Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:57 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a two-level mixture
regression for a continuous dependent variable with
between-level categorical latent class indicators
for a between-level categorical latent variable
DATA: FILE = ex10.3.dat;
VARIABLE: NAMES ARE u1-u6 y x1 x2 w dummy clus;
USEVARIABLES = u1-w;
CATEGORICAL = u1-u6; CLASSES = cb(2);
WITHIN = x1 x2;
BETWEEN = cb w u1-u6;
CLUSTER = clus;
ANALYSIS: TYPE = TWOLEVEL MIXTURE;
PROCESSORS = 2;
MODEL:
%WITHIN%
%OVERALL%
y ON x1 x2;
%BETWEEN%
%OVERALL%
cb ON w;
y ON w;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a two-level mixture
regression for a continuous dependent variable with
between-level categorical latent class indicators
for a between-level categorical latent variable
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 7
Number of independent variables 3
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5 U6
Observed independent variables
X1 X2 W
Categorical latent variables
CB
Variables with special functions
Cluster variable CLUS
Within variables
X1 X2
Between variables
U1 U2 U3 U4 U5 U6
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 1
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
Link LOGIT
Cholesky OFF
Input data file(s)
ex10.3.dat
Input data format FREE
SUMMARY OF DATA
Number of clusters 110
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.518 57.000
Category 2 0.482 53.000
U2
Category 1 0.518 57.000
Category 2 0.482 53.000
U3
Category 1 0.627 69.000
Category 2 0.373 41.000
U4
Category 1 0.509 56.000
Category 2 0.491 54.000
U5
Category 1 0.455 50.000
Category 2 0.545 60.000
U6
Category 1 0.500 55.000
Category 2 0.500 55.000
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
Y 1.487 -0.080 -9.293 0.10% -0.866 0.810 1.531
1000.000 7.718 0.106 10.374 0.10% 2.257 3.885
X1 -0.024 -0.022 -3.006 0.10% -0.887 -0.320 -0.036
1000.000 1.008 -0.185 3.145 0.10% 0.237 0.860
X2 -0.055 -0.036 -3.111 0.10% -0.903 -0.306 -0.051
1000.000 0.961 -0.141 2.811 0.10% 0.206 0.780
W -0.084 -0.367 -2.894 0.91% -0.853 -0.241 -0.033
110.000 0.947 0.046 1.927 0.91% 0.174 0.720
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:
-1944.220 76974 16
-1944.220 462953 7
-1944.222 939021 8
-1988.223 68985 17
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 21
Loglikelihood
H0 Value -1944.220
H0 Scaling Correction Factor 1.0332
for MLR
Information Criteria
Akaike (AIC) 3930.440
Bayesian (BIC) 4033.503
Sample-Size Adjusted BIC 3966.806
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 432.25177 0.43225
2 567.74823 0.56775
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 425 0.42500
2 575 0.57500
CLASSIFICATION QUALITY
Entropy 0.795
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.948 0.052
2 0.051 0.949
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.932 0.068
2 0.039 0.961
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.622 0.000
2 -3.210 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Within Level
Latent Class 1
Y ON
X1 1.958 0.033 59.963 0.000
X2 0.976 0.034 28.808 0.000
Residual Variances
Y 1.008 0.045 22.194 0.000
Latent Class 2
Y ON
X1 1.958 0.033 59.963 0.000
