Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 11:00 PM
INPUT INSTRUCTIONS
TITLE: app2
LCA of 9 ASB items with three covariates
DATA: FILE IS asb.dat;
FORMAT IS 34X 54F2.0;
VARIABLE: NAMES ARE property fight shoplift lt50 gt50 force threat injure
pot drug soldpot solddrug con auto bldg goods gambling
dsm1-dsm22 male black hisp single divorce dropout college onset f1 f2 f3
age94 cohort dep abuse;
USEV ARE property fight shoplift lt50 threat pot drug
con goods age94 male black;
CLASSES = c(4);
CATEGORICAL ARE property fight shoplift lt50 threat pot drug
con goods;
ANALYSIS: TYPE = MIXTURE;
MODEL: %OVERALL%
c#1 ON age94 male black;
c#2 ON age94 male black;
c#3 ON age94 male black;
%c#1%
[property$1-goods$1*-1];
%c#2%
[property$1-goods$1*2 pot$1*-3 drug$1*0];
%c#3%
[property$1-goods$1*3 threat$1*-1 fight$1*0];
%c#4%
[property$1-goods$1*3 pot$1*1];
OUTPUT: TECH8;
INPUT READING TERMINATED NORMALLY
app2
LCA of 9 ASB items with three covariates
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 7326
Number of dependent variables 9
Number of independent variables 3
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
PROPERTY FIGHT SHOPLIFT LT50 THREAT POT
DRUG CON GOODS
Observed independent variables
AGE94 MALE BLACK
Categorical latent variables
C
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-06
Relative loglikelihood change 0.100D-06
Derivative 0.100D-05
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-05
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-05
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
Random Starts Specifications
Number of initial stage random starts 10
Number of final stage optimizations 2
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
Input data file(s)
asb.dat
Input data format
(34X 54F2.0)
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
PROPERTY
Category 1 0.815 5972.000
Category 2 0.185 1354.000
FIGHT
Category 1 0.719 5267.000
Category 2 0.281 2059.000
SHOPLIFT
Category 1 0.736 5393.000
Category 2 0.264 1933.000
LT50
Category 1 0.813 5956.000
Category 2 0.187 1370.000
THREAT
Category 1 0.638 4673.000
Category 2 0.362 2653.000
POT
Category 1 0.547 4006.000
Category 2 0.453 3320.000
DRUG
Category 1 0.825 6047.000
Category 2 0.175 1279.000
CON
Category 1 0.775 5681.000
Category 2 0.225 1645.000
GOODS
Category 1 0.888 6505.000
Category 2 0.112 821.000
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:
-30416.942 unperturbed 0
-30416.942 462953 7
WARNING: WHEN ESTIMATING A MODEL WITH MORE THAN TWO CLASSES, IT MAY BE
NECESSARY TO INCREASE THE NUMBER OF RANDOM STARTS USING THE STARTS OPTION
TO AVOID LOCAL MAXIMA.
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Loglikelihood
H0 Value -30416.942
H0 Scaling Correction Factor 1.088
for MLR
Information Criteria
Number of Free Parameters 48
Akaike (AIC) 60929.884
Bayesian (BIC) 61261.045
Sample-Size Adjusted BIC 61108.512
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 1120.442
Degrees of Freedom 472
P-Value 0.0000
