Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:20 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a Monte Carlo simulation study for a
two-level growth model for a continuous outcome (three level analysis)
with a between-level categorical latent variable
montecarlo:
names are y1-y4 x w;
nobservations = 2000;
ncsizes = 1;
csizes = 100(20);
seed = 58459;
genclasses = cb(2 b);
classes = cb(2);
within = x;
between = cb w;
nreps = 1;
save = ex10.8.dat;
ANALYSIS:
TYPE IS TWOLEVEL mixture;
MODEL POPULATION:
%WITHIN%
%overall%
x@1;
iw sw | y1@0 y2@1 y3@2 y4@3;
y1-y4*.5 (1);
iw ON x*1;
sw ON x*.2;
iw*1; sw*.5;
sw on iw*.5;
%cb#2%
sw on iw*0;
%BETWEEN%
%overall%
w@1;
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib ON w*.5;
sb ON w*.2;
ib*.5; sb*.2;
cb#1 on w*1;
%cb#1%
[ib*0 sb*0];
%cb#2%
[ib*1.5 sb*1.5];
MODEL:
%WITHIN%
%overall%
iw sw | y1@0 y2@1 y3@2 y4@3;
y1-y4*.5 (1);
iw ON x*1;
sw ON x*.2;
iw*1; sw*.5;
sw on iw*.5;
%cb#2%
sw on iw*0;
%BETWEEN%
%overall%
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib ON w*.5;
sb ON w*.2;
ib*.5; sb*.2;
cb#1 on w*1;
%cb#1%
[ib*0 sb*0];
%cb#2%
[ib*1.5 sb*1.5];
output:
tech8 tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a Monte Carlo simulation study for a
two-level growth model for a continuous outcome (three level analysis)
with a between-level categorical latent variable
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 2000
Number of replications
Requested 1
Completed 1
Value of seed 58459
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
CB
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
20 100
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.880 1.576 2.260 2.911 0.000
Means
W
________
0.086
Covariances
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 3.506
Y2 4.196 7.485
Y3 5.263 9.641 14.315
Y4 6.432 12.420 18.143 24.555
X 1.029 1.534 1.998 2.501 1.036
W 0.226 0.107 0.072 -0.016 -0.012
Covariances
W
________
W 0.989
Correlations
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1.000
Y2 0.819 1.000
Y3 0.743 0.931 1.000
Y4 0.693 0.916 0.968 1.000
X 0.540 0.551 0.519 0.496 1.000
W 0.121 0.039 0.019 -0.003 -0.011
Correlations
W
________
W 1.000
MODEL FIT INFORMATION
Number of Free Parameters 18
Loglikelihood
H0 Value
Mean -13129.035
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -13129.035 -13129.035
0.980 0.000 -13129.035 -13129.035
0.950 0.000 -13129.035 -13129.035
0.900 0.000 -13129.035 -13129.035
0.800 0.000 -13129.035 -13129.035
0.700 0.000 -13129.035 -13129.035
0.500 0.000 -13129.035 -13129.035
0.300 0.000 -13129.035 -13129.035
0.200 0.000 -13129.035 -13129.035
0.100 0.000 -13129.035 -13129.035
0.050 0.000 -13129.035 -13129.035
0.020 0.000 -13129.035 -13129.035
0.010 0.000 -13129.035 -13129.035
Information Criteria
Akaike (AIC)
Mean 26294.071
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 26294.071 26294.071
0.980 0.000 26294.071 26294.071
0.950 0.000 26294.071 26294.071
0.900 0.000 26294.071 26294.071
0.800 0.000 26294.071 26294.071
0.700 0.000 26294.071 26294.071
0.500 0.000 26294.071 26294.071
0.300 0.000 26294.071 26294.071
0.200 0.000 26294.071 26294.071
0.100 0.000 26294.071 26294.071
0.050 0.000 26294.071 26294.071
0.020 0.000 26294.071 26294.071
0.010 0.000 26294.071 26294.071
Bayesian (BIC)
Mean 26394.887
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 26394.887 26394.887
0.980 0.000 26394.887 26394.887
0.950 0.000 26394.887 26394.887
0.900 0.000 26394.887 26394.887
0.800 0.000 26394.887 26394.887
0.700 0.000 26394.887 26394.887
0.500 0.000 26394.887 26394.887
0.300 0.000 26394.887 26394.887
0.200 0.000 26394.887 26394.887
0.100 0.000 26394.887 26394.887
0.050 0.000 26394.887 26394.887
0.020 0.000 26394.887 26394.887
0.010 0.000 26394.887 26394.887
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 26337.700
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 26337.700 26337.700
0.980 0.000 26337.700 26337.700
0.950 0.000 26337.700 26337.700
0.900 0.000 26337.700 26337.700
0.800 0.000 26337.700 26337.700
0.700 0.000 26337.700 26337.700
0.500 0.000 26337.700 26337.700
0.300 0.000 26337.700 26337.700
0.200 0.000 26337.700 26337.700
0.100 0.000 26337.700 26337.700
0.050 0.000 26337.700 26337.700
0.020 0.000 26337.700 26337.700
0.010 0.000 26337.700 26337.700
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 1023.33752 0.51167
2 976.66248 0.48833
