function Value for Weighted Least-Squares Estimator
Value 0.81654507D-03
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U1 ON
X1 2.662 0.197 13.505 0.000
X2 1.719 0.129 13.312 0.000
X3 0.928 0.104 8.962 0.000
U2 ON
X1 0.920 0.177 5.212 0.000
X2 2.132 0.311 6.866 0.000
X3 3.553 0.463 7.673 0.000
U3 ON
U1 0.588 0.050 11.698 0.000
U2 -0.460 0.064 -7.233 0.000
X2 2.227 0.168 13.223 0.000
Thresholds
U1$1 -0.877 0.108 -8.095 0.000
U1$2 1.101 0.115 9.552 0.000
U2$1 0.111 0.114 0.972 0.331
U3$1 -0.502 0.098 -5.121 0.000
U3$2 0.463 0.093 4.960 0.000
U3$3 1.696 0.127 13.381 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.309E-02
(ratio of smallest to largest eigenvalue)
R-SQUARE
Observed Residual
Variable Estimate Variance
U1 0.926 1.000
U2 0.954 1.000
U3 0.951 0.442
Beginning Time: 23:09:14
Ending Time: 23:09:15
Elapsed Time: 00:00:01
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