Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:20 PM
INPUT INSTRUCTIONS
title:
monte carlo for two-level GMM (three-level analysis)
for a continuous outcome
montecarlo:
names are y1-y4 x w;
nobservations = 1000;
ncsizes = 3;
csizes = 40 (5) 50 (10) 20 (15);
genclasses = c(2);
classes = c(2);
within = x;
between = w;
seed = 3454;
nrep = 1;
save = ex10.9.dat;
analysis:
type = twolevel mixture;
model population:
%within%
%overall%
[x@0]; x@1;
[c#1*0];
c#1 on x*1;
y1-y4*.25;
iw sw | y1@0 y2@1 y3@2 y4@3;
iw on x*1;
sw on x*.7;
iw*1; sw*.4;
%between%
%overall%
[w@0]; w@1;
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib on w*.6;
sb on w*.3;
c#1 on w*1;
ib*.5; sb@0; c#1*1;
ib with sb@0;
%c#1%
[ib*0 sb*.5];
%c#2%
[ib*3 sb*1];
model:
%within%
%overall%
[c#1*0];
c#1 on x*1;
y1-y4*.25;
iw sw | y1@0 y2@1 y3@2 y4@3;
iw on x*1;
sw on x*.7;
iw*1; sw*.4;
%between%
%overall%
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib on w*.6;
sb on w*.3;
c#1 on w*1;
ib*.5; sb@0; c#1*1;
ib with sb@0;
%c#1%
[ib*0 sb*.5];
%c#2%
[ib*3 sb*1];
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
monte carlo for two-level GMM (three-level analysis)
for a continuous outcome
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of replications
Requested 1
Completed 1
Value of seed 3454
Number of dependent variables 4
Number of independent variables 2
Number of continuous latent variables 4
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4
Observed independent variables
X W
Continuous latent variables
IW SW IB SB
Categorical latent variables
C
Variables with special functions
Within variables
X
Between variables
W
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 2
Adaptive quadrature ON
Cholesky OFF
SUMMARY OF DATA FOR THE FIRST REPLICATION
Cluster information
Size (s) Number of clusters of Size s
5 40
10 50
15 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
1.528 2.157 2.877 3.619 -0.027
Means
W
________
-0.157
Covariances
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 3.737
Y2 3.981 5.572
Y3 4.632 6.746 9.248
Y4 5.215 8.176 11.316 14.768
X 0.520 1.122 1.721 2.359 0.982
W 0.002 0.206 0.354 0.508 -0.007
Covariances
W
________
W 0.822
Correlations
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1.000
Y2 0.872 1.000
Y3 0.788 0.940 1.000
Y4 0.702 0.901 0.968 1.000
X 0.271 0.480 0.571 0.620 1.000
W 0.001 0.096 0.128 0.146 -0.008
Correlations
W
________
W 1.000
MODEL FIT INFORMATION
Number of Free Parameters 20
Loglikelihood
H0 Value
Mean -5919.508
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -5919.508 -5919.508
0.980 0.000 -5919.508 -5919.508
0.950 0.000 -5919.508 -5919.508
0.900 0.000 -5919.508 -5919.508
0.800 0.000 -5919.508 -5919.508
0.700 0.000 -5919.508 -5919.508
0.500 0.000 -5919.508 -5919.508
0.300 0.000 -5919.508 -5919.508
0.200 0.000 -5919.508 -5919.508
0.100 0.000 -5919.508 -5919.508
0.050 0.000 -5919.508 -5919.508
0.020 0.000 -5919.508 -5919.508
0.010 0.000 -5919.508 -5919.508
Information Criteria
Akaike (AIC)
Mean 11879.016
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 11879.016 11879.016
0.980 0.000 11879.016 11879.016
0.950 0.000 11879.016 11879.016
0.900 0.000 11879.016 11879.016
0.800 0.000 11879.016 11879.016
0.700 0.000 11879.016 11879.016
0.500 0.000 11879.016 11879.016
0.300 0.000 11879.016 11879.016
0.200 0.000 11879.016 11879.016
0.100 0.000 11879.016 11879.016
0.050 0.000 11879.016 11879.016
0.020 0.000 11879.016 11879.016
0.010 0.000 11879.016 11879.016
Bayesian (BIC)
Mean 11977.172
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 11977.172 11977.172
0.980 0.000 11977.172 11977.172
0.950 0.000 11977.172 11977.172
0.900 0.000 11977.172 11977.172
0.800 0.000 11977.172 11977.172
0.700 0.000 11977.172 11977.172
0.500 0.000 11977.172 11977.172
0.300 0.000 11977.172 11977.172
0.200 0.000 11977.172 11977.172
0.100 0.000 11977.172 11977.172
0.050 0.000 11977.172 11977.172
0.020 0.000 11977.172 11977.172
0.010 0.000 11977.172 11977.172
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 11913.650
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 11913.650 11913.650
0.980 0.000 11913.650 11913.650
0.950 0.000 11913.650 11913.650
0.900 0.000 11913.650 11913.650
0.800 0.000 11913.650 11913.650
0.700 0.000 11913.650 11913.650
