Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:04 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a two-level growth
model for a continuous outcome (three-level analysis)
with a between-level categorical latent variable
DATA: FILE = ex10.8.dat;
VARIABLE: NAMES ARE y1-y4 x w dummy clus;
USEVARIABLES = y1-w;
CLASSES = cb(2);
WITHIN = x;
BETWEEN = cb w;
CLUSTER = clus;
ANALYSIS: TYPE IS TWOLEVEL MIXTURE RANDOM;
PROCESSORS = 2;
MODEL:
%WITHIN%
%OVERALL%
iw sw | y1@0 y2@1 y3@2 y4@3;
y1-y4 (1);
iw ON x;
sw ON x iw;
%cb#1%
sw ON iw;
%cb#2%
sw ON iw;
%BETWEEN%
%OVERALL%
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib sb ON w;
cb ON w;
%cb#1%
[ib sb];
%cb#2%
[ib sb];
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of 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 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
Cluster variable CLUS
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
Random Starts Specifications
Number of initial stage random starts 20
Number of final stage optimizations 4
Number of initial stage iterations 10
Initial stage convergence criterion 0.100D+01
Random starts scale 0.500D+01
Random seed for generating random starts 0
Cholesky OFF
Input data file(s)
ex10.8.dat
Input data format FREE
SUMMARY OF DATA
Number of clusters 100
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 0.880 0.081 -5.018 0.05% -0.781 0.389 0.885
2000.000 3.506 -0.121 7.245 0.05% 1.363 2.427
Y2 1.576 -0.203 -7.083 0.05% -0.773 1.054 1.726
2000.000 7.485 -0.206 10.102 0.05% 2.398 3.987
Y3 2.260 -0.288 -11.603 0.05% -1.106 1.611 2.534
2000.000 14.315 -0.189 14.311 0.05% 3.512 5.495
Y4 2.911 -0.329 -15.525 0.05% -1.317 2.087 3.404
2000.000 24.555 -0.080 18.619 0.05% 4.637 7.136
X 0.000 -0.056 -3.052 0.05% -0.889 -0.254 0.035
2000.000 1.036 -0.288 3.274 0.05% 0.281 0.883
W 0.086 -0.016 -2.583 1.00% -0.852 -0.159 0.156
100.000 0.989 -0.112 2.696 1.00% 0.321 0.896
RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-13129.017 903420 5
-13129.037 285380 1
-13129.037 107446 12
-13129.037 533738 11
THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED. RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 18
Loglikelihood
H0 Value -13129.017
H0 Scaling Correction Factor 0.9740
for MLR
Information Criteria
Akaike (AIC) 26294.034
Bayesian (BIC) 26394.850
Sample-Size Adjusted BIC 26337.663
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 977.05492 0.48853
2 1022.94508 0.51147
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 980 0.49000
2 1020 0.51000
CLASSIFICATION QUALITY
Entropy 0.990
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.997 0.003
2 0.000 1.000
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 1.000 0.000
2 0.003 0.997
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 7.744 0.000
2 -5.713 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Within Level
Latent Class 1
IW |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
SW |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
SW ON
IW -0.052 0.026 -1.998 0.046
IW ON
X 0.996 0.027 36.215 0.000
SW ON
X 0.233 0.032 7.278 0.000
Residual Variances
Y1 0.495 0.010 50.339 0.000
Y2 0.495 0.010 50.339 0.000
Y3 0.495 0.010 50.339 0.000
Y4 0.495 0.010 50.339 0.000
IW 0.983 0.043 22.638 0.000
SW 0.548 0.020 27.974 0.000
Latent Class 2
IW |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
SW |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
SW ON
IW 0.483 0.032 15.178 0.000
IW ON
X 0.996 0.027 36.215 0.000
SW ON
X 0.233 0.032 7.278 0.000
Residual Variances
Y1 0.495 0.010 50.339 0.000
Y2 0.495 0.010 50.339 0.000
Y3 0.495 0.010 50.339 0.000
Y4 0.495 0.010 50.339 0.000
IW 0.983 0.043 22.638 0.000
SW 0.548 0.020 27.974 0.000
Between Level
Latent Class 1
IB |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
SB |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
IB ON
W 0.602 0.081 7.472 0.000
SB ON
W 0.271 0.055 4.897 0.000
SB WITH
IB -0.008 0.031 -0.260 0.795
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
IB 1.663 0.107 15.499 0.000
SB 1.406 0.075 18.718 0.000
Residual Variances
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
IB 0.470 0.062 7.593 0.000
SB 0.185 0.035 5.291 0.000
Latent Class 2
IB |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
