Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:25 PM
INPUT INSTRUCTIONS
title:
this is an example of a GMM for a count
outcome using a negative binomial model
with automatic starting values and random
starts
montecarlo:
names are u1-u8 x;
generate = u1-u8(nb);
count = u1-u8(nb);
genclasses = c(2);
classes = c(2);
nobs = 500;
seed = 3454367;
nrep = 1;
save = ex8.5b.dat;
analysis:
type = mixture;
algorithm = integration;
model population:
%overall%
[x@0]; x@1;
i s q | u1@0 u2@1 u3@2 u4@3 u5@4 u6@5 u7@6 u8@7;
[u1-u8@0];
i*.7;
s-q@0;
i with s-q@0;
q with s@0;
u1-u8*2;
c#1 on x*1;
i on x*.02;
s on x*.01;
%c#1%
[i*-3 s*1.5 q*-.2];
%c#2%
[i*-1 s*.7 q*-.1];
model:
%overall%
i s q | u1@0 u2@1 u3@2 u4@3 u5@4 u6@5 u7@6 u8@7;
[u1-u8@0];
i*.7;
s-q@0;
i with s-q@0;
q with s@0;
u1-u8*2;
c#1 on x*1;
i on x*.02;
s on x*.01;
%c#1%
[i*-3 s*1.5 q*-.2];
%c#2%
[i*-1 s*.7 q*-.1];
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a GMM for a count
outcome using a negative binomial model
with automatic starting values and random
starts
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 3454367
Number of dependent variables 8
Number of independent variables 1
Number of continuous latent variables 3
Number of categorical latent variables 1
Observed dependent variables
Count
U1 U2 U3 U4 U5 U6
U7 U8
Observed independent variables
X
Continuous latent variables
I S Q
Categorical latent variables
C
Estimator MLR
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 1
Adaptive quadrature ON
Cholesky ON
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
X
________
-0.021
Covariances
X
________
X 1.032
Correlations
X
________
X 1.000
MODEL FIT INFORMATION
Number of Free Parameters 19
Loglikelihood
H0 Value
Mean -4424.635
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4424.635 -4424.635
0.980 0.000 -4424.635 -4424.635
0.950 0.000 -4424.635 -4424.635
0.900 0.000 -4424.635 -4424.635
0.800 0.000 -4424.635 -4424.635
0.700 0.000 -4424.635 -4424.635
0.500 0.000 -4424.635 -4424.635
0.300 0.000 -4424.635 -4424.635
0.200 0.000 -4424.635 -4424.635
0.100 0.000 -4424.635 -4424.635
0.050 0.000 -4424.635 -4424.635
0.020 0.000 -4424.635 -4424.635
0.010 0.000 -4424.635 -4424.635
Information Criteria
Akaike (AIC)
Mean 8887.270
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8887.270 8887.270
0.980 0.000 8887.270 8887.270
0.950 0.000 8887.270 8887.270
0.900 0.000 8887.270 8887.270
0.800 0.000 8887.270 8887.270
0.700 0.000 8887.270 8887.270
0.500 0.000 8887.270 8887.270
0.300 0.000 8887.270 8887.270
0.200 0.000 8887.270 8887.270
0.100 0.000 8887.270 8887.270
0.050 0.000 8887.270 8887.270
0.020 0.000 8887.270 8887.270
0.010 0.000 8887.270 8887.270
Bayesian (BIC)
Mean 8967.348
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8967.348 8967.348
0.980 0.000 8967.348 8967.348
0.950 0.000 8967.348 8967.348
0.900 0.000 8967.348 8967.348
0.800 0.000 8967.348 8967.348
0.700 0.000 8967.348 8967.348
0.500 0.000 8967.348 8967.348
0.300 0.000 8967.348 8967.348
0.200 0.000 8967.348 8967.348
0.100 0.000 8967.348 8967.348
0.050 0.000 8967.348 8967.348
0.020 0.000 8967.348 8967.348
0.010 0.000 8967.348 8967.348
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 8907.041
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8907.041 8907.041
0.980 0.000 8907.041 8907.041
0.950 0.000 8907.041 8907.041
0.900 0.000 8907.041 8907.041
0.800 0.000 8907.041 8907.041
0.700 0.000 8907.041 8907.041
0.500 0.000 8907.041 8907.041
0.300 0.000 8907.041 8907.041
0.200 0.000 8907.041 8907.041
0.100 0.000 8907.041 8907.041
0.050 0.000 8907.041 8907.041
0.020 0.000 8907.041 8907.041
0.010 0.000 8907.041 8907.041
