Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017 4:35 AM
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
1 977.05497 0.48853
2 1022.94503 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 36.214 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 36.214 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
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
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
QUALITY OF NUMERICAL RESULTS
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 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
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.20386596D+05 0.0000000 0.0000000 1000.000 1000.000 EM
2 -0.13725665D+05 6660.9304835 0.3267309 1000.000 1000.000 EM
3 -0.13625446D+05 100.2193035 0.0073016 1000.000 1000.000 EM
4 -0.13532081D+05 93.3653144 0.0068523 1000.000 1000.000 EM
5 -0.13422077D+05 110.0037350 0.0081291 1000.000 1000.000 EM
6 -0.13341564D+05 80.5131162 0.0059986 1000.000 1000.000 EM
7 -0.13309971D+05 31.5923903 0.0023680 1000.000 1000.000 EM
8 -0.13302677D+05 7.2941806 0.0005480 1000.000 1000.000 EM
9 -0.13301987D+05 0.6905166 0.0000519 1000.000 1000.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.26105604D+05 0.0000000 0.0000000 61.828 1938.172 EM
2 -0.15609680D+05 ************ 0.4020563 42.273 1957.727 EM
3 -0.14914647D+05 695.0337303 0.0445258 48.240 1951.760 EM
4 -0.14531974D+05 382.6727091 0.0256575 58.793 1941.207 EM
5 -0.14084785D+05 447.1890786 0.0307728 171.064 1828.936 EM
6 -0.13678980D+05 405.8044944 0.0288116 244.708 1755.292 EM
7 -0.13390738D+05 288.2422051 0.0210719 396.404 1603.596 EM
8 -0.13256740D+05 133.9985217 0.0100068 717.688 1282.312 EM
9 -0.13172987D+05 83.7530830 0.0063178 920.196 1079.804 EM
10 -0.13138986D+05 34.0005489 0.0025811 971.395 1028.605 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.45543690D+05 0.0000000 0.0000000 0.000 2000.000 EM
2 -0.14522156D+05 ************ 0.6811379 0.000 2000.000 EM
3 -0.14110751D+05 411.4055415 0.0283295 0.322 1999.678 EM
4 -0.13857999D+05 252.7519364 0.0179120 2.876 1997.124 EM
5 -0.13570888D+05 287.1105898 0.0207180 18.450 1981.550 EM
6 -0.13372759D+05 198.1296110 0.0145996 56.487 1943.513 EM
7 -0.13300952D+05 71.8071201 0.0053697 151.847 1848.153 EM
8 -0.13277225D+05 23.7266916 0.0017838 302.612 1697.388 EM
9 -0.13234927D+05 42.2979786 0.0031858 628.373 1371.627 EM
10 -0.13173605D+05 61.3218781 0.0046333 885.283 1114.717 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.28914515D+05 0.0000000 0.0000000 0.000 2000.000 EM
2 -0.14172166D+05 ************ 0.5098598 0.000 2000.000 EM
3 -0.13881522D+05 290.6433565 0.0205080 0.000 2000.000 EM
4 -0.13617948D+05 263.5740383 0.0189874 0.000 2000.000 EM
5 -0.13393867D+05 224.0816805 0.0164549 0.000 2000.000 EM
6 -0.13312099D+05 81.7675245 0.0061048 0.000 2000.000 EM
7 -0.13302420D+05 9.6790762 0.0007271 0.000 2000.000 EM
8 -0.13301971D+05 0.4494142 0.0000338 0.000 2000.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.26446542D+05 0.0000000 0.0000000 1899.077 100.923 EM
