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 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
4 perturbed starting value run(s) did not converge.
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-13129.013 650371 14
-13129.014 107446 12
-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 -13129.013
H0 Scaling Correction Factor 0.9739
for MLR
Information Criteria
Akaike (AIC) 26294.025
Bayesian (BIC) 26394.842
Sample-Size Adjusted BIC 26337.655
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 1022.83996 0.51142
2 977.16004 0.48858
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 0.990
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 0.001 0.999
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 5.719 0.000
2 -7.561 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 36.215 0.000
SW ON
X 0.233 0.032 7.276 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 22.638 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 36.215 0.000
SW ON
X 0.233 0.032 7.276 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 22.638 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 7.466 0.000
SB ON
W 0.271 0.055 4.898 0.000
SB WITH
IB -0.009 0.031 -0.275 0.783
Means
S 0.484 0.032 15.179 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 0.459 0.646
SB -0.058 0.067 -0.861 0.389
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 7.596 0.000
SB 0.185 0.035 5.280 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 7.466 0.000
SB ON
W 0.271 0.055 4.898 0.000
SB WITH
IB -0.009 0.031 -0.275 0.783
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 18.715 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 7.596 0.000
SB 0.185 0.035 5.280 0.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W 1.189 0.292 4.067 0.000
Intercepts
CB#1 -0.047 0.228 -0.207 0.836
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 -1.189 0.292 -4.067 0.000
Intercepts
CB#2 0.047 0.228 0.207 0.836
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 0.305 0.089 0.172 0.540
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
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20386596D+05 0.0000000 0.0000000 EM
2 -0.13725665D+05 6660.9305869 0.3267309 EM
3 -0.13625446D+05 100.2189073 0.0073016 EM
4 -0.13532081D+05 93.3655331 0.0068523 EM
5 -0.13422077D+05 110.0037921 0.0081291 EM
6 -0.13341564D+05 80.5131259 0.0059986 EM
7 -0.13309971D+05 31.5923953 0.0023680 EM
8 -0.13302677D+05 7.2941821 0.0005480 EM
9 -0.13301987D+05 0.6905172 0.0000519 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.48732801D+05 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.47285198D+05 0.0000000 0.0000000 EM
2 -0.16935504D+05 ************ 0.6418434 EM
3 -0.16389433D+05 546.0711593 0.0322442 EM
4 -0.16055029D+05 334.4041179 0.0204036 EM
5 -0.15901676D+05 153.3525633 0.0095517 EM
6 -0.15719821D+05 181.8551481 0.0114362 EM
7 -0.15673063D+05 46.7583632 0.0029745 EM
8 -0.15629585D+05 43.4774518 0.0027740 EM
9 -0.15585785D+05 43.8002364 0.0028024 EM
10 -0.15541477D+05 44.3081363 0.0028429 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.36615259D+05 0.0000000 0.0000000 EM
2 -0.20555112D+05 ************ 0.4386190 EM
3 -0.19826916D+05 728.1959111 0.0354265 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29475411D+05 0.0000000 0.0000000 EM
2 -0.21561799D+05 7913.6118573 0.2684818 EM
3 -0.19812666D+05 1749.1328094 0.0811218 EM
4 -0.18512616D+05 1300.0500734 0.0656171 EM
5 -0.17320727D+05 1191.8891550 0.0643825 EM
6 -0.16196246D+05 1124.4810927 0.0649211 EM
7 -0.15220314D+05 975.9320654 0.0602567 EM
8 -0.14867007D+05 353.3074210 0.0232129 EM
9 -0.14699987D+05 167.0199971 0.0112343 EM
10 -0.14614340D+05 85.6464443 0.0058263 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24643035D+05 0.0000000 0.0000000 EM
