Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:22 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a probit regression
for a binary or categorical observed
dependent variable with two covariates
MONTECARLO:
NAMES = u1 x1 x3;
NOBSERVATIONS = 500;
NREPS = 1;
SEED = 53487;
GENERATE = u1(1);
CATEGORICAL = u1;
SAVE = ex3.4.dat;
MODEL POPULATION:
[x1-x3@0];
x1-x3@1;
u1 ON x1*1 x3*2;
[u1$1*1];
u1*1;
MODEL: u1 ON x1*1 x3*2;
[u1$1*1];
INPUT READING TERMINATED NORMALLY
this is an example of a probit regression
for a binary or categorical observed
dependent variable with two covariates
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 53487
Number of dependent variables 1
Number of independent variables 2
Number of continuous latent variables 0
Observed dependent variables
Binary and ordered categorical (ordinal)
U1
Observed independent variables
X1 X3
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Link PROBIT
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means/Intercepts/Thresholds
U1$1
________
0.984
Slopes
X1 X3
________ ________
U1 1.022 2.474
Covariances/Correlations/Residual Correlations
U1
________
U1
MODEL FIT INFORMATION
Number of Free Parameters 3
Chi-Square Test of Model Fit
Degrees of freedom 0
Mean 0.000
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.000 0.000
0.980 1.000 0.000 0.000
0.950 1.000 0.000 0.000
0.900 1.000 0.000 0.000
0.800 1.000 0.000 0.000
0.700 1.000 0.000 0.000
0.500 1.000 0.000 0.000
0.300 1.000 0.000 0.000
0.200 1.000 0.000 0.000
0.100 1.000 0.000 0.000
0.050 1.000 0.000 0.000
0.020 1.000 0.000 0.000
0.010 1.000 0.000 0.000
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 1.000
0.010 1.000
CFI/TLI
CFI
Mean 1.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
TLI
Mean 1.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 1.000
0.010 1.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
U1 ON
X1 1.000 1.0225 0.0000 0.1209 0.0005 1.000 1.000
X3 2.000 2.4740 0.0000 0.2243 0.2247 0.000 1.000
Thresholds
U1$1 1.000 0.9839 0.0000 0.1186 0.0003 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.428E+00
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
TAU
U1$1
________
1
NU
U1
________
0
LAMBDA
U1
________
U1 0
ALPHA
U1
________
0
BETA
U1
________
U1 0
GAMMA
X1 X3
________ ________
U1 2 3
PSI
U1
________
U1 0
STARTING VALUES
TAU
U1$1
________
1.000
NU
U1
________
0.000
LAMBDA
U1
________
U1 1.000
ALPHA
U1
________
0.000
BETA
U1
________
U1 0.000
GAMMA
X1 X3
________ ________
U1 1.000 2.000
PSI
U1
________
U1 1.000
POPULATION VALUES
TAU
U1$1
________
1.000
NU
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
LAMBDA
U1 X1 X3
________ ________ ________
U1 1.000 0.000 0.000
X1 0.000 1.000 0.000
X3 0.000 0.000 1.000
THETA
U1 X1 X3
________ ________ ________
U1 0.000
X1 0.000 0.000
X3 0.000 0.000 0.000
ALPHA
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
BETA
U1 X1 X3
________ ________ ________
U1 0.000 1.000 2.000
X1 0.000 0.000 0.000
X3 0.000 0.000 0.000
PSI
U1 X1 X3
________ ________ ________
U1 1.000
X1 0.000 1.000
X3 0.000 0.000 1.000
SAVEDATA INFORMATION
Order of variables
U1
X1
X3
Save file
ex3.4.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:22:35
Ending Time: 22:22:35
Elapsed Time: 00:00:00
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