0.500 0.000 11913.650 11913.650
0.300 0.000 11913.650 11913.650
0.200 0.000 11913.650 11913.650
0.100 0.000 11913.650 11913.650
0.050 0.000 11913.650 11913.650
0.020 0.000 11913.650 11913.650
0.010 0.000 11913.650 11913.650
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 475.25370 0.47525
2 524.74630 0.52475
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 478 0.47800
2 522 0.52200
CLASSIFICATION QUALITY
Entropy 0.796
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.939 0.061
2 0.051 0.949
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.944 0.056
2 0.056 0.944
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.832 0.000
2 -2.832 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Within Level
Latent Class 1
IW |
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
SW |
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
IW ON
X 1.000 1.0227 0.0000 0.0454 0.0005 1.000 1.000
SW ON
X 0.700 0.7056 0.0000 0.0263 0.0000 1.000 1.000
SW WITH
IW 0.000 -0.0322 0.0000 0.0361 0.0010 1.000 0.000
Residual Variances
Y1 0.250 0.2624 0.0000 0.0361 0.0002 1.000 1.000
Y2 0.250 0.2864 0.0000 0.0192 0.0013 1.000 1.000
Y3 0.250 0.2069 0.0000 0.0185 0.0019 0.000 1.000
Y4 0.250 0.3134 0.0000 0.0410 0.0040 1.000 1.000
IW 1.000 0.9119 0.0000 0.0900 0.0078 1.000 1.000
SW 0.400 0.3660 0.0000 0.0198 0.0012 1.000 1.000
Latent Class 2
IW |
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
SW |
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
IW ON
X 1.000 1.0227 0.0000 0.0454 0.0005 1.000 1.000
SW ON
X 0.700 0.7056 0.0000 0.0263 0.0000 1.000 1.000
SW WITH
IW 0.000 -0.0322 0.0000 0.0361 0.0010 1.000 0.000
Residual Variances
Y1 0.250 0.2624 0.0000 0.0361 0.0002 1.000 1.000
Y2 0.250 0.2864 0.0000 0.0192 0.0013 1.000 1.000
Y3 0.250 0.2069 0.0000 0.0185 0.0019 0.000 1.000
Y4 0.250 0.3134 0.0000 0.0410 0.0040 1.000 1.000
IW 1.000 0.9119 0.0000 0.0900 0.0078 1.000 1.000
SW 0.400 0.3660 0.0000 0.0198 0.0012 1.000 1.000
Between Level
Latent Class 1
IB |
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
SB |
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
IB ON
W 0.600 0.5102 0.0000 0.0810 0.0081 1.000 1.000
SB ON
W 0.300 0.2854 0.0000 0.0194 0.0002 1.000 1.000
IB WITH
SB 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Intercepts
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
IB 0.000 -0.0105 0.0000 0.1003 0.0001 1.000 0.000
SB 0.500 0.5028 0.0000 0.0404 0.0000 1.000 1.000
Residual Variances
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
IB 0.500 0.4496 0.0000 0.1119 0.0025 1.000 1.000
SB 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Latent Class 2
IB |
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
SB |
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
IB ON
W 0.600 0.5102 0.0000 0.0810 0.0081 1.000 1.000
SB ON
W 0.300 0.2854 0.0000 0.0194 0.0002 1.000 1.000
IB WITH
SB 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Intercepts
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
IB 3.000 3.0567 0.0000 0.0891 0.0032 1.000 1.000
SB 1.000 0.9952 0.0000 0.0365 0.0000 1.000 1.000
Residual Variances
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
IB 0.500 0.4496 0.0000 0.1119 0.0025 1.000 1.000
SB 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Categorical Latent Variables
Within Level
C#1 ON
X 1.000 1.0556 0.0000 0.1266 0.0031 1.000 1.000
Intercepts
C#1 0.000 0.0407 0.0000 0.1602 0.0017 1.000 0.000
Between Level
C#1 ON
W 1.000 1.0311 0.0000 0.2046 0.0010 1.000 1.000
Residual Variances
C#1 1.000 1.3182 0.0000 0.3822 0.1013 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.959E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
NU
W
________
0
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
LAMBDA
X W
________ ________
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
X 0 0
W 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
X W
________ ________
0 0
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
C#1 0 0 0 0 0
IB 0 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
X W
________ ________
IW 5 0
SW 6 0
C#1 0 0
IB 0 0
SB 0 0
X 0 0
W 0 0
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 7
SW 8 9
C#1 0 0 0
IB 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