2 -0.16507118D+05 9939.4245490 0.3758308 1640.456 359.544 EM
3 -0.15921863D+05 585.2553280 0.0354547 1490.836 509.164 EM
4 -0.15698259D+05 223.6033816 0.0140438 1250.220 749.780 EM
5 -0.15546883D+05 151.3766725 0.0096429 1125.589 874.411 EM
6 -0.15409467D+05 137.4151391 0.0088388 1056.314 943.686 EM
7 -0.15273054D+05 136.4130910 0.0088526 1006.734 993.266 EM
8 -0.15134131D+05 138.9236086 0.0090960 960.946 1039.054 EM
9 -0.14987716D+05 146.4151410 0.0096745 923.272 1076.728 EM
10 -0.14829543D+05 158.1726402 0.0105535 894.669 1105.331 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.88948277D+05 0.0000000 0.0000000 1516.554 483.446 EM
2 -0.14940878D+05 ************ 0.8320273 1693.201 306.799 EM
3 -0.14073289D+05 867.5886262 0.0580681 1548.240 451.760 EM
4 -0.13533687D+05 539.6017609 0.0383423 1211.910 788.090 EM
5 -0.13215801D+05 317.8867935 0.0234886 1004.572 995.428 EM
6 -0.13136721D+05 79.0801817 0.0059838 977.230 1022.770 EM
7 -0.13129720D+05 7.0006317 0.0005329 976.996 1023.004 EM
8 -0.13129045D+05 0.6749960 0.0000514 977.040 1022.960 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.39409772D+05 0.0000000 0.0000000 2000.000 0.000 EM
2 -0.16883004D+05 ************ 0.5716036 1690.188 309.812 EM
3 -0.20678851D+05 ************ -0.2248324 1870.965 129.035 EM
4 -0.16433392D+05 4245.4590799 0.2053044 1670.901 329.099 EM
5 -0.15618487D+05 814.9050525 0.0495884 1790.961 209.039 EM
6 -0.15287632D+05 330.8550019 0.0211835 1911.329 88.671 EM
7 -0.14936335D+05 351.2974924 0.0229792 1978.943 21.057 EM
8 -0.14549444D+05 386.8902402 0.0259026 1999.999 0.001 EM
9 -0.14145954D+05 403.4908975 0.0277324 2000.000 0.000 EM
10 -0.13735241D+05 410.7126704 0.0290339 2000.000 0.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.48903826D+05 0.0000000 0.0000000 778.280 1221.720 EM
2 -0.16614504D+05 ************ 0.6602617 1180.313 819.687 EM
3 -0.15749713D+05 864.7906116 0.0520503 1176.058 823.942 EM
4 -0.15484700D+05 265.0135954 0.0168266 1107.354 892.646 EM
5 -0.15296838D+05 187.8613229 0.0121321 1089.047 910.953 EM
6 -0.15145132D+05 151.7059195 0.0099175 1081.628 918.372 EM
7 -0.15004709D+05 140.4238800 0.0092719 1085.392 914.608 EM
8 -0.14864456D+05 140.2528130 0.0093473 1094.589 905.411 EM
9 -0.14721213D+05 143.2423792 0.0096366 1100.529 899.471 EM
10 -0.14572358D+05 148.8549235 0.0101116 1102.650 897.350 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.21555895D+05 0.0000000 0.0000000 1024.120 975.880 EM
2 -0.15729220D+05 5826.6749591 0.2703054 1017.814 982.186 EM
3 -0.15577816D+05 151.4040859 0.0096257 980.095 1019.905 EM
4 -0.15429261D+05 148.5543812 0.0095363 954.466 1045.534 EM
5 -0.15276046D+05 153.2151356 0.0099302 969.276 1030.724 EM
6 -0.15113624D+05 162.4225314 0.0106325 1000.591 999.409 EM
7 -0.14936536D+05 177.0878453 0.0117171 1025.202 974.798 EM
8 -0.14741479D+05 195.0570399 0.0130591 1037.556 962.444 EM
9 -0.14520647D+05 220.8321186 0.0149803 1036.210 963.790 EM