Likelihood Ratio Chi-Square
Value 1103.518
Degrees of Freedom 472
P-Value 0.0000
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 928.39995 0.12673
2 1499.08954 0.20463
3 2249.49543 0.30706
4 2649.01508 0.36159
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 928.39978 0.12673
2 1499.08964 0.20463
3 2249.49543 0.30706
4 2649.01515 0.36159
CLASSIFICATION QUALITY
Entropy 0.690
CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 920 0.12558
2 1433 0.19560
3 2154 0.29402
4 2819 0.38479
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2 3 4
1 0.859 0.065 0.076 0.000
2 0.047 0.808 0.087 0.058
3 0.033 0.067 0.816 0.084
4 0.000 0.048 0.105 0.846
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
Thresholds
PROPERTY$1 -1.185 0.133 -8.883 0.000
FIGHT$1 -0.967 0.108 -8.958 0.000
SHOPLIFT$1 -1.307 0.130 -10.078 0.000
LT50$1 -0.647 0.108 -5.998 0.000
THREAT$1 -1.383 0.108 -12.847 0.000
POT$1 -1.656 0.151 -10.935 0.000
DRUG$1 0.093 0.106 0.878 0.380
CON$1 -0.384 0.091 -4.201 0.000
GOODS$1 -0.299 0.106 -2.816 0.005
Latent Class 2
Thresholds
PROPERTY$1 1.834 0.126 14.583 0.000
FIGHT$1 1.700 0.144 11.769 0.000
SHOPLIFT$1 0.425 0.079 5.418 0.000
LT50$1 1.113 0.082 13.504 0.000
THREAT$1 0.549 0.095 5.782 0.000
POT$1 -2.561 0.246 -10.415 0.000
DRUG$1 -0.127 0.107 -1.185 0.236
CON$1 1.346 0.092 14.595 0.000
GOODS$1 2.272 0.137 16.592 0.000
Latent Class 3
Thresholds
PROPERTY$1 1.494 0.110 13.632 0.000
FIGHT$1 0.032 0.085 0.378 0.706
SHOPLIFT$1 1.312 0.100 13.083 0.000
LT50$1 1.929 0.122 15.858 0.000
THREAT$1 -0.184 0.090 -2.049 0.040
POT$1 0.916 0.097 9.484 0.000
DRUG$1 4.484 0.480 9.345 0.000
CON$1 0.937 0.074 12.626 0.000
GOODS$1 2.668 0.152 17.502 0.000
Latent Class 4
Thresholds
PROPERTY$1 4.699 0.433 10.840 0.000
FIGHT$1 3.988 0.512 7.787 0.000
SHOPLIFT$1 2.943 0.153 19.222 0.000
LT50$1 3.192 0.158 20.193 0.000
THREAT$1 2.929 0.219 13.360 0.000
POT$1 1.443 0.082 17.624 0.000
DRUG$1 5.236 0.637 8.225 0.000
CON$1 2.814 0.145 19.402 0.000
GOODS$1 7.307 1.901 3.844 0.000
Categorical Latent Variables
C#1 ON
AGE94 -0.285 0.028 -10.046 0.000
MALE 2.578 0.151 17.086 0.000
BLACK 0.158 0.139 1.141 0.254
C#2 ON
AGE94 0.069 0.022 3.182 0.001
MALE 0.187 0.110 1.702 0.089
BLACK -0.606 0.139 -4.357 0.000
C#3 ON
AGE94 -0.317 0.028 -11.311 0.000
MALE 1.459 0.101 14.431 0.000
BLACK 0.999 0.117 8.513 0.000
Intercepts
C#1 -1.822 0.174 -10.485 0.000
C#2 -0.748 0.103 -7.258 0.000
C#3 -0.324 0.125 -2.600 0.009
RESULTS IN PROBABILITY SCALE
Latent Class 1
PROPERTY
Category 1 0.234 0.024 9.785 0.000
Category 2 0.766 0.024 32.013 0.000
FIGHT
Category 1 0.275 0.022 12.786 0.000
Category 2 0.725 0.022 33.626 0.000
SHOPLIFT
Category 1 0.213 0.022 9.794 0.000
Category 2 0.787 0.022 36.204 0.000
LT50
Category 1 0.344 0.024 14.124 0.000
Category 2 0.656 0.024 26.976 0.000
THREAT
Category 1 0.200 0.017 11.616 0.000
Category 2 0.800 0.017 46.325 0.000
POT
Category 1 0.160 0.020 7.867 0.000
Category 2 0.840 0.020 41.191 0.000
DRUG
Category 1 0.523 0.026 19.866 0.000