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 326.31908 0.65264
2 173.68092 0.34736
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 326.31908 0.65264
2 173.68092 0.34736
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 358 0.71600
2 142 0.28400
CLASSIFICATION QUALITY
Entropy 0.396
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.828 0.172
2 0.210 0.790
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.908 0.092
2 0.354 0.646
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.295 0.000
2 -0.599 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Latent Class 1
I |
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 4.000 4.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 5.000 5.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 6.000 6.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 7.000 7.0000 0.0000 0.0000 0.0000 1.000 0.000
Q |
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 4.000 4.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 9.000 9.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 16.000 16.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 25.000 25.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 36.000 36.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 49.000 49.0000 0.0000 0.0000 0.0000 1.000 0.000
I ON
X 0.020 -0.2478 0.0000 0.0985 0.0717 0.000 1.000
S ON
X 0.010 0.0278 0.0000 0.0181 0.0003 1.000 0.000
I WITH
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Q 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Q WITH
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Means
Q -0.200 -0.1616 0.0000 0.0194 0.0015 0.000 1.000
Intercepts
I -3.000 -2.4568 0.0000 0.2793 0.2951 1.000 1.000
S 1.500 1.1683 0.0000 0.1439 0.1100 0.000 1.000
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Variances
Q 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Residual Variances
I 0.700 0.2710 0.0000 0.1101 0.1840 0.000 1.000
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Dispersion
U1 2.000 2.4413 0.0000 0.7163 0.1948 1.000 1.000
U2 2.000 3.1870 0.0000 0.5208 1.4090 0.000 1.000
U3 2.000 1.8985 0.0000 0.3222 0.0103 1.000 1.000
U4 2.000 1.9447 0.0000 0.2804 0.0031 1.000 1.000
U5 2.000 2.1262 0.0000 0.2963 0.0159 1.000 1.000
U6 2.000 2.0358 0.0000 0.2897 0.0013 1.000 1.000
U7 2.000 2.0420 0.0000 0.3804 0.0018 1.000 1.000
U8 2.000 2.5355 0.0000 0.7123 0.2868 1.000 1.000
Latent Class 2
I |
U1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 4.000 4.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 5.000 5.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 6.000 6.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 7.000 7.0000 0.0000 0.0000 0.0000 1.000 0.000
Q |
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 4.000 4.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 9.000 9.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 16.000 16.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 25.000 25.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 36.000 36.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 49.000 49.0000 0.0000 0.0000 0.0000 1.000 0.000
I ON
X 0.020 -0.2478 0.0000 0.0985 0.0717 0.000 1.000
S ON
X 0.010 0.0278 0.0000 0.0181 0.0003 1.000 0.000
I WITH
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Q 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Q WITH
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Means
Q -0.100 -0.1157 0.0000 0.0158 0.0002 1.000 1.000
Intercepts
I -1.000 -0.4470 0.0000 0.2316 0.3058 0.000 0.000
S 0.700 0.7742 0.0000 0.1112 0.0055 1.000 1.000
