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 sw ON x;
s | 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;
s@0;
%cb#1%
[ib sb s];
%cb#2%
[ib sb s];
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 5
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 S
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
5 perturbed starting value run(s) did not converge.
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-13129.014 107446 12
-13129.015 533738 11
-13129.037 195873 6
-13301.950 903420 5
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 -13129.014
H0 Scaling Correction Factor 0.9740
for MLR
Information Criteria
Akaike (AIC) 26294.027
Bayesian (BIC) 26394.844
Sample-Size Adjusted BIC 26337.657
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 977.13251 0.48857
2 1022.86749 0.51143
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 7.616 0.000
2 -5.719 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
IW ON
X 0.996 0.027 36.216 0.000
SW ON
X 0.233 0.032 7.275 0.000
Residual Variances
Y1 0.495 0.010 50.340 0.000
Y2 0.495 0.010 50.340 0.000
Y3 0.495 0.010 50.340 0.000
Y4 0.495 0.010 50.340 0.000
IW 0.983 0.043 22.637 0.000
SW 0.548 0.020 27.981 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
IW ON
X 0.996 0.027 36.216 0.000
SW ON
X 0.233 0.032 7.275 0.000
Residual Variances
Y1 0.495 0.010 50.340 0.000
Y2 0.495 0.010 50.340 0.000
Y3 0.495 0.010 50.340 0.000
Y4 0.495 0.010 50.340 0.000
IW 0.983 0.043 22.637 0.000
SW 0.548 0.020 27.981 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 0.603 0.081 7.469 0.000
SB ON
W 0.271 0.055 4.898 0.000
SB WITH
IB -0.009 0.031 -0.278 0.781
Means
S -0.051 0.026 -1.993 0.046
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 18.712 0.000
Variances
S 0.000 0.000 999.000 999.000
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 7.595 0.000
SB 0.185 0.035 5.283 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 0.603 0.081 7.469 0.000
SB ON
W 0.271 0.055 4.898 0.000
SB WITH
IB -0.009 0.031 -0.278 0.781
Means
S 0.484 0.032 15.180 0.000
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 0.458 0.647
SB -0.058 0.067 -0.863 0.388
Variances
S 0.000 0.000 999.000 999.000
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 7.595 0.000
SB 0.185 0.035 5.283 0.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W -1.189 0.292 -4.070 0.000
Intercepts
CB#1 0.047 0.228 0.208 0.835
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Parameterization using Reference Class 1
CB#2 ON
W 1.189 0.292 4.070 0.000
Intercepts
CB#2 -0.047 0.228 -0.208 0.835
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
S X W
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
W 0 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
S X W
________ ________ ________
0 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
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
S X W
________ ________ ________
IW 0 2 0
SW 0 3 0
CB#1 0 0 0
IB 0 0 0
SB 0 0 0
S 0 0 0
X 0 0 0
W 0 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 4
SW 0 5
CB#1 0 0 0
IB 0 0 0 0
SB 0 0 0 0 0
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
S X W
________ ________ ________
S 0
X 0 0
W 0 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
S X W
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
W 0 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
S X W
________ ________ ________
0 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
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
S X W
________ ________ ________
IW 0 2 0
SW 0 3 0
CB#1 0 0 0
IB 0 0 0
SB 0 0 0
S 0 0 0
X 0 0 0
W 0 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 4
SW 0 5
CB#1 0 0 0
IB 0 0 0 0
SB 0 0 0 0 0
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
S X W
________ ________ ________
S 0
X 0 0
W 0 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
S X W
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