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 1020 0.51000
2 980 0.49000
CLASSIFICATION QUALITY
Entropy 0.991
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 1.000 0.000
2 0.003 0.997
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.997 0.003
2 0.000 1.000
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 5.706 0.000
2 -9.775 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
SW ON
IW 0.500 0.4835 0.0000 0.0319 0.0003 1.000 1.000
IW ON
X 1.000 0.9957 0.0000 0.0275 0.0000 1.000 1.000
SW ON
X 0.200 0.2327 0.0000 0.0320 0.0011 1.000 1.000
Residual Variances
Y1 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y2 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y3 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y4 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
IW 1.000 0.9832 0.0000 0.0434 0.0003 1.000 1.000
SW 0.500 0.5477 0.0000 0.0196 0.0023 0.000 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
SW ON
IW 0.000 -0.0516 0.0000 0.0258 0.0027 0.000 1.000
IW ON
X 1.000 0.9957 0.0000 0.0275 0.0000 1.000 1.000
SW ON
X 0.200 0.2327 0.0000 0.0320 0.0011 1.000 1.000
Residual Variances
Y1 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y2 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y3 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
Y4 0.500 0.4951 0.0000 0.0098 0.0000 1.000 1.000
IW 1.000 0.9832 0.0000 0.0434 0.0003 1.000 1.000
SW 0.500 0.5477 0.0000 0.0196 0.0023 0.000 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 0.500 0.6017 0.0000 0.0802 0.0103 1.000 1.000
SB ON
W 0.200 0.2700 0.0000 0.0548 0.0049 1.000 1.000
SB WITH
IB 0.000 -0.0086 0.0000 0.0311 0.0001 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 0.0519 0.0000 0.1105 0.0027 1.000 0.000
SB 0.000 -0.0566 0.0000 0.0667 0.0032 1.000 0.000
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 0.4699 0.0000 0.0619 0.0009 1.000 1.000
SB 0.200 0.1851 0.0000 0.0351 0.0002 1.000 1.000
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 0.500 0.6017 0.0000 0.0802 0.0103 1.000 1.000
SB ON
W 0.200 0.2700 0.0000 0.0548 0.0049 1.000 1.000
SB WITH
IB 0.000 -0.0086 0.0000 0.0311 0.0001 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 1.500 1.6631 0.0000 0.1073 0.0266 1.000 1.000
SB 1.500 1.4062 0.0000 0.0751 0.0088 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 0.4699 0.0000 0.0619 0.0009 1.000 1.000
SB 0.200 0.1851 0.0000 0.0351 0.0002 1.000 1.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W 1.000 1.1849 0.0000 0.2901 0.0342 1.000 1.000
Intercepts
CB#1 0.000 -0.0455 0.0000 0.2273 0.0021 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.175E-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 CB#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 1
Y3 0 0 1
Y4 0 0 0 1
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
X W
________ ________
0 0
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 3 0 0 0 0
CB#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 2 0
SW 4 0
CB#1 0 0
IB 0 0
SB 0 0
X 0 0
W 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 5
SW 0 6
CB#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 CB#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 1
Y3 0 0 1
Y4 0 0 0 1
X 0 0 0 0 0
W 0 0 0 0 0
THETA
W
________
W 0
ALPHA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
X W
________ ________
0 0
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 7 0 0 0 0
CB#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 2 0
SW 4 0
CB#1 0 0
IB 0 0
SB 0 0
X 0 0
W 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 5
SW 0 6
CB#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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0 0 0 8 9
ALPHA
X W
________ ________
0 0
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
CB#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
CB#1 0 0
IB 0 10
SB 0 11
X 0 0
W 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
CB#1 0 0 0
IB 0 0 0 12
SB 0 0 0 13 14
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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0 0 0 15 16
ALPHA
X W
________ ________
0 0
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0 0 0 0 0
SW 0 0 0 0 0
CB#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
CB#1 0 0
IB 0 10
SB 0 11
X 0 0
W 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
CB#1 0 0 0
IB 0 0 0 12
SB 0 0 0 13 14