U1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U6 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U7 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
U8 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Variances
Q 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Residual Variances
I 0.700 0.2710 0.0000 0.1101 0.1840 0.000 1.000
S 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Dispersion
U1 2.000 2.4413 0.0000 0.7163 0.1948 1.000 1.000
U2 2.000 3.1870 0.0000 0.5208 1.4090 0.000 1.000
U3 2.000 1.8985 0.0000 0.3222 0.0103 1.000 1.000
U4 2.000 1.9447 0.0000 0.2804 0.0031 1.000 1.000
U5 2.000 2.1262 0.0000 0.2963 0.0159 1.000 1.000
U6 2.000 2.0358 0.0000 0.2897 0.0013 1.000 1.000
U7 2.000 2.0420 0.0000 0.3804 0.0018 1.000 1.000
U8 2.000 2.5355 0.0000 0.7123 0.2868 1.000 1.000
Categorical Latent Variables
C#1 ON
X 1.000 0.2494 0.0000 0.1804 0.5634 0.000 0.000
Intercepts
C#1 0.000 0.6455 0.0000 0.3738 0.4167 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.970E-05
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
0 0 0 0 0
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
0 0 0 0 0
NU
U8 X
________ ________
0 0
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0 0 0 0
U1 0 0 0 0
U2#1 0 0 0 0
U2 0 0 0 0
U3#1 0 0 0 0
U3 0 0 0 0
U4#1 0 0 0 0
U4 0 0 0 0
U5#1 0 0 0 0
U5 0 0 0 0
U6#1 0 0 0 0
U6 0 0 0 0
U7#1 0 0 0 0
U7 0 0 0 0
U8#1 0 0 0 0
U8 0 0 0 0
X 0 0 0 0
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0
U1 0 1
U2#1 0 0 0
U2 0 0 0 2
U3#1 0 0 0 0 0
U3 0 0 0 0 0
U4#1 0 0 0 0 0
U4 0 0 0 0 0
U5#1 0 0 0 0 0
U5 0 0 0 0 0
U6#1 0 0 0 0 0
U6 0 0 0 0 0
U7#1 0 0 0 0 0
U7 0 0 0 0 0
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 3
U4#1 0 0
U4 0 0 4
U5#1 0 0 0 0
U5 0 0 0 0 5
U6#1 0 0 0 0 0
U6 0 0 0 0 0
U7#1 0 0 0 0 0
U7 0 0 0 0 0
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0
U6 0 6
U7#1 0 0 0
U7 0 0 0 7
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U8 X
________ ________
U8 8
X 0 0
ALPHA
I S Q X
________ ________ ________ ________
9 10 11 0
BETA
I S Q X
________ ________ ________ ________
I 0 0 0 12
S 0 0 0 13
Q 0 0 0 0
X 0 0 0 0
PSI
I S Q X
________ ________ ________ ________
I 14
S 0 0
Q 0 0 0
X 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS 2
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
0 0 0 0 0
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
0 0 0 0 0
NU
U8 X
________ ________
0 0
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0 0 0 0
U1 0 0 0 0
U2#1 0 0 0 0
U2 0 0 0 0
U3#1 0 0 0 0
U3 0 0 0 0
U4#1 0 0 0 0
U4 0 0 0 0
U5#1 0 0 0 0
U5 0 0 0 0
U6#1 0 0 0 0
U6 0 0 0 0
U7#1 0 0 0 0
U7 0 0 0 0
U8#1 0 0 0 0
U8 0 0 0 0
X 0 0 0 0
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0
U1 0 1
U2#1 0 0 0
U2 0 0 0 2
U3#1 0 0 0 0 0
U3 0 0 0 0 0
U4#1 0 0 0 0 0
U4 0 0 0 0 0
U5#1 0 0 0 0 0
U5 0 0 0 0 0
U6#1 0 0 0 0 0
U6 0 0 0 0 0
U7#1 0 0 0 0 0
U7 0 0 0 0 0
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 3
U4#1 0 0
U4 0 0 4
U5#1 0 0 0 0
U5 0 0 0 0 5
U6#1 0 0 0 0 0
U6 0 0 0 0 0
U7#1 0 0 0 0 0
U7 0 0 0 0 0
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0
U6 0 6
U7#1 0 0 0
U7 0 0 0 7
U8#1 0 0 0 0 0
U8 0 0 0 0 0
X 0 0 0 0 0
THETA
U8 X
________ ________
U8 8
X 0 0
ALPHA
I S Q X
________ ________ ________ ________
15 16 17 0
BETA
I S Q X
________ ________ ________ ________
I 0 0 0 12
S 0 0 0 13
Q 0 0 0 0
X 0 0 0 0
PSI
I S Q X
________ ________ ________ ________
I 14
S 0 0
Q 0 0 0
X 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
18 0
GAMMA(C)
I S Q X
________ ________ ________ ________
C#1 0 0 0 19
C#2 0 0 0 0
STARTING VALUES FOR LATENT CLASS 1
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0.000 -20.000 0.000 -20.000 0.000