Category 2 0.477 0.026 18.108 0.000
CON
Category 1 0.405 0.022 18.393 0.000
Category 2 0.595 0.022 27.004 0.000
GOODS
Category 1 0.426 0.026 16.381 0.000
Category 2 0.574 0.026 22.097 0.000
Latent Class 2
PROPERTY
Category 1 0.862 0.015 57.713 0.000
Category 2 0.138 0.015 9.225 0.000
FIGHT
Category 1 0.846 0.019 44.821 0.000
Category 2 0.154 0.019 8.185 0.000
SHOPLIFT
Category 1 0.605 0.019 32.224 0.000
Category 2 0.395 0.019 21.058 0.000
LT50
Category 1 0.753 0.015 49.058 0.000
Category 2 0.247 0.015 16.119 0.000
THREAT
Category 1 0.634 0.022 28.749 0.000
Category 2 0.366 0.022 16.595 0.000
POT
Category 1 0.072 0.016 4.382 0.000
Category 2 0.928 0.016 56.718 0.000
DRUG
Category 1 0.468 0.027 17.519 0.000
Category 2 0.532 0.027 19.895 0.000
CON
Category 1 0.793 0.015 52.503 0.000
Category 2 0.207 0.015 13.671 0.000
GOODS
Category 1 0.907 0.012 78.138 0.000
Category 2 0.093 0.012 8.055 0.000
Latent Class 3
PROPERTY
Category 1 0.817 0.016 49.770 0.000
Category 2 0.183 0.016 11.174 0.000
FIGHT
Category 1 0.508 0.021 23.848 0.000
Category 2 0.492 0.021 23.093 0.000
SHOPLIFT
Category 1 0.788 0.017 47.004 0.000
Category 2 0.212 0.017 12.655 0.000
LT50
Category 1 0.873 0.013 64.806 0.000
Category 2 0.127 0.013 9.415 0.000
THREAT
Category 1 0.454 0.022 20.457 0.000
Category 2 0.546 0.022 24.579 0.000
POT
Category 1 0.714 0.020 36.233 0.000
Category 2 0.286 0.020 14.499 0.000
DRUG
Category 1 0.989 0.005 186.684 0.000
Category 2 0.011 0.005 2.108 0.035
CON
Category 1 0.719 0.015 47.864 0.000
Category 2 0.281 0.015 18.749 0.000
GOODS
Category 1 0.935 0.009 101.101 0.000
Category 2 0.065 0.009 7.015 0.000
Latent Class 4
PROPERTY
Category 1 0.991 0.004 255.713 0.000
Category 2 0.009 0.004 2.328 0.020
FIGHT
Category 1 0.982 0.009 107.283 0.000
Category 2 0.018 0.009 1.989 0.047
SHOPLIFT
Category 1 0.950 0.007 130.448 0.000
Category 2 0.050 0.007 6.876 0.000
LT50
Category 1 0.961 0.006 160.281 0.000
Category 2 0.039 0.006 6.586 0.000
THREAT
Category 1 0.949 0.011 89.910 0.000
Category 2 0.051 0.011 4.805 0.000
POT
Category 1 0.809 0.013 63.920 0.000
Category 2 0.191 0.013 15.092 0.000
DRUG
Category 1 0.995 0.003 296.771 0.000
Category 2 0.005 0.003 1.579 0.114
CON
Category 1 0.943 0.008 121.862 0.000
Category 2 0.057 0.008 7.309 0.000
GOODS
Category 1 0.999 0.001 784.985 0.000
Category 2 0.001 0.001 0.526 0.599
LATENT CLASS ODDS RATIO RESULTS
Latent Class 1 Compared to Latent Class 2
PROPERTY
Category > 1 20.469 3.211 6.376 0.000
FIGHT
Category > 1 14.401 2.374 6.066 0.000
SHOPLIFT
Category > 1 5.657 0.823 6.874 0.000
LT50
Category > 1 5.813 0.761 7.642 0.000
THREAT
Category > 1 6.909 0.963 7.177 0.000
POT
Category > 1 0.405 0.117 3.447 0.001
DRUG
Category > 1 0.803 0.120 6.664 0.000
CON
Category > 1 5.638 0.708 7.960 0.000
GOODS
Category > 1 13.085 2.072 6.316 0.000
Latent Class 1 Compared to Latent Class 3
PROPERTY
Category > 1 14.572 2.153 6.769 0.000
FIGHT
Category > 1 2.716 0.374 7.268 0.000
SHOPLIFT
Category > 1 13.730 1.895 7.245 0.000
LT50