W 0 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 6 7
ALPHA
S X W
________ ________ ________
8 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
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
S X W
________ ________ ________
IW 0 0 0
SW 0 0 0
CB#1 0 0 0
IB 0 0 9
SB 0 0 10
S 0 0 0
X 0 0 0
W 0 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
CB#1 0 0 0
IB 0 0 0 11
SB 0 0 0 12 13
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
S X W
________ ________ ________
S 0
X 0 0
W 0 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
S X W
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
W 0 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 14 15
ALPHA
S X W
________ ________ ________
16 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
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
BETA
S X W
________ ________ ________
IW 0 0 0
SW 0 0 0
CB#1 0 0 0
IB 0 0 9
SB 0 0 10
S 0 0 0
X 0 0 0
W 0 0 0
PSI
IW SW CB#1 IB SB
________ ________ ________ ________ ________
IW 0
SW 0 0
CB#1 0 0 0
IB 0 0 0 11
SB 0 0 0 12 13
S 0 0 0 0 0
X 0 0 0 0 0
W 0 0 0 0 0
PSI
S X W
________ ________ ________
S 0
X 0 0
W 0 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)
S X W
________ ________ ________
CB#1 0 0 0
CB#2 0 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)
S X W
________ ________ ________
CB#1 0 0 18
CB#2 0 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
S X W
________ ________ ________
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
X 0.000 1.000 0.000
W 0.000 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
S X W
________ ________ ________
0.000 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
S 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
S X W
________ ________ ________
IW 0.000 0.000 0.000
SW 0.000 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000
SB 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
W 0.000 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
S 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
S X W
________ ________ ________
S 0.000
X 0.000 0.518
W 0.000 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
S X W
________ ________ ________
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
X 0.000 1.000 0.000
W 0.000 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
S X W
________ ________ ________
0.000 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
S 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
S X W
________ ________ ________
IW 0.000 0.000 0.000
SW 0.000 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000
SB 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
W 0.000 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
S 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
S X W
________ ________ ________
S 0.000
X 0.000 0.518
W 0.000 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
S X W
________ ________ ________
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
X 0.000 1.000 0.000
W 0.000 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
S X W
________ ________ ________
0.000 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
S 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
S X W
________ ________ ________
IW 0.000 0.000 0.000
SW 0.000 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000
SB 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
W 0.000 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
S 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
S X W
________ ________ ________
S 0.000
X 0.000 0.000
W 0.000 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
S X W
________ ________ ________
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
X 0.000 1.000 0.000
W 0.000 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
S X W
________ ________ ________
0.000 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
S 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