10 -0.14256447D+05 264.1992748 0.0181947 1012.438 987.562 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.42037802D+05 0.0000000 0.0000000 1992.633 7.367 EM
2 -0.16471887D+05 ************ 0.6081649 1697.917 302.083 EM
3 -0.16091254D+05 380.6329170 0.0231080 1402.817 597.183 EM
4 -0.15896418D+05 194.8363235 0.0121082 1124.911 875.089 EM
5 -0.15829513D+05 66.9042297 0.0042088 1150.128 849.872 EM
6 -0.15754351D+05 75.1623237 0.0047482 1102.252 897.748 EM
7 -0.15664955D+05 89.3960952 0.0056744 1063.017 936.983 EM
8 -0.15561757D+05 103.1984298 0.0065879 1041.875 958.125 EM
9 -0.15442224D+05 119.5321980 0.0076812 1030.788 969.212 EM
10 -0.15301482D+05 140.7424000 0.0091141 1023.408 976.592 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.24752463D+05 0.0000000 0.0000000 1979.950 20.050 EM
2 -0.16119243D+05 8633.2198116 0.3487822 1513.849 486.151 EM
3 -0.15821757D+05 297.4867004 0.0184554 1307.145 692.855 EM
4 -0.15625066D+05 196.6902783 0.0124316 1262.773 737.227 EM
5 -0.15528496D+05 96.5708068 0.0061805 1255.719 744.281 EM
6 -0.15454733D+05 73.7630580 0.0047502 1259.970 740.030 EM
7 -0.15381363D+05 73.3695617 0.0047474 1267.834 732.166 EM
8 -0.15303778D+05 77.5851330 0.0050441 1276.558 723.442 EM
9 -0.15220799D+05 82.9787582 0.0054221 1285.873 714.127 EM
10 -0.15132031D+05 88.7677487 0.0058320 1295.773 704.227 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.88948277D+05 0.0000000 0.0000000 1516.554 483.446 EM
2 -0.14940878D+05 ************ 0.8320273 1693.201 306.799 EM
3 -0.14073289D+05 867.5886262 0.0580681 1548.240 451.760 EM
4 -0.13533687D+05 539.6017609 0.0383423 1211.910 788.090 EM
5 -0.13215801D+05 317.8867935 0.0234886 1004.572 995.428 EM
6 -0.13136721D+05 79.0801817 0.0059838 977.230 1022.770 EM
7 -0.13129720D+05 7.0006317 0.0005329 976.996 1023.004 EM
8 -0.13129045D+05 0.6749960 0.0000514 977.040 1022.960 EM
9 -0.13129018D+05 0.0270580 0.0000021 977.066 1022.934 EM
10 -0.13129017D+05 0.0008415 0.0000001 977.055 1022.945 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.26105604D+05 0.0000000 0.0000000 61.828 1938.172 EM
2 -0.15609680D+05 ************ 0.4020563 42.273 1957.727 EM
3 -0.14914647D+05 695.0337303 0.0445258 48.240 1951.760 EM
4 -0.14531974D+05 382.6727091 0.0256575 58.793 1941.207 EM
5 -0.14084785D+05 447.1890786 0.0307728 171.064 1828.936 EM
6 -0.13678980D+05 405.8044944 0.0288116 244.708 1755.292 EM
7 -0.13390738D+05 288.2422051 0.0210719 396.404 1603.596 EM
8 -0.13256740D+05 133.9985217 0.0100068 717.688 1282.312 EM
9 -0.13172987D+05 83.7530830 0.0063178 920.196 1079.804 EM
10 -0.13138986D+05 34.0005489 0.0025811 971.395 1028.605 EM
11 -0.13131971D+05 7.0149013 0.0005339 975.742 1024.258 EM
12 -0.13129590D+05 2.3807922 0.0001813 976.464 1023.536 EM
13 -0.13129046D+05 0.5447997 0.0000415 976.600 1023.400 EM
14 -0.13129037D+05 0.0080726 0.0000006 976.609 1023.391 EM
15 -0.13129037D+05 0.0000769 0.0000000 976.610 1023.390 EM
Beginning Time: 04:35:44
Ending Time: 04:35:59
Elapsed Time: 00:00:15
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