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U8 X
________ ________
0.000 0.000
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0.000 0.000 0.000 0.000
U1 1.000 0.000 0.000 0.000
U2#1 0.000 0.000 0.000 0.000
U2 1.000 1.000 1.000 0.000
U3#1 0.000 0.000 0.000 0.000
U3 1.000 2.000 4.000 0.000
U4#1 0.000 0.000 0.000 0.000
U4 1.000 3.000 9.000 0.000
U5#1 0.000 0.000 0.000 0.000
U5 1.000 4.000 16.000 0.000
U6#1 0.000 0.000 0.000 0.000
U6 1.000 5.000 25.000 0.000
U7#1 0.000 0.000 0.000 0.000
U7 1.000 6.000 36.000 0.000
U8#1 0.000 0.000 0.000 0.000
U8 1.000 7.000 49.000 0.000
X 0.000 0.000 0.000 1.000
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0.000
U1 0.000 2.000
U2#1 0.000 0.000 0.000
U2 0.000 0.000 0.000 2.000
U3#1 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4#1 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5#1 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 2.000
U4#1 0.000 0.000
U4 0.000 0.000 2.000
U5#1 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 2.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0.000
U6 0.000 2.000
U7#1 0.000 0.000 0.000
U7 0.000 0.000 0.000 2.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U8 X
________ ________
U8 2.000
X 0.000 0.000
ALPHA
I S Q X
________ ________ ________ ________
-3.000 1.500 -0.200 0.000
BETA
I S Q X
________ ________ ________ ________
I 0.000 0.000 0.000 0.020
S 0.000 0.000 0.000 0.010
Q 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
I S Q X
________ ________ ________ ________
I 0.700
S 0.000 0.000
Q 0.000 0.000 0.000
X 0.000 0.000 0.000 0.500
STARTING VALUES FOR LATENT CLASS 2
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0.000 -20.000 0.000 -20.000 0.000
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U8 X
________ ________
0.000 0.000
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0.000 0.000 0.000 0.000
U1 1.000 0.000 0.000 0.000
U2#1 0.000 0.000 0.000 0.000
U2 1.000 1.000 1.000 0.000
U3#1 0.000 0.000 0.000 0.000
U3 1.000 2.000 4.000 0.000
U4#1 0.000 0.000 0.000 0.000
U4 1.000 3.000 9.000 0.000
U5#1 0.000 0.000 0.000 0.000
U5 1.000 4.000 16.000 0.000
U6#1 0.000 0.000 0.000 0.000
U6 1.000 5.000 25.000 0.000
U7#1 0.000 0.000 0.000 0.000
U7 1.000 6.000 36.000 0.000
U8#1 0.000 0.000 0.000 0.000
U8 1.000 7.000 49.000 0.000
X 0.000 0.000 0.000 1.000
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0.000
U1 0.000 2.000
U2#1 0.000 0.000 0.000
U2 0.000 0.000 0.000 2.000
U3#1 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4#1 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5#1 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 2.000
U4#1 0.000 0.000
U4 0.000 0.000 2.000
U5#1 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 2.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0.000
U6 0.000 2.000
U7#1 0.000 0.000 0.000
U7 0.000 0.000 0.000 2.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U8 X
________ ________
U8 2.000
X 0.000 0.000
ALPHA
I S Q X
________ ________ ________ ________
-1.000 0.700 -0.100 0.000
BETA
I S Q X
________ ________ ________ ________
I 0.000 0.000 0.000 0.020
S 0.000 0.000 0.000 0.010
Q 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
I S Q X
________ ________ ________ ________
I 0.700
S 0.000 0.000
Q 0.000 0.000 0.000
X 0.000 0.000 0.000 0.500
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
I S Q X
________ ________ ________ ________
C#1 0.000 0.000 0.000 1.000
C#2 0.000 0.000 0.000 0.000
POPULATION VALUES FOR LATENT CLASS 1
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0.000 -20.000 0.000 -20.000 0.000