X2 0.976 0.034 28.808 0.000
Residual Variances
Y 1.008 0.045 22.194 0.000
Between Level
Latent Class 1
Y ON
W 0.718 0.127 5.648 0.000
Intercepts
Y 0.903 0.242 3.723 0.000
Thresholds
U1$1 1.513 0.584 2.590 0.010
U2$1 1.263 0.404 3.128 0.002
U3$1 1.940 0.511 3.796 0.000
U4$1 -0.650 0.328 -1.979 0.048
U5$1 -1.120 0.386 -2.905 0.004
U6$1 -0.979 0.355 -2.754 0.006
Residual Variances
Y 0.497 0.111 4.456 0.000
Latent Class 2
Y ON
W 0.718 0.127 5.648 0.000
Intercepts
Y 2.164 0.113 19.113 0.000
Thresholds
U1$1 -0.960 0.316 -3.038 0.002
U2$1 -0.805 0.372 -2.166 0.030
U3$1 -0.285 0.306 -0.929 0.353
U4$1 0.585 0.334 1.752 0.080
U5$1 0.496 0.369 1.344 0.179
U6$1 0.762 0.380 2.003 0.045
Residual Variances
Y 0.497 0.111 4.456 0.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W -1.432 0.541 -2.648 0.008
Intercepts
CB#1 -0.383 0.447 -0.858 0.391
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.275E-02
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Estimate
Within Level
Between Level
Latent Class 1
U1
Category 1 0.819
Category 2 0.181
U2
Category 1 0.780
Category 2 0.220
U3
Category 1 0.874
Category 2 0.126
U4
Category 1 0.343
Category 2 0.657
U5
Category 1 0.246
Category 2 0.754
U6
Category 1 0.273
Category 2 0.727
Latent Class 2
U1
Category 1 0.277
Category 2 0.723
U2
Category 1 0.309
Category 2 0.691
U3
Category 1 0.429
Category 2 0.571
U4
Category 1 0.642
Category 2 0.358
U5
Category 1 0.622
Category 2 0.378
U6
Category 1 0.682
Category 2 0.318
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 1.432 0.541 2.648 0.008
Intercepts
CB#2 0.383 0.447 0.858 0.391
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 4.186 2.263 1.451 12.079
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0 0 0 0 0
U2 0 0 0 0 0
U3 0 0 0 0 0
U4 0 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 1 2 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0 0 0 0 0
U2 0 0 0 0 0
U3 0 0 0 0 0
U4 0 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 1 2 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0 0 0 0 0
U2 0 0 0 0 0
U3 0 0 0 0 0
U4 0 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 4 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 5
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 6
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0 0 0 0 0
U2 0 0 0 0 0
U3 0 0 0 0 0
U4 0 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0
Y 0 0
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 7 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 5
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 6
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART (WITHIN)
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
0 0 0 0 0
TAU(U) FOR LATENT CLASS 1
U6$1
________
0
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
0 0 0 0 0
TAU(U) FOR LATENT CLASS 2
U6$1
________
0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART (BETWEEN)
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
8 9 10 11 12
TAU(U) FOR LATENT CLASS 1
U6$1
________
13
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
14 15 16 17 18
TAU(U) FOR LATENT CLASS 2
U6$1
________
19
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