Category > 1 13.147 1.800 7.305 0.000
THREAT
Category > 1 3.319 0.469 7.081 0.000
POT
Category > 1 13.085 2.064 6.338 0.000
DRUG
Category > 1 80.734 37.876 2.132 0.033
CON
Category > 1 3.748 0.418 8.963 0.000
GOODS
Category > 1 19.442 2.995 6.492 0.000
Latent Class 1 Compared to Latent Class 4
PROPERTY
Category > 1 359.384 160.135 2.244 0.025
FIGHT
Category > 1 141.862 72.798 1.949 0.051
SHOPLIFT
Category > 1 70.132 13.075 5.364 0.000
LT50
Category > 1 46.479 8.566 5.426 0.000
THREAT
Category > 1 74.629 17.647 4.229 0.000
POT
Category > 1 22.177 3.959 5.602 0.000
DRUG
Category > 1 171.296 112.039 1.529 0.126
CON
Category > 1 24.479 3.938 6.215 0.000
GOODS
Category > 1 2011.537 3817.201 0.527 0.598
Latent Class 2 Compared to Latent Class 3
PROPERTY
Category > 1 0.712 0.119 6.002 0.000
FIGHT
Category > 1 0.189 0.032 5.805 0.000
SHOPLIFT
Category > 1 2.427 0.314 7.726 0.000
LT50
Category > 1 2.262 0.339 6.670 0.000
THREAT
Category > 1 0.480 0.066 7.262 0.000
POT
Category > 1 32.348 8.076 4.006 0.000
DRUG
Category > 1 100.585 47.098 2.136 0.033
CON
Category > 1 0.665 0.083 8.015 0.000
GOODS
Category > 1 1.486 0.307 4.833 0.000
Latent Class 2 Compared to Latent Class 4
PROPERTY
Category > 1 17.558 7.970 2.203 0.028
FIGHT
Category > 1 9.851 5.313 1.854 0.064
SHOPLIFT
Category > 1 12.398 2.069 5.993 0.000
LT50
Category > 1 7.996 1.435 5.572 0.000
THREAT
Category > 1 10.802 2.551 4.234 0.000
POT
Category > 1 54.826 12.940 4.237 0.000
DRUG
Category > 1 213.415 131.749 1.620 0.105
CON
Category > 1 4.342 0.748 5.803 0.000
GOODS
Category > 1 153.726 293.041 0.525 0.600
Latent Class 3 Compared to Latent Class 4
PROPERTY
Category > 1 24.663 11.040 2.234 0.025
FIGHT
Category > 1 52.232 25.543 2.045 0.041
SHOPLIFT
Category > 1 5.108 0.954 5.352 0.000
LT50
Category > 1 3.535 0.773 4.575 0.000
THREAT
Category > 1 22.483 4.616 4.870 0.000
POT
Category > 1 1.695 0.218 7.762 0.000
DRUG
Category > 1 2.122 1.685 1.259 0.208
CON
Category > 1 6.531 1.060 6.160 0.000
GOODS
Category > 1 103.466 198.498 0.521 0.602
LOGISTIC REGRESSION ODDS RATIO RESULTS
Categorical Latent Variables
C#1 ON
AGE94 0.752
MALE 13.173
BLACK 1.171
C#2 ON
AGE94 1.071
MALE 1.206
BLACK 0.545
C#3 ON
AGE94 0.729
MALE 4.302
BLACK 2.716
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Parameterization using Reference Class 1
C#2 ON
AGE94 0.354 0.026 13.374 0.000
MALE -2.391 0.151 -15.786 0.000
BLACK -0.765 0.172 -4.436 0.000
C#3 ON
AGE94 -0.032 0.029 -1.103 0.270
MALE -1.119 0.156 -7.162 0.000
BLACK 0.841 0.109 7.734 0.000
C#4 ON
AGE94 0.285 0.028 10.046 0.000
MALE -2.578 0.151 -17.086 0.000
BLACK -0.158 0.139 -1.141 0.254
Intercepts
C#2 1.075 0.178 6.032 0.000
C#3 1.498 0.162 9.247 0.000
C#4 1.822 0.174 10.485 0.000
Parameterization using Reference Class 2
C#1 ON
AGE94 -0.354 0.026 -13.374 0.000
MALE 2.391 0.151 15.786 0.000
BLACK 0.765 0.172 4.436 0.000
C#3 ON
AGE94 -0.386 0.028 -13.625 0.000
MALE 1.272 0.126 10.073 0.000
BLACK 1.606 0.150 10.739 0.000
C#4 ON
AGE94 -0.069 0.022 -3.182 0.001