2 -0.14191514D+05 ************ 0.4241166 EM
3 -0.13769320D+05 422.1931189 0.0297497 EM
4 -0.13498060D+05 271.2602816 0.0197003 EM
5 -0.13342815D+05 155.2453875 0.0115013 EM
6 -0.13305822D+05 36.9926064 0.0027725 EM
7 -0.13302214D+05 3.6082012 0.0002712 EM
8 -0.13301968D+05 0.2459378 0.0000185 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41977702D+05 0.0000000 0.0000000 EM
2 -0.16242860D+05 ************ 0.6130598 EM
3 -0.15222893D+05 1019.9666930 0.0627948 EM
4 -0.14395229D+05 827.6636084 0.0543697 EM
5 -0.13846820D+05 548.4097600 0.0380966 EM
6 -0.13550123D+05 296.6968423 0.0214271 EM
7 -0.13347674D+05 202.4487063 0.0149407 EM
8 -0.13203397D+05 144.2774363 0.0108092 EM
9 -0.13145005D+05 58.3917233 0.0044225 EM
10 -0.13133668D+05 11.3371605 0.0008625 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.92578208D+05 0.0000000 0.0000000 EM
2 -0.17235845D+05 ************ 0.8138240 EM
3 -0.16461357D+05 774.4880681 0.0449347 EM
4 -0.16072997D+05 388.3593796 0.0235922 EM
5 -0.15717556D+05 355.4416298 0.0221142 EM
6 -0.15378377D+05 339.1792416 0.0215796 EM
7 -0.14983592D+05 394.7844030 0.0256714 EM
8 -0.14465803D+05 517.7890345 0.0345571 EM
9 -0.13853653D+05 612.1501312 0.0423171 EM
10 -0.13410911D+05 442.7415565 0.0319585 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.27327503D+05 0.0000000 0.0000000 EM
2 -0.16302649D+05 ************ 0.4034344 EM
3 -0.15786461D+05 516.1874183 0.0316628 EM
4 -0.15497213D+05 289.2479364 0.0183225 EM
5 -0.15215508D+05 281.7049352 0.0181778 EM
6 -0.14872597D+05 342.9109396 0.0225369 EM
7 -0.14459497D+05 413.1001143 0.0277759 EM
8 -0.13987261D+05 472.2364628 0.0326593 EM
9 -0.13547862D+05 439.3986155 0.0314142 EM
10 -0.13324894D+05 222.9678092 0.0164578 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41659481D+05 0.0000000 0.0000000 EM
2 -0.21137437D+05 ************ 0.4926140 EM
3 -0.19819972D+05 1317.4650453 0.0623285 EM
4 -0.18477418D+05 1342.5543116 0.0677374 EM
5 -0.16721691D+05 1755.7266893 0.0950201 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.52213629D+05 0.0000000 0.0000000 EM
2 -0.17062155D+05 ************ 0.6732241 EM
3 -0.15725237D+05 1336.9176823 0.0783557 EM
4 -0.14707072D+05 1018.1655741 0.0647472 EM
5 -0.14309778D+05 397.2938011 0.0270138 EM
6 -0.14111180D+05 198.5981991 0.0138785 EM
7 -0.13914996D+05 196.1841334 0.0139027 EM
8 -0.13762209D+05 152.7866930 0.0109800 EM
9 -0.13619587D+05 142.6214620 0.0103633 EM
10 -0.13477073D+05 142.5142421 0.0104639 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41977702D+05 0.0000000 0.0000000 EM
2 -0.16242860D+05 ************ 0.6130598 EM
3 -0.15222893D+05 1019.9666930 0.0627948 EM
4 -0.14395229D+05 827.6636084 0.0543697 EM
5 -0.13846820D+05 548.4097600 0.0380966 EM
6 -0.13550123D+05 296.6968423 0.0214271 EM
7 -0.13347674D+05 202.4487063 0.0149407 EM
8 -0.13203397D+05 144.2774363 0.0108092 EM
9 -0.13145005D+05 58.3917233 0.0044225 EM
10 -0.13133668D+05 11.3371605 0.0008625 EM
11 -0.13130276D+05 3.3917109 0.0002582 EM
12 -0.13129090D+05 1.1854867 0.0000903 EM
13 -0.13129038D+05 0.0525709 0.0000040 EM
14 -0.13129037D+05 0.0005015 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24643035D+05 0.0000000 0.0000000 EM
2 -0.14191514D+05 ************ 0.4241166 EM
3 -0.13769320D+05 422.1931189 0.0297497 EM
4 -0.13498060D+05 271.2602816 0.0197003 EM
5 -0.13342815D+05 155.2453875 0.0115013 EM
6 -0.13305822D+05 36.9926064 0.0027725 EM
7 -0.13302214D+05 3.6082012 0.0002712 EM
8 -0.13301968D+05 0.2459378 0.0000185 EM
9 -0.13301951D+05 0.0165079 0.0000012 EM
10 -0.13301950D+05 0.0012890 0.0000001 EM
11 -0.13301950D+05 0.0001591 0.0000000 EM
Beginning Time: 23:04:14
Ending Time: 23:04:34
Elapsed Time: 00:00:20
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