CB#2 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
20 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 21
CB#2 0 0 0 0 0
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0.000 0.000 0.000 0.000 0.000
U2 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0.000
U2 0.000 0.000
U3 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.859
X1 0.000 0.000 0.504
X2 0.000 0.000 0.000 0.480
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0.000 0.000 0.000 0.000 0.000
U2 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0.000
U2 0.000 0.000
U3 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 0.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.859
X1 0.000 0.000 0.504
X2 0.000 0.000 0.000 0.480
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0.000 0.000 0.000 0.000 0.000
U2 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 1.000
U2 0.000 1.000
U3 0.000 0.000 1.000
U4 0.000 0.000 0.000 1.000
U5 0.000 0.000 0.000 0.000 1.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 1.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 -1.291 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.859
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.471
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U6 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
U1 0.000 0.000 0.000 0.000 0.000
U2 0.000 0.000 0.000 0.000 0.000
U3 0.000 0.000 0.000 0.000 0.000
U4 0.000 0.000 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 1.000
U2 0.000 1.000
U3 0.000 0.000 1.000
U4 0.000 0.000 0.000 1.000
U5 0.000 0.000 0.000 0.000 1.000
U6 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
THETA
U6 Y X1 X2 W
________ ________ ________ ________ ________
U6 1.000
Y 0.000 0.000
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 4.265 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.859
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.471
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART (WITHIN)
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 1
U6$1
________
0.000
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
TAU(U) FOR LATENT CLASS 2
U6$1
________
0.000
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART (BETWEEN)
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
-0.927 -0.927 -0.479 -0.964 -1.182
TAU(U) FOR LATENT CLASS 1
U6$1
________
-1.000
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
1.073 1.073 1.521 1.036 0.818
TAU(U) FOR LATENT CLASS 2
U6$1
________
1.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 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)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 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 -0.29517169D+04 0.0000000 0.0000000 EM
2 -0.21566311D+04 795.0857154 0.2693638 EM
3 -0.20644506D+04 92.1805809 0.0427429 EM
4 -0.20318971D+04 32.5534378 0.0157686 EM
5 -0.20220288D+04 9.8683251 0.0048567 EM
6 -0.20188821D+04 3.1466938 0.0015562 EM
7 -0.20216797D+04 -2.7976438 -0.0013857 EM
8 -0.20136428D+04 8.0369498 0.0039754 EM
9 -0.20112580D+04 2.3847925 0.0011843 EM
10 -0.20092120D+04 2.0459764 0.0010173 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.47089582D+04 0.0000000 0.0000000 EM