SB |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
IB ON
W 0.602 0.081 7.472 0.000
SB ON
W 0.271 0.055 4.897 0.000
SB WITH
IB -0.008 0.031 -0.260 0.795
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
IB 0.051 0.111 0.463 0.643
SB -0.057 0.067 -0.856 0.392
Residual Variances
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
IB 0.470 0.062 7.593 0.000
SB 0.185 0.035 5.291 0.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W -1.188 0.292 -4.072 0.000
Intercepts
CB#1 0.047 0.228 0.206 0.837
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.175E-03
(ratio of smallest to largest eigenvalue)
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Parameterization using Reference Class 1
CB#2 ON
W 1.188 0.292 4.072 0.000
Intercepts
CB#2 -0.047 0.228 -0.206 0.837
ODDS RATIO FOR THE ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Parameterization using Reference Class 1
CB#2 ON
W 3.281 0.957 1.852 5.812
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 1.753
Y2 0.000 3.743
Y3 0.000 0.000 7.157
Y4 0.000 0.000 0.000 12.278
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 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.050
SW 0.000 0.050
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 0.518
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 1.753
Y2 0.000 3.743
Y3 0.000 0.000 7.157
Y4 0.000 0.000 0.000 12.278
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 0.000
SB 0.000 0.000
X 0.000 0.000
W 0.000 0.000
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0.050
SW 0.000 0.050
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 0.518
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 0.000
SB 0.000 0.000
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 0.050
SB 0.000 0.000 0.000 0.000 0.050
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 0.495
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 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 0.000
SB 0.000 0.000
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 0.050
SB 0.000 0.000 0.000 0.000 0.050
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 0.495
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 0.000
CB#2 0.000 0.000
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20386596D+05 0.0000000 0.0000000 EM
2 -0.13725665D+05 6660.9304835 0.3267309 EM
3 -0.13625446D+05 100.2193035 0.0073016 EM
4 -0.13532081D+05 93.3653144 0.0068523 EM
5 -0.13422077D+05 110.0037350 0.0081291 EM
6 -0.13341564D+05 80.5131162 0.0059986 EM
7 -0.13309971D+05 31.5923903 0.0023680 EM
8 -0.13302677D+05 7.2941806 0.0005480 EM
9 -0.13301987D+05 0.6905166 0.0000519 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26105604D+05 0.0000000 0.0000000 EM
2 -0.15609680D+05 ************ 0.4020563 EM
3 -0.14914647D+05 695.0337303 0.0445258 EM
4 -0.14531974D+05 382.6727091 0.0256575 EM
5 -0.14084785D+05 447.1890787 0.0307728 EM
6 -0.13678980D+05 405.8044937 0.0288116 EM
7 -0.13390738D+05 288.2422674 0.0210719 EM
8 -0.13256740D+05 133.9985267 0.0100068 EM
9 -0.13172987D+05 83.7531000 0.0063178 EM
10 -0.13138986D+05 34.0004705 0.0025811 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.45543690D+05 0.0000000 0.0000000 EM
2 -0.14522156D+05 ************ 0.6811379 EM
3 -0.14110751D+05 411.4055421 0.0283295 EM
4 -0.13857999D+05 252.7519260 0.0179120 EM
5 -0.13570888D+05 287.1106647 0.0207180 EM
6 -0.13372759D+05 198.1296174 0.0145996 EM
7 -0.13300952D+05 71.8070277 0.0053696 EM
8 -0.13277225D+05 23.7266939 0.0017838 EM
9 -0.13234927D+05 42.2979587 0.0031858 EM
10 -0.13173605D+05 61.3221092 0.0046334 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28914515D+05 0.0000000 0.0000000 EM
2 -0.14175764D+05 ************ 0.5097354 EM
3 -0.13885208D+05 290.5562503 0.0204967 EM
4 -0.13620029D+05 265.1785610 0.0190979 EM
5 -0.13390244D+05 229.7849267 0.0168711 EM
6 -0.13304288D+05 85.9558941 0.0064193 EM
7 -0.13278124D+05 26.1642043 0.0019666 EM
8 -0.13255071D+05 23.0527502 0.0017361 EM
9 -0.13224566D+05 30.5052842 0.0023014 EM
10 -0.13185172D+05 39.3936717 0.0029788 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26446542D+05 0.0000000 0.0000000 EM
2 -0.16507118D+05 9939.4245490 0.3758308 EM
3 -0.15921863D+05 585.2553280 0.0354547 EM
4 -0.15698259D+05 223.6033802 0.0140438 EM
5 -0.15546883D+05 151.3766718 0.0096429 EM