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 (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0 0
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
CB#2 0 0 0 0 0
GAMMA(C)
X W
________ ________
CB#1 0 0
CB#2 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
17 0
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
CB#2 0 0 0 0 0
GAMMA(C)
X W
________ ________
CB#1 0 18
CB#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 CB#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 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.500 0.000 0.000 0.000 0.000
CB#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 0.200 0.000
CB#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 CB#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.500
CB#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 CB#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 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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 0.200 0.000
CB#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 CB#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.500
CB#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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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
CB#1 0.000 0.000
IB 0.000 0.500
SB 0.000 0.200
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.200
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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 1.500 1.500
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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
CB#1 0.000 0.000
IB 0.000 0.500
SB 0.000 0.200
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.200
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 (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
CB#1 0.000 0.000
CB#2 0.000 0.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
CB#1 0.000 1.000
CB#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 CB#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 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000 0.000 0.000 0.000 0.000
SW 0.500 0.000 0.000 0.000 0.000
CB#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 0.200 0.000
CB#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 CB#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.500
CB#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 CB#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 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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 0.200 0.000
CB#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 CB#1 IB SB
________ ________ ________ ________ ________
IW 1.000
SW 0.000 0.500
CB#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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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
CB#1 0.000 0.000
IB 0.000 0.500
SB 0.000 0.200
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.200
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 CB#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 CB#1 IB SB
________ ________ ________ ________ ________
0.000 0.000 0.000 1.500 1.500
ALPHA
X W
________ ________
0.000 0.000
BETA
IW SW CB#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
CB#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
CB#1 0.000 0.000
IB 0.000 0.500
SB 0.000 0.200
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.000
SW 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000 0.500
SB 0.000 0.000 0.000 0.000 0.200
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 (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
CB#1 0.000 0.000
CB#2 0.000 0.000
POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
IW SW CB#1 IB SB
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
GAMMA(C)
X W
________ ________
CB#1 0.000 1.000
CB#2 0.000 0.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.13137306D+05 0.0000000 0.0000000 EM
2 -0.13129176D+05 8.1301791 0.0006189 EM
3 -0.13129035D+05 0.1407713 0.0000107 EM
4 -0.13129032D+05 0.0028670 0.0000002 EM
5 -0.13129035D+05 -0.0032966 -0.0000003 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y1
Y2
Y3
Y4
X
W
CB
CLUSTER
Save file
ex10.8.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:20:38
Ending Time: 22:20:41
Elapsed Time: 00:00:03
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