2 -0.23969681D+04 2311.9900511 0.4909770 EM
3 -0.22035253D+04 193.4428659 0.0807031 EM
4 -0.20842392D+04 119.2860452 0.0541342 EM
5 -0.20451586D+04 39.0806656 0.0187506 EM
6 -0.20279138D+04 17.2447601 0.0084320 EM
7 -0.20227466D+04 5.1671880 0.0025480 EM
8 -0.20199168D+04 2.8298475 0.0013990 EM
9 -0.20166719D+04 3.2448901 0.0016064 EM
10 -0.20142731D+04 2.3988228 0.0011895 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.65385499D+04 0.0000000 0.0000000 EM
2 -0.24278551D+04 4110.6948093 0.6286860 EM
3 -0.21224937D+04 305.3613701 0.1257741 EM
4 -0.20833251D+04 39.1686794 0.0184541 EM
5 -0.20769376D+04 6.3874190 0.0030660 EM
6 -0.20805038D+04 -3.5662135 -0.0017171 EM
7 -0.20755917D+04 4.9121956 0.0023611 EM
8 -0.20755812D+04 0.0104725 0.0000050 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40755919D+04 0.0000000 0.0000000 EM
2 -0.24698047D+04 1605.7871607 0.3940010 EM
3 -0.21950675D+04 274.7372216 0.1112384 EM
4 -0.21396515D+04 55.4160482 0.0252457 EM
5 -0.21259454D+04 13.7060207 0.0064057 EM
6 -0.21264890D+04 -0.5435822 -0.0002557 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29959211D+04 0.0000000 0.0000000 EM
2 -0.21065620D+04 889.3591425 0.2968567 EM
3 -0.20447484D+04 61.8135297 0.0293433 EM
4 -0.20372723D+04 7.4761181 0.0036563 EM
5 -0.20306110D+04 6.6612818 0.0032697 EM
6 -0.20239066D+04 6.7044824 0.0033017 EM
7 -0.20190828D+04 4.8237643 0.0023834 EM
8 -0.20171375D+04 1.9452795 0.0009634 EM
9 -0.20131907D+04 3.9468003 0.0019566 EM
10 -0.20087187D+04 4.4720464 0.0022214 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41578722D+04 0.0000000 0.0000000 EM
2 -0.22724375D+04 1885.4346819 0.4534614 EM
3 -0.21271024D+04 145.3351189 0.0639556 EM
4 -0.21247443D+04 2.3581186 0.0011086 EM
5 -0.21161271D+04 8.6172511 0.0040557 EM
6 -0.21156259D+04 0.5011698 0.0002368 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.85079814D+04 0.0000000 0.0000000 EM
2 -0.25200563D+04 5987.9250839 0.7038009 EM
3 -0.20884725D+04 431.5838229 0.1712596 EM
4 -0.20111122D+04 77.3602814 0.0370416 EM
5 -0.20045460D+04 6.5662027 0.0032650 EM
6 -0.20005887D+04 3.9572542 0.0019741 EM
7 -0.19975672D+04 3.0215800 0.0015103 EM
8 -0.19944917D+04 3.0754414 0.0015396 EM
9 -0.19917404D+04 2.7513333 0.0013795 EM
10 -0.19900610D+04 1.6793625 0.0008432 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.58427686D+04 0.0000000 0.0000000 EM
2 -0.23475730D+04 3495.1956269 0.5982088 EM
3 -0.20824394D+04 265.1335853 0.1129394 EM
4 -0.20305778D+04 51.8616190 0.0249043 EM
5 -0.20074099D+04 23.1679086 0.0114095 EM
6 -0.19877281D+04 19.6817962 0.0098046 EM
7 -0.19813443D+04 6.3837529 0.0032116 EM
8 -0.19757586D+04 5.5857260 0.0028192 EM
9 -0.19726939D+04 3.0646838 0.0015511 EM
10 -0.19699817D+04 2.7122197 0.0013749 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41862396D+04 0.0000000 0.0000000 EM
2 -0.21793968D+04 2006.8427933 0.4793903 EM
3 -0.20211560D+04 158.2407385 0.0726076 EM
4 -0.20066678D+04 14.4882799 0.0071683 EM
5 -0.19995091D+04 7.1586652 0.0035674 EM
6 -0.19935630D+04 5.9460496 0.0029738 EM
7 -0.19888847D+04 4.6783343 0.0023467 EM
8 -0.19854773D+04 3.4074591 0.0017133 EM
9 -0.19829822D+04 2.4950265 0.0012566 EM