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U8 X
________ ________
0.000 0.000
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0.000 0.000 0.000 0.000
U1 1.000 0.000 0.000 0.000
U2#1 0.000 0.000 0.000 0.000
U2 1.000 1.000 1.000 0.000
U3#1 0.000 0.000 0.000 0.000
U3 1.000 2.000 4.000 0.000
U4#1 0.000 0.000 0.000 0.000
U4 1.000 3.000 9.000 0.000
U5#1 0.000 0.000 0.000 0.000
U5 1.000 4.000 16.000 0.000
U6#1 0.000 0.000 0.000 0.000
U6 1.000 5.000 25.000 0.000
U7#1 0.000 0.000 0.000 0.000
U7 1.000 6.000 36.000 0.000
U8#1 0.000 0.000 0.000 0.000
U8 1.000 7.000 49.000 0.000
X 0.000 0.000 0.000 1.000
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0.000
U1 0.000 2.000
U2#1 0.000 0.000 0.000
U2 0.000 0.000 0.000 2.000
U3#1 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4#1 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5#1 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 2.000
U4#1 0.000 0.000
U4 0.000 0.000 2.000
U5#1 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 2.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0.000
U6 0.000 2.000
U7#1 0.000 0.000 0.000
U7 0.000 0.000 0.000 2.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U8 X
________ ________
U8 2.000
X 0.000 0.000
ALPHA
I S Q X
________ ________ ________ ________
-3.000 1.500 -0.200 0.000
BETA
I S Q X
________ ________ ________ ________
I 0.000 0.000 0.000 0.020
S 0.000 0.000 0.000 0.010
Q 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
I S Q X
________ ________ ________ ________
I 0.700
S 0.000 0.000
Q 0.000 0.000 0.000
X 0.000 0.000 0.000 1.000
POPULATION VALUES FOR LATENT CLASS 2
NU
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
0.000 -20.000 0.000 -20.000 0.000
NU
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
-20.000 0.000 -20.000 0.000 -20.000
NU
U8 X
________ ________
0.000 0.000
LAMBDA
I S Q X
________ ________ ________ ________
U1#1 0.000 0.000 0.000 0.000
U1 1.000 0.000 0.000 0.000
U2#1 0.000 0.000 0.000 0.000
U2 1.000 1.000 1.000 0.000
U3#1 0.000 0.000 0.000 0.000
U3 1.000 2.000 4.000 0.000
U4#1 0.000 0.000 0.000 0.000
U4 1.000 3.000 9.000 0.000
U5#1 0.000 0.000 0.000 0.000
U5 1.000 4.000 16.000 0.000
U6#1 0.000 0.000 0.000 0.000
U6 1.000 5.000 25.000 0.000
U7#1 0.000 0.000 0.000 0.000
U7 1.000 6.000 36.000 0.000
U8#1 0.000 0.000 0.000 0.000
U8 1.000 7.000 49.000 0.000
X 0.000 0.000 0.000 1.000
THETA
U1#1 U1 U2#1 U2 U3#1
________ ________ ________ ________ ________
U1#1 0.000
U1 0.000 2.000
U2#1 0.000 0.000 0.000
U2 0.000 0.000 0.000 2.000
U3#1 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4#1 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5#1 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U3 U4#1 U4 U5#1 U5
________ ________ ________ ________ ________
U3 2.000
U4#1 0.000 0.000
U4 0.000 0.000 2.000
U5#1 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 2.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
U7#1 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U6#1 U6 U7#1 U7 U8#1
________ ________ ________ ________ ________
U6#1 0.000
U6 0.000 2.000
U7#1 0.000 0.000 0.000
U7 0.000 0.000 0.000 2.000
U8#1 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
U8 X
________ ________
U8 2.000
X 0.000 0.000
ALPHA
I S Q X
________ ________ ________ ________
-1.000 0.700 -0.100 0.000
BETA
I S Q X
________ ________ ________ ________
I 0.000 0.000 0.000 0.020
S 0.000 0.000 0.000 0.010
Q 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
I S Q X
________ ________ ________ ________
I 0.700
S 0.000 0.000
Q 0.000 0.000 0.000
X 0.000 0.000 0.000 1.000
POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
I S Q X