S X W
________ ________ ________
IW 0.000 0.000 0.000
SW 0.000 0.000 0.000
CB#1 0.000 0.000 0.000
IB 0.000 0.000 0.000
SB 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
W 0.000 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
S 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
S X W
________ ________ ________
S 0.000
X 0.000 0.000
W 0.000 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)
S X W
________ ________ ________
CB#1 0.000 0.000 0.000
CB#2 0.000 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)
S X W
________ ________ ________
CB#1 0.000 0.000 0.000
CB#2 0.000 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 6660.9305869 0.3267309 1000.000 1000.000 EM
3 -0.13625446D+05 100.2189073 0.0073016 1000.000 1000.000 EM
4 -0.13532081D+05 93.3655331 0.0068523 1000.000 1000.000 EM
5 -0.13422077D+05 110.0037921 0.0081291 1000.000 1000.000 EM
6 -0.13341564D+05 80.5131259 0.0059986 1000.000 1000.000 EM
7 -0.13309971D+05 31.5923953 0.0023680 1000.000 1000.000 EM
8 -0.13302677D+05 7.2941821 0.0005480 1000.000 1000.000 EM
9 -0.13301987D+05 0.6905172 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 -0.48732801D+05 0.0000000 0.0000000 1534.551 465.449 EM
2 -0.29325326D+05 ************ 0.3982426 1979.209 20.791 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.47285198D+05 0.0000000 0.0000000 0.000 2000.000 EM
2 -0.16935507D+05 ************ 0.6418434 0.000 2000.000 EM
3 -0.16389432D+05 546.0753900 0.0322444 0.000 2000.000 EM
4 -0.16055029D+05 334.4024456 0.0204035 0.000 2000.000 EM
5 -0.15901677D+05 153.3526166 0.0095517 0.000 2000.000 EM
6 -0.15809813D+05 91.8638972 0.0057770 0.000 2000.000 EM
7 -0.15740570D+05 69.2426127 0.0043797 0.000 2000.000 EM
8 -0.15684655D+05 55.9146401 0.0035523 0.000 2000.000 EM
9 -0.15642103D+05 42.5522980 0.0027130 0.000 2000.000 EM
10 -0.15605403D+05 36.7002060 0.0023462 0.000 2000.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.36615259D+05 0.0000000 0.0000000 2000.000 0.000 EM
2 -0.20545434D+05 ************ 0.4388833 2000.000 0.000 EM
3 -0.19811931D+05 733.5031017 0.0357015 2000.000 0.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.29475411D+05 0.0000000 0.0000000 1511.129 488.871 EM
2 -0.21563346D+05 7912.0650402 0.2684293 1444.965 555.035 EM
3 -0.19816531D+05 1746.8148294 0.0810085 1344.864 655.136 EM
4 -0.18532153D+05 1284.3786538 0.0648135 1337.309 662.691 EM
5 -0.17386667D+05 1145.4852562 0.0618107 1419.597 580.403 EM
6 -0.16029316D+05 1357.3514486 0.0780685 1901.929 98.071 EM
7 -0.13541109D+05 2488.2072415 0.1552285 2000.000 0.000 EM
8 -0.13536198D+05 4.9110478 0.0003627 2000.000 0.000 EM
9 -0.13544573D+05 -8.3754687 -0.0006187 2000.000 0.000 EM
10 -0.13502170D+05 42.4029021 0.0031306 2000.000 0.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.24643035D+05 0.0000000 0.0000000 2000.000 0.000 EM
2 -0.14191514D+05 ************ 0.4241166 2000.000 0.000 EM
3 -0.13769319D+05 422.1948214 0.0297498 2000.000 0.000 EM
4 -0.13498058D+05 271.2611363 0.0197004 2000.000 0.000 EM
5 -0.13342814D+05 155.2440966 0.0115012 2000.000 0.000 EM
6 -0.13305822D+05 36.9918619 0.0027724 2000.000 0.000 EM
7 -0.13302214D+05 3.6080186 0.0002712 2000.000 0.000 EM
8 -0.13301968D+05 0.2459013 0.0000185 2000.000 0.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.41977702D+05 0.0000000 0.0000000 1960.000 40.000 EM
2 -0.16242860D+05 ************ 0.6130598 2000.000 0.000 EM
3 -0.15222893D+05 1019.9666940 0.0627948 1975.699 24.301 EM
4 -0.14395229D+05 827.6636167 0.0543697 1669.024 330.976 EM
5 -0.13846820D+05 548.4097644 0.0380966 1431.299 568.701 EM
6 -0.13550123D+05 296.6968278 0.0214271 1178.637 821.363 EM
7 -0.13347674D+05 202.4486954 0.0149407 1093.209 906.791 EM
8 -0.13203397D+05 144.2774310 0.0108092 1044.473 955.527 EM
9 -0.13145005D+05 58.3917402 0.0044225 1024.479 975.521 EM