10 -0.19810158D+04 1.9664664 0.0009917 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.75109245D+04 0.0000000 0.0000000 EM
2 -0.25324741D+04 4978.4503921 0.6628279 EM
3 -0.21591401D+04 373.3340092 0.1474187 EM
4 -0.21161775D+04 42.9625646 0.0198980 EM
5 -0.21001150D+04 16.0625766 0.0075904 EM
6 -0.21055747D+04 -5.4597299 -0.0025997 EM
7 -0.20993982D+04 6.1764793 0.0029334 EM
8 -0.20918346D+04 7.5636409 0.0036028 EM
9 -0.20904410D+04 1.3935695 0.0006662 EM
10 -0.20905347D+04 -0.0937368 -0.0000448 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30733568D+04 0.0000000 0.0000000 EM
2 -0.23165335D+04 756.8232908 0.2462530 EM
3 -0.22174312D+04 99.1022961 0.0427804 EM
4 -0.21784836D+04 38.9476128 0.0175643 EM
5 -0.21796163D+04 -1.1326868 -0.0005199 EM
6 -0.21842863D+04 -4.6700200 -0.0021426 EM
7 -0.21862572D+04 -1.9708747 -0.0009023 EM
8 -0.21800341D+04 6.2231139 0.0028465 EM
9 -0.21863183D+04 -6.2841756 -0.0028826 EM
10 -0.21781734D+04 8.1448236 0.0037254 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.58427686D+04 0.0000000 0.0000000 EM
2 -0.23475730D+04 3495.1956269 0.5982088 EM
3 -0.20824394D+04 265.1335853 0.1129394 EM
4 -0.20305778D+04 51.8616190 0.0249043 EM
5 -0.20074099D+04 23.1679086 0.0114095 EM
6 -0.19877281D+04 19.6817962 0.0098046 EM
7 -0.19813443D+04 6.3837529 0.0032116 EM
8 -0.19757586D+04 5.5857260 0.0028192 EM
9 -0.19726939D+04 3.0646838 0.0015511 EM
10 -0.19699817D+04 2.7122197 0.0013749 EM
11 -0.19667719D+04 3.2097829 0.0016293 EM
12 -0.19639169D+04 2.8550333 0.0014516 EM
13 -0.19619077D+04 2.0091430 0.0010230 EM
14 -0.19601681D+04 1.7396204 0.0008867 EM
15 -0.19587308D+04 1.4373405 0.0007333 EM
16 -0.19575521D+04 1.1786890 0.0006018 EM
17 -0.19564744D+04 1.0776325 0.0005505 EM
18 -0.19554596D+04 1.0148745 0.0005187 EM
19 -0.19545822D+04 0.8773226 0.0004487 EM
20 -0.19538829D+04 0.6993734 0.0003578 EM
21 -0.19533238D+04 0.5590852 0.0002861 EM
22 -0.19528658D+04 0.4580133 0.0002345 EM
23 -0.19524835D+04 0.3823111 0.0001958 EM
24 -0.19521566D+04 0.3268461 0.0001674 EM
25 -0.19518586D+04 0.2980126 0.0001527 EM
26 -0.19515327D+04 0.3258610 0.0001669 EM
27 -0.19510476D+04 0.4851776 0.0002486 EM
28 -0.19501791D+04 0.8684489 0.0004451 EM
29 -0.19487904D+04 1.3887549 0.0007121 EM
30 -0.19472812D+04 1.5092052 0.0007744 EM
31 -0.19462216D+04 1.0596067 0.0005441 EM
32 -0.19456260D+04 0.5955551 0.0003060 EM
33 -0.19452648D+04 0.3612399 0.0001857 EM
34 -0.19450165D+04 0.2482199 0.0001276 EM
35 -0.19448329D+04 0.1836772 0.0000944 EM
36 -0.19446931D+04 0.1397243 0.0000718 EM
37 -0.19445859D+04 0.1072056 0.0000551 EM
38 -0.19442987D+04 0.2872565 0.0001477 FS
39 -0.19442349D+04 0.0637296 0.0000328 EM
40 -0.19442270D+04 0.0079880 0.0000041 EM
41 -0.19442237D+04 0.0032364 0.0000017 EM
42 -0.19442219D+04 0.0017876 0.0000009 EM
43 -0.19442208D+04 0.0011617 0.0000006 EM
44 -0.19442199D+04 0.0008472 0.0000004 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41862396D+04 0.0000000 0.0000000 EM
2 -0.21793968D+04 2006.8427933 0.4793903 EM
3 -0.20211560D+04 158.2407385 0.0726076 EM
4 -0.20066678D+04 14.4882799 0.0071683 EM
5 -0.19995091D+04 7.1586652 0.0035674 EM
6 -0.19935630D+04 5.9460496 0.0029738 EM
7 -0.19888847D+04 4.6783343 0.0023467 EM