________ ________ ________ ________
C#1 0.000 0.000 0.000 1.000
C#2 0.000 0.000 0.000 0.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.44400631D+04 0.0000000 0.0000000 EM
2 -0.44286088D+04 11.4543148 0.0025798 FS
3 -0.44285958D+04 0.0130464 0.0000029 FS
4 -0.44263474D+04 2.2484000 0.0005077 EM
5 -0.44259871D+04 0.3602645 0.0000814 EM
6 -0.44258865D+04 0.1006420 0.0000227 EM
7 -0.44258440D+04 0.0424187 0.0000096 EM
8 -0.44258186D+04 0.0253866 0.0000057 EM
9 -0.44258002D+04 0.0183986 0.0000042 EM
10 -0.44257856D+04 0.0146733 0.0000033 EM
11 -0.44257732D+04 0.0124009 0.0000028 EM
12 -0.44257622D+04 0.0109254 0.0000025 EM
13 -0.44257523D+04 0.0099331 0.0000022 EM
14 -0.44257431D+04 0.0092484 0.0000021 EM
15 -0.44257343D+04 0.0087663 0.0000020 EM
16 -0.44257259D+04 0.0084225 0.0000019 EM
17 -0.44257177D+04 0.0081765 0.0000018 EM
18 -0.44257097D+04 0.0080026 0.0000018 EM
19 -0.44257018D+04 0.0078841 0.0000018 EM
20 -0.44256940D+04 0.0078100 0.0000018 EM
21 -0.44256862D+04 0.0077727 0.0000018 EM
22 -0.44256785D+04 0.0077670 0.0000018 EM
23 -0.44256707D+04 0.0077890 0.0000018 EM
24 -0.44256628D+04 0.0078359 0.0000018 EM
25 -0.44256549D+04 0.0079054 0.0000018 EM
26 -0.44256469D+04 0.0079958 0.0000018 EM
27 -0.44256388D+04 0.0081058 0.0000018 EM
28 -0.44256306D+04 0.0082341 0.0000019 EM
29 -0.44256222D+04 0.0083797 0.0000019 EM
30 -0.44256137D+04 0.0085417 0.0000019 EM
31 -0.44256050D+04 0.0087193 0.0000020 EM
32 -0.44255960D+04 0.0089119 0.0000020 EM
33 -0.44255869D+04 0.0091187 0.0000021 EM
34 -0.44255776D+04 0.0093390 0.0000021 EM
35 -0.44255680D+04 0.0095723 0.0000022 EM
36 -0.44255582D+04 0.0098178 0.0000022 EM
37 -0.44255481D+04 0.0100749 0.0000023 EM
38 -0.44255378D+04 0.0103429 0.0000023 EM
39 -0.44255272D+04 0.0106211 0.0000024 EM
40 -0.44255163D+04 0.0109086 0.0000025 EM
41 -0.44255050D+04 0.0112046 0.0000025 EM
42 -0.44254935D+04 0.0115081 0.0000026 EM
43 -0.44254817D+04 0.0118183 0.0000027 EM
44 -0.44254696D+04 0.0121339 0.0000027 EM
45 -0.44254571D+04 0.0124539 0.0000028 EM
46 -0.44254444D+04 0.0127771 0.0000029 EM
47 -0.44254313D+04 0.0131019 0.0000030 EM
48 -0.44254178D+04 0.0134272 0.0000030 EM
49 -0.44254041D+04 0.0137513 0.0000031 EM
50 -0.44253900D+04 0.0140725 0.0000032 EM
51 -0.44253756D+04 0.0143893 0.0000033 EM
52 -0.44253609D+04 0.0146998 0.0000033 EM
53 -0.44253459D+04 0.0150023 0.0000034 EM
54 -0.44253306D+04 0.0152948 0.0000035 EM
55 -0.44253150D+04 0.0155754 0.0000035 EM
56 -0.44252992D+04 0.0158421 0.0000036 EM
57 -0.44252831D+04 0.0160930 0.0000036 EM
58 -0.44252668D+04 0.0163260 0.0000037 EM
59 -0.44252502D+04 0.0165393 0.0000037 EM
60 -0.44252335D+04 0.0167308 0.0000038 EM
61 -0.44248743D+04 0.3592417 0.0000812 QN
62 -0.44247670D+04 0.1072723 0.0000242 EM
63 -0.44247486D+04 0.0184097 0.0000042 EM
64 -0.44247381D+04 0.0104383 0.0000024 EM
65 -0.44247296D+04 0.0085650 0.0000019 EM
66 -0.44247220D+04 0.0076017 0.0000017 EM
67 -0.44247151D+04 0.0069174 0.0000016 EM
68 -0.44247087D+04 0.0063643 0.0000014 EM
69 -0.44247028D+04 0.0058849 0.0000013 EM
70 -0.44246974D+04 0.0054525 0.0000012 EM
71 -0.44246923D+04 0.0050542 0.0000011 EM
72 -0.44246876D+04 0.0046835 0.0000011 EM
73 -0.44246833D+04 0.0043368 0.0000010 EM
74 -0.44246793D+04 0.0040121 0.0000009 EM
75 -0.44246366D+04 0.0426651 0.0000096 QN
76 -0.44246352D+04 0.0013703 0.0000003 EM
77 -0.44246351D+04 0.0001408 0.0000000 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
U1
U2
U3
U4
U5
U6
U7
U8
X
C
Save file
ex8.5b.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:25:00
Ending Time: 22:25:04
Elapsed Time: 00:00:04
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