6 -0.15409467D+05 137.4151382 0.0088388 EM
7 -0.15273054D+05 136.4130899 0.0088526 EM
8 -0.15134131D+05 138.9236078 0.0090960 EM
9 -0.14987716D+05 146.4149019 0.0096745 EM
10 -0.14829543D+05 158.1725121 0.0105535 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.88948277D+05 0.0000000 0.0000000 EM
2 -0.14940878D+05 ************ 0.8320273 EM
3 -0.14073289D+05 867.5886262 0.0580681 EM
4 -0.13533687D+05 539.6017609 0.0383423 EM
5 -0.13215801D+05 317.8867932 0.0234886 EM
6 -0.13136721D+05 79.0801820 0.0059838 EM
7 -0.13129720D+05 7.0006317 0.0005329 EM
8 -0.13129045D+05 0.6749960 0.0000514 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.39409772D+05 0.0000000 0.0000000 EM
2 -0.17096005D+05 ************ 0.5661988 EM
3 -0.27189592D+05 ************ -0.5904062 EM
4 -0.16374237D+05 ************ 0.3977755 EM
5 -0.15243101D+05 1131.1360703 0.0690802 EM
6 -0.14842594D+05 400.5074514 0.0262747 EM
7 -0.14481792D+05 360.8018033 0.0243085 EM
8 -0.14070603D+05 411.1886556 0.0283935 EM
9 -0.13646302D+05 424.3015891 0.0301552 EM
10 -0.13371080D+05 275.2218326 0.0201682 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.48903826D+05 0.0000000 0.0000000 EM
2 -0.16614504D+05 ************ 0.6602617 EM
3 -0.15749713D+05 864.7905730 0.0520503 EM
4 -0.15484700D+05 265.0136494 0.0168266 EM
5 -0.15296838D+05 187.8615033 0.0121321 EM
6 -0.15145132D+05 151.7057008 0.0099175 EM
7 -0.15004709D+05 140.4237386 0.0092719 EM
8 -0.14864456D+05 140.2525293 0.0093472 EM
9 -0.14721214D+05 143.2420512 0.0096365 EM
10 -0.14572360D+05 148.8545086 0.0101116 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21555895D+05 0.0000000 0.0000000 EM
2 -0.15729220D+05 5826.6749591 0.2703054 EM
3 -0.15577816D+05 151.4040859 0.0096257 EM
4 -0.15429261D+05 148.5543812 0.0095363 EM
5 -0.15276046D+05 153.2151356 0.0099302 EM
6 -0.15113624D+05 162.4225314 0.0106325 EM
7 -0.14936536D+05 177.0878453 0.0117171 EM
8 -0.14741479D+05 195.0570399 0.0130591 EM
9 -0.14520647D+05 220.8321186 0.0149803 EM
10 -0.14256447D+05 264.1992745 0.0181947 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.42037802D+05 0.0000000 0.0000000 EM
2 -0.16471887D+05 ************ 0.6081649 EM
3 -0.16091254D+05 380.6329170 0.0231080 EM
4 -0.15896418D+05 194.8363235 0.0121082 EM
5 -0.15829513D+05 66.9042297 0.0042088 EM
6 -0.15754351D+05 75.1623237 0.0047482 EM
7 -0.15664955D+05 89.3960952 0.0056744 EM
8 -0.15561757D+05 103.1984298 0.0065879 EM
9 -0.15442224D+05 119.5321977 0.0076812 EM
10 -0.15301482D+05 140.7423447 0.0091141 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24752463D+05 0.0000000 0.0000000 EM
2 -0.16119243D+05 8633.2198115 0.3487822 EM
3 -0.15821757D+05 297.4866998 0.0184554 EM
4 -0.15625066D+05 196.6902791 0.0124316 EM
5 -0.15528496D+05 96.5708071 0.0061805 EM
6 -0.15454733D+05 73.7630571 0.0047502 EM
7 -0.15381363D+05 73.3695623 0.0047474 EM
8 -0.15303778D+05 77.5851315 0.0050441 EM
9 -0.15220799D+05 82.9787578 0.0054221 EM
10 -0.15132031D+05 88.7677405 0.0058320 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.88948277D+05 0.0000000 0.0000000 EM
2 -0.14940878D+05 ************ 0.8320273 EM
3 -0.14073289D+05 867.5886262 0.0580681 EM
4 -0.13533687D+05 539.6017609 0.0383423 EM
5 -0.13215801D+05 317.8867932 0.0234886 EM
6 -0.13136721D+05 79.0801820 0.0059838 EM
7 -0.13129720D+05 7.0006317 0.0005329 EM
8 -0.13129045D+05 0.6749960 0.0000514 EM
9 -0.13129018D+05 0.0270562 0.0000021 EM
10 -0.13129017D+05 0.0008422 0.0000001 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26105604D+05 0.0000000 0.0000000 EM
2 -0.15609680D+05 ************ 0.4020563 EM
3 -0.14914647D+05 695.0337303 0.0445258 EM
4 -0.14531974D+05 382.6727091 0.0256575 EM
5 -0.14084785D+05 447.1890787 0.0307728 EM
6 -0.13678980D+05 405.8044937 0.0288116 EM
7 -0.13390738D+05 288.2422674 0.0210719 EM
8 -0.13256740D+05 133.9985267 0.0100068 EM
9 -0.13172987D+05 83.7531000 0.0063178 EM
10 -0.13138986D+05 34.0004705 0.0025811 EM
11 -0.13131971D+05 7.0149182 0.0005339 EM
12 -0.13129590D+05 2.3807932 0.0001813 EM
13 -0.13129046D+05 0.5447770 0.0000415 EM
14 -0.13129037D+05 0.0080727 0.0000006 EM
15 -0.13129037D+05 0.0000766 0.0000000 EM
Beginning Time: 23:04:34
Ending Time: 23:04:47
Elapsed Time: 00:00:13
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