8 -0.19854773D+04 3.4074591 0.0017133 EM
9 -0.19829822D+04 2.4950265 0.0012566 EM
10 -0.19810158D+04 1.9664664 0.0009917 EM
11 -0.19792733D+04 1.7424276 0.0008796 EM
12 -0.19776897D+04 1.5836184 0.0008001 EM
13 -0.19762468D+04 1.4429473 0.0007296 EM
14 -0.19749328D+04 1.3139423 0.0006649 EM
15 -0.19737321D+04 1.2007506 0.0006080 EM
16 -0.19726218D+04 1.1102440 0.0005625 EM
17 -0.19715737D+04 1.0481392 0.0005313 EM
18 -0.19705560D+04 1.0176784 0.0005162 EM
19 -0.19695362D+04 1.0197946 0.0005175 EM
20 -0.19684848D+04 1.0514425 0.0005339 EM
21 -0.19673815D+04 1.1033234 0.0005605 EM
22 -0.19662189D+04 1.1625451 0.0005909 EM
23 -0.19649982D+04 1.2206766 0.0006208 EM
24 -0.19637193D+04 1.2788970 0.0006508 EM
25 -0.19623755D+04 1.3438678 0.0006843 EM
26 -0.19609564D+04 1.4190243 0.0007231 EM
27 -0.19594598D+04 1.4966650 0.0007632 EM
28 -0.19579061D+04 1.5536420 0.0007929 EM
29 -0.19563492D+04 1.5569555 0.0007952 EM
30 -0.19548650D+04 1.4841582 0.0007586 EM
31 -0.19535209D+04 1.3441672 0.0006876 EM
32 -0.19523487D+04 1.1721695 0.0006000 EM
33 -0.19513459D+04 1.0027458 0.0005136 EM
34 -0.19504927D+04 0.8532391 0.0004373 EM
35 -0.19497658D+04 0.7268574 0.0003727 EM
36 -0.19491448D+04 0.6210497 0.0003185 EM
37 -0.19478629D+04 1.2818905 0.0006577 FS
38 -0.19475970D+04 0.2659321 0.0001365 FS
39 -0.19472681D+04 0.3288561 0.0001689 FS
40 -0.19457415D+04 1.5266430 0.0007840 EM
41 -0.19454254D+04 0.3160462 0.0001624 EM
42 -0.19452332D+04 0.1921775 0.0000988 EM
43 -0.19450945D+04 0.1387228 0.0000713 EM
44 -0.19449881D+04 0.1063858 0.0000547 EM
45 -0.19449035D+04 0.0845955 0.0000435 EM
46 -0.19448344D+04 0.0690956 0.0000355 EM
47 -0.19447768D+04 0.0576677 0.0000297 EM
48 -0.19447278D+04 0.0490258 0.0000252 EM
49 -0.19446854D+04 0.0423674 0.0000218 EM
50 -0.19446482D+04 0.0371613 0.0000191 EM
51 -0.19446152D+04 0.0330366 0.0000170 EM
52 -0.19445855D+04 0.0297262 0.0000153 EM
53 -0.19445584D+04 0.0270320 0.0000139 EM
54 -0.19445336D+04 0.0248044 0.0000128 EM
55 -0.19445107D+04 0.0229307 0.0000118 EM
56 -0.19444894D+04 0.0213245 0.0000110 EM
57 -0.19444695D+04 0.0199200 0.0000102 EM
58 -0.19444508D+04 0.0186675 0.0000096 EM
59 -0.19444333D+04 0.0175293 0.0000090 EM
60 -0.19444168D+04 0.0164775 0.0000085 EM
61 -0.19444013D+04 0.0154916 0.0000080 EM
62 -0.19443867D+04 0.0145570 0.0000075 EM
63 -0.19443731D+04 0.0136638 0.0000070 EM
64 -0.19443603D+04 0.0128058 0.0000066 EM
65 -0.19443483D+04 0.0119795 0.0000062 EM
66 -0.19443371D+04 0.0111832 0.0000058 EM
67 -0.19443267D+04 0.0104170 0.0000054 EM
68 -0.19443170D+04 0.0096813 0.0000050 EM
69 -0.19442725D+04 0.0445318 0.0000229 QN
70 -0.19442425D+04 0.0299487 0.0000154 EM
71 -0.19442377D+04 0.0047758 0.0000025 EM
72 -0.19442348D+04 0.0029886 0.0000015 EM
73 -0.19442324D+04 0.0023556 0.0000012 EM
74 -0.19442304D+04 0.0019985 0.0000010 EM
75 -0.19442287D+04 0.0017464 0.0000009 EM
76 -0.19442271D+04 0.0015455 0.0000008 EM
77 -0.19442257D+04 0.0013746 0.0000007 EM
78 -0.19442245D+04 0.0012251 0.0000006 EM
79 -0.19442234D+04 0.0010931 0.0000006 EM
80 -0.19442224D+04 0.0009755 0.0000005 EM
Beginning Time: 22:57:23
Ending Time: 22:57:27
Elapsed Time: 00:00:04
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