X W
________ ________
X 0
W 0 0
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
NU
W
________
0
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
LAMBDA
X W
________ ________
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
X 0 0
W 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
X W
________ ________
0 0
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
C#1 0 0 0 0 0
IB 0 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
X W
________ ________
IW 5 0
SW 6 0
C#1 0 0
IB 0 0
SB 0 0
X 0 0
W 0 0
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 7
SW 8 9
C#1 0 0 0
IB 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
X W
________ ________
X 0
W 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
NU
W
________
0
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
LAMBDA
X W
________ ________
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
X 0 0
W 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0
Y2 0 0
Y3 0 0 0
Y4 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0 0 0 10 11
ALPHA
X W
________ ________
0 0
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
C#1 0 0 0 0 0
IB 0 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
X W
________ ________
IW 0 0
SW 0 0
C#1 0 12
IB 0 13
SB 0 14
X 0 0
W 0 0
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
C#1 0 0 15
IB 0 0 0 16
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
X W
________ ________
X 0
W 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
NU
W
________
0
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
LAMBDA
X W
________ ________
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
X 0 0
W 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0
Y2 0 0
Y3 0 0 0
Y4 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0 0 0 17 18
ALPHA
X W
________ ________
0 0
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
C#1 0 0 0 0 0
IB 0 0 0 0 0
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
X W
________ ________
IW 0 0
SW 0 0
C#1 0 12
IB 0 13
SB 0 14
X 0 0
W 0 0
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
C#1 0 0 15
IB 0 0 0 16
SB 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
X W
________ ________
X 0
W 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
19 0
GAMMA(C)
IW SW C#1 IB SB
________ ________ ________ ________ ________
C#1 0 0 0 0 0
C#2 0 0 0 0 0
GAMMA(C)
X W
________ ________
C#1 20 0
C#2 0 0
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000 0.000
Y2 1.000 1.000 0.000 0.000 0.000
Y3 1.000 2.000 0.000 0.000 0.000
Y4 1.000 3.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.250
Y2 0.000 0.250
Y3 0.000 0.000 0.250
Y4 0.000 0.000 0.000 0.250
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 1.000 0.000
SW 0.700 0.000
C#1 0.000 0.000
IB 0.000 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.400
C#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.500
W 0.000 0.000
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000 0.000
Y2 1.000 1.000 0.000 0.000 0.000
Y3 1.000 2.000 0.000 0.000 0.000
Y4 1.000 3.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.250
Y2 0.000 0.250
Y3 0.000 0.000 0.250
Y4 0.000 0.000 0.000 0.250
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 1.000 0.000
SW 0.700 0.000
C#1 0.000 0.000
IB 0.000 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.400
C#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.500
W 0.000 0.000
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 1.000 1.000
Y3 0.000 0.000 0.000 1.000 2.000
Y4 0.000 0.000 0.000 1.000 3.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.500
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 0.000 0.000
SW 0.000 0.000
C#1 0.000 1.000
IB 0.000 0.600
SB 0.000 0.300
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
C#1 0.000 0.000 1.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.000
W 0.000 0.500
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 1.000 1.000
Y3 0.000 0.000 0.000 1.000 2.000
Y4 0.000 0.000 0.000 1.000 3.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 3.000 1.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 0.000 0.000
SW 0.000 0.000
C#1 0.000 1.000
IB 0.000 0.600
SB 0.000 0.300
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