10 -0.13133668D+05 11.3371609 0.0008625 1023.616 976.384 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.92578208D+05 0.0000000 0.0000000 20.000 1980.000 EM
2 -0.17235845D+05 ************ 0.8138240 0.005 1999.995 EM
3 -0.16461356D+05 774.4889698 0.0449348 0.000 2000.000 EM
4 -0.16072997D+05 388.3591302 0.0235922 0.000 2000.000 EM
5 -0.15717555D+05 355.4419968 0.0221142 0.000 2000.000 EM
6 -0.15378377D+05 339.1778413 0.0215796 0.000 2000.000 EM
7 -0.14983595D+05 394.7822618 0.0256713 0.000 2000.000 EM
8 -0.14465806D+05 517.7884794 0.0345570 0.000 2000.000 EM
9 -0.13853658D+05 612.1484765 0.0423169 0.000 2000.000 EM
10 -0.13410914D+05 442.7438075 0.0319586 0.000 2000.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.27327503D+05 0.0000000 0.0000000 2.980 1997.020 EM
2 -0.16302649D+05 ************ 0.4034344 211.577 1788.423 EM
3 -0.15786461D+05 516.1874183 0.0316628 451.237 1548.763 EM
4 -0.15497213D+05 289.2479365 0.0183225 532.037 1467.963 EM
5 -0.15215508D+05 281.7049352 0.0181778 537.052 1462.948 EM
6 -0.14872597D+05 342.9109396 0.0225369 516.813 1483.187 EM
7 -0.14459497D+05 413.1001149 0.0277759 467.270 1532.730 EM
8 -0.13987261D+05 472.2364613 0.0326593 389.652 1610.348 EM
9 -0.13547862D+05 439.3986160 0.0314142 356.977 1643.023 EM
10 -0.13324894D+05 222.9678151 0.0164578 433.845 1566.155 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.41659481D+05 0.0000000 0.0000000 0.000 2000.000 EM
2 -0.21138647D+05 ************ 0.4925850 0.000 2000.000 EM
3 -0.19864013D+05 1274.6342973 0.0602988 0.000 2000.000 EM
4 -0.18567287D+05 1296.7265181 0.0652802 0.000 2000.000 EM
5 -0.16747029D+05 1820.2578921 0.0980358 0.000 2000.000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.52213629D+05 0.0000000 0.0000000 433.889 1566.111 EM
2 -0.17062155D+05 ************ 0.6732241 219.610 1780.390 EM
3 -0.15725237D+05 1336.9176822 0.0783557 37.640 1962.360 EM
4 -0.14707072D+05 1018.1655778 0.0647472 0.047 1999.953 EM
5 -0.14309778D+05 397.2937797 0.0270138 9.741 1990.259 EM
6 -0.14111180D+05 198.5979728 0.0138785 195.370 1804.630 EM
7 -0.13914996D+05 196.1842181 0.0139028 366.256 1633.744 EM
8 -0.13762209D+05 152.7867529 0.0109800 515.853 1484.147 EM
9 -0.13619587D+05 142.6215504 0.0103633 583.107 1416.893 EM
10 -0.13477074D+05 142.5139451 0.0104639 640.349 1359.651 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.41977702D+05 0.0000000 0.0000000 1960.000 40.000 EM
2 -0.16242860D+05 ************ 0.6130598 2000.000 0.000 EM
3 -0.15222893D+05 1019.9666940 0.0627948 1975.699 24.301 EM
4 -0.14395229D+05 827.6636167 0.0543697 1669.024 330.976 EM
5 -0.13846820D+05 548.4097644 0.0380966 1431.299 568.701 EM
6 -0.13550123D+05 296.6968278 0.0214271 1178.637 821.363 EM
7 -0.13347674D+05 202.4486954 0.0149407 1093.209 906.791 EM
8 -0.13203397D+05 144.2774310 0.0108092 1044.473 955.527 EM
9 -0.13145005D+05 58.3917402 0.0044225 1024.479 975.521 EM
10 -0.13133668D+05 11.3371609 0.0008625 1023.616 976.384 EM
11 -0.13130276D+05 3.3917099 0.0002582 1023.376 976.624 EM
12 -0.13129090D+05 1.1854871 0.0000903 1023.372 976.628 EM
13 -0.13129038D+05 0.0525710 0.0000040 1023.381 976.619 EM
14 -0.13129037D+05 0.0005015 0.0000000 1023.387 976.613 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.24643035D+05 0.0000000 0.0000000 2000.000 0.000 EM
2 -0.14191514D+05 ************ 0.4241166 2000.000 0.000 EM
3 -0.13769319D+05 422.1948214 0.0297498 2000.000 0.000 EM
4 -0.13498058D+05 271.2611363 0.0197004 2000.000 0.000 EM
5 -0.13342814D+05 155.2440966 0.0115012 2000.000 0.000 EM
6 -0.13305822D+05 36.9918619 0.0027724 2000.000 0.000 EM
7 -0.13302214D+05 3.6080186 0.0002712 2000.000 0.000 EM
8 -0.13301968D+05 0.2459013 0.0000185 2000.000 0.000 EM
9 -0.13301951D+05 0.0165085 0.0000012 2000.000 0.000 EM
10 -0.13301950D+05 0.0012884 0.0000001 2000.000 0.000 EM
11 -0.13301950D+05 0.0001592 0.0000000 2000.000 0.000 EM
Beginning Time: 04:35:24
Ending Time: 04:35:44
Elapsed Time: 00:00:20
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