Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:22 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a path analysis
with a combination of continuous and
categorical dependent variables
MONTECARLO:
NAMES = y1 y2 u1 x1-x3;
NOBSERVATIONS = 500;
NREPS = 1;
SEED = 53487;
GENERATE = u1(1);
CATEGORICAL = u1;
SAVE = ex3.14.dat;
MODEL MONTECARLO:
[x1-x3@0];
x1-x3@1;
y1 ON x1*.1 x2*.2 x3*.3;
y2 ON x1*.3 x2*.2 x3*.1;
[y1*1 y2*2];
y1*.5; y2*.3;
u1 ON y1*1 y2*-1 x2*2;
[u1$1*0];
u1*.2;
!note that with WLSMV under the Delta parameterization,
!the u residual variances must agree with the metric
!used in the estimation for estimates to be ok, i.e.
!V(u*|x) = 1. This implies that the u1 res variance
!value is determined by u1 on y1 y2 and the u1 res var
MODEL:
y1 ON x1*.1 x2*.2 x3*.3;
y2 ON x1*.3 x2*.2 x3*.1;
[y1*1 y2*2];
y1*.5; y2*.3;
u1 ON y1*1 y2*-1 x2*2;
[u1$1*0];
OUTPUT: TECH9;
INPUT READING TERMINATED NORMALLY
this is an example of a path analysis
with a combination of continuous and
categorical dependent variables
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 3
Number of independent variables 3
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y1 Y2
Binary and ordered categorical (ordinal)
U1
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
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means/Intercepts/Thresholds
Y1 Y2 U1$1
________ ________ ________
-0.955 -1.981 1.058
Slopes
X1 X2 X3
________ ________ ________
Y1 0.095 0.201 0.337
Y2 0.271 0.196 0.110
U1 -0.252 2.052 0.304
Covariances/Correlations/Residual Correlations
Y1 Y2 U1
________ ________ ________
Y1 0.531
Y2 0.001 0.282
U1 0.526 -0.290
MODEL FIT INFORMATION
Number of Free Parameters 14
Chi-Square Test of Model Fit
Degrees of freedom 3
Mean 1.578
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.115 1.578
0.980 1.000 0.185 1.578
0.950 1.000 0.352 1.578
0.900 1.000 0.584 1.578
0.800 1.000 1.005 1.578
0.700 1.000 1.424 1.578
0.500 0.000 2.366 1.578
0.300 0.000 3.665 1.578
0.200 0.000 4.642 1.578
0.100 0.000 6.251 1.578
0.050 0.000 7.815 1.578
0.020 0.000 9.837 1.578
0.010 0.000 11.345 1.578
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 0.010
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 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y1 ON
X1 0.100 0.0876 0.0000 0.0306 0.0002 1.000 1.000
X2 0.200 0.2007 0.0000 0.0320 0.0000 1.000 1.000
X3 0.300 0.3466 0.0000 0.0363 0.0022 1.000 1.000
Y2 ON
X1 0.300 0.2750 0.0000 0.0228 0.0006 1.000 1.000
X2 0.200 0.1962 0.0000 0.0238 0.0000 1.000 1.000
X3 0.100 0.1054 0.0000 0.0241 0.0000 1.000 1.000
U1 ON
Y1 1.000 1.0128 0.0000 0.0596 0.0002 1.000 1.000
Y2 -1.000 -1.0616 0.0000 0.1025 0.0038 1.000 1.000
X2 2.000 2.0572 0.0000 0.1921 0.0033 1.000 1.000
Intercepts
Y1 1.000 0.9549 0.0000 0.0328 0.0020 1.000 1.000
Y2 2.000 1.9814 0.0000 0.0240 0.0003 1.000 1.000
Thresholds
U1$1 0.000 -0.0784 0.0000 0.2431 0.0061 1.000 0.000
Residual Variances
Y1 0.500 0.5261 0.0000 0.0354 0.0007 1.000 1.000
Y2 0.300 0.2798 0.0000 0.0194 0.0004 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.262E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
TAU
U1$1
________
1
NU
Y1 Y2 U1
________ ________ ________
0 0 0
LAMBDA
Y1 Y2 U1
________ ________ ________
Y1 0 0 0
Y2 0 0 0
U1 0 0 0
THETA
Y1 Y2 U1
________ ________ ________
Y1 0
Y2 0 0
U1 0 0 0
ALPHA
Y1 Y2 U1
________ ________ ________
2 3 0
BETA
Y1 Y2 U1
________ ________ ________
Y1 0 0 0
Y2 0 0 0
U1 4 5 0
GAMMA
X1 X2 X3
________ ________ ________
Y1 6 7 8
Y2 9 10 11
U1 0 12 0
PSI
Y1 Y2 U1
________ ________ ________
Y1 13
Y2 0 14
U1 0 0 0
STARTING VALUES
TAU
U1$1
________
0.000
NU
Y1 Y2 U1
________ ________ ________
0.000 0.000 0.000
LAMBDA
Y1 Y2 U1
________ ________ ________
Y1 1.000 0.000 0.000
Y2 0.000 1.000 0.000
U1 0.000 0.000 1.000
THETA
Y1 Y2 U1
________ ________ ________
Y1 0.000
Y2 0.000 0.000
U1 0.000 0.000 0.000
ALPHA
Y1 Y2 U1
________ ________ ________
1.000 2.000 0.000
BETA
Y1 Y2 U1
________ ________ ________
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
U1 1.000 -1.000 0.000
GAMMA
X1 X2 X3
________ ________ ________
Y1 0.100 0.200 0.300
Y2 0.300 0.200 0.100
U1 0.000 2.000 0.000
PSI
Y1 Y2 U1
________ ________ ________
Y1 0.500
Y2 0.000 0.300
U1 0.000 0.000 1.000
POPULATION VALUES
TAU
U1$1
________
0.000
NU
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
X3
________
0.000
LAMBDA
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000 0.000
Y2 0.000 1.000 0.000 0.000 0.000
U1 0.000 0.000 1.000 0.000 0.000
X1 0.000 0.000 0.000 1.000 0.000
X2 0.000 0.000 0.000 0.000 1.000
X3 0.000 0.000 0.000 0.000 0.000
LAMBDA
X3
________
Y1 0.000
Y2 0.000
U1 0.000
X1 0.000
X2 0.000
X3 1.000
THETA
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
U1 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000 0.000
THETA
X3
________
X3 0.000
ALPHA
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
1.000 2.000 0.000 0.000 0.000
ALPHA
X3
________
0.000
BETA
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
Y1 0.000 0.000 0.000 0.100 0.200
Y2 0.000 0.000 0.000 0.300 0.200
U1 1.000 -1.000 0.000 0.000 2.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000 0.000
BETA
X3
________
Y1 0.300
Y2 0.100
U1 0.000
X1 0.000
X2 0.000
X3 0.000
PSI
Y1 Y2 U1 X1 X2
________ ________ ________ ________ ________
Y1 0.500
Y2 0.000 0.300
U1 0.000 0.000 0.200
X1 0.000 0.000 0.000 1.000
X2 0.000 0.000 0.000 0.000 1.000
X3 0.000 0.000 0.000 0.000 0.000
PSI
X3
________
X3 1.000
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y1
Y2
U1
X1
X2
X3
Save file
ex3.14.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:22:33
Ending Time: 22:22:33
Elapsed Time: 00:00:00
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