C#1 0.000 0.000 1.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.000
W 0.000 0.500
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
IW SW C#1 IB SB
________ ________ ________ ________ ________
C#1 0.000 0.000 0.000 0.000 0.000
C#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
C#1 1.000 0.000
C#2 0.000 0.000
POPULATION VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000 0.000
Y2 1.000 1.000 0.000 0.000 0.000
Y3 1.000 2.000 0.000 0.000 0.000
Y4 1.000 3.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.250
Y2 0.000 0.250
Y3 0.000 0.000 0.250
Y4 0.000 0.000 0.000 0.250
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 1.000 0.000
SW 0.700 0.000
C#1 0.000 0.000
IB 0.000 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.400
C#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 1.000
W 0.000 0.000
POPULATION VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 1.000 0.000 0.000 0.000 0.000
Y2 1.000 1.000 0.000 0.000 0.000
Y3 1.000 2.000 0.000 0.000 0.000
Y4 1.000 3.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.250
Y2 0.000 0.250
Y3 0.000 0.000 0.250
Y4 0.000 0.000 0.000 0.250
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 1.000 0.000
SW 0.700 0.000
C#1 0.000 0.000
IB 0.000 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.400
C#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 1.000
W 0.000 0.000
POPULATION VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 1.000 1.000
Y3 0.000 0.000 0.000 1.000 2.000
Y4 0.000 0.000 0.000 1.000 3.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.500
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 0.000 0.000
SW 0.000 0.000
C#1 0.000 1.000
IB 0.000 0.600
SB 0.000 0.300
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
C#1 0.000 0.000 1.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.000
W 0.000 1.000
POPULATION VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
W
________
0.000
LAMBDA
IW SW C#1 IB SB
________ ________ ________ ________ ________
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 1.000 1.000
Y3 0.000 0.000 0.000 1.000 2.000
Y4 0.000 0.000 0.000 1.000 3.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
LAMBDA
X W
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
X 1.000 0.000
W 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
W
________
W 0.000
ALPHA
IW SW C#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 3.000 1.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.000 0.000 0.000 0.000 0.000
C#1 0.000 0.000 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.000 0.000
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
BETA
X W
________ ________
IW 0.000 0.000
SW 0.000 0.000
C#1 0.000 1.000
IB 0.000 0.600
SB 0.000 0.300
X 0.000 0.000
W 0.000 0.000
PSI
IW SW C#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
C#1 0.000 0.000 1.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
X W
________ ________
X 0.000
W 0.000 1.000
POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
IW SW C#1 IB SB
________ ________ ________ ________ ________
C#1 0.000 0.000 0.000 0.000 0.000
C#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
C#1 1.000 0.000
C#2 0.000 0.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.59292651D+04 0.0000000 0.0000000 EM
2 -0.59210840D+04 8.1810917 0.0013798 EM
3 -0.59203785D+04 0.7054745 0.0001191 EM
4 -0.59200449D+04 0.3335964 0.0000563 EM
5 -0.59198590D+04 0.1859110 0.0000314 EM
6 -0.59197438D+04 0.1152118 0.0000195 EM
7 -0.59196681D+04 0.0756617 0.0000128 EM
8 -0.59196171D+04 0.0510562 0.0000086 EM
9 -0.59195822D+04 0.0348590 0.0000059 EM
10 -0.59195583D+04 0.0239061 0.0000040 EM
11 -0.59195419D+04 0.0164062 0.0000028 EM
12 -0.59195306D+04 0.0112528 0.0000019 EM
13 -0.59195229D+04 0.0077001 0.0000013 EM
14 -0.59195177D+04 0.0052551 0.0000009 EM
15 -0.59195141D+04 0.0035731 0.0000006 EM
16 -0.59195117D+04 0.0024187 0.0000004 EM
17 -0.59195101D+04 0.0016278 0.0000003 EM
18 -0.59195090D+04 0.0010880 0.0000002 EM
19 -0.59195082D+04 0.0007206 0.0000001 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y1
Y2
Y3
Y4
X
W
C
CLUSTER
Save file
ex10.9.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:20:41
Ending Time: 22:20:45
Elapsed Time: 00:00:04
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