MALE -0.187 0.110 -1.702 0.089
BLACK 0.606 0.139 4.357 0.000
Intercepts
C#1 -1.075 0.178 -6.032 0.000
C#3 0.424 0.118 3.576 0.000
C#4 0.748 0.103 7.258 0.000
Parameterization using Reference Class 3
C#1 ON
AGE94 0.032 0.029 1.103 0.270
MALE 1.119 0.156 7.162 0.000
BLACK -0.841 0.109 -7.734 0.000
C#2 ON
AGE94 0.386 0.028 13.625 0.000
MALE -1.272 0.126 -10.073 0.000
BLACK -1.606 0.150 -10.739 0.000
C#4 ON
AGE94 0.317 0.028 11.311 0.000
MALE -1.459 0.101 -14.431 0.000
BLACK -0.999 0.117 -8.513 0.000
Intercepts
C#1 -1.498 0.162 -9.247 0.000
C#2 -0.424 0.118 -3.576 0.000
C#4 0.324 0.125 2.600 0.009
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.212E-04
(ratio of smallest to largest eigenvalue)
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.33504260D+05 0.0000000 0.0000000 1344.793 1727.873 EM
1721.133 2532.201
2 -0.30807622D+05 2696.6380020 0.0804864 1353.934 1681.290 EM
1656.867 2633.909
3 -0.30596954D+05 210.6675364 0.0068382 1313.473 1679.582 EM
1700.179 2632.766
4 -0.30527985D+05 68.9691311 0.0022541 1269.865 1670.759 EM
1757.971 2627.405
5 -0.30495419D+05 32.5666113 0.0010668 1229.015 1658.709 EM
1816.568 2621.708
6 -0.30474867D+05 20.5517063 0.0006739 1191.978 1645.962 EM
1871.279 2616.781
7 -0.30460003D+05 14.8636864 0.0004877 1158.807 1633.768 EM
1920.516 2612.909
8 -0.30448885D+05 11.1183243 0.0003650 1129.342 1622.592 EM
1964.016 2610.050
9 -0.30440575D+05 8.3104131 0.0002729 1103.353 1612.524 EM
2002.066 2608.057
10 -0.30434413D+05 6.1616013 0.0002024 1080.567 1603.503 EM
2035.153 2606.777
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.66633523D+05 0.0000000 0.0000000 607.058 5365.753 EM
631.201 721.987
2 -0.34698997D+05 ************ 0.4792562 712.966 5313.786 EM
644.836 654.412
3 -0.33475554D+05 1223.4427215 0.0352587 887.332 5007.016 EM
732.768 698.885
4 -0.32000570D+05 1474.9847033 0.0440615 1020.011 4578.231 EM
976.974 750.785
5 -0.31337737D+05 662.8321877 0.0207131 1071.359 4359.707 EM
1074.185 820.749
6 -0.31153666D+05 184.0712480 0.0058738 1093.035 4220.264 EM
1124.325 888.377
7 -0.31052332D+05 101.3340895 0.0032527 1111.322 4102.639 EM
1168.674 943.364
8 -0.30976520D+05 75.8119721 0.0024414 1130.458 3999.285 EM
1208.108 988.149
9 -0.30913650D+05 62.8704594 0.0020296 1152.400 3907.104 EM
1240.774 1025.722
10 -0.30859085D+05 54.5647542 0.0017651 1178.633 3823.962 EM
1265.326 1058.079
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.59112600D+05 0.0000000 0.0000000 197.882 207.811 EM
5294.372 1625.934
2 -0.32874454D+05 ************ 0.4438672 356.284 218.997 EM
5203.587 1547.132
3 -0.31723263D+05 1151.1904108 0.0350178 420.607 266.545 EM
5022.105 1616.743
4 -0.31370014D+05 353.2489862 0.0111353 447.310 342.248 EM
4823.863 1712.579
5 -0.31244274D+05 125.7406199 0.0040083 455.262 424.192 EM
4646.099 1800.447
6 -0.31169207D+05 75.0672213 0.0024026 459.770 504.791 EM
4485.374 1876.065
7 -0.31112116D+05 57.0904601 0.0018316 461.906 582.278 EM
4338.036 1943.780
8 -0.31063649D+05 48.4671925 0.0015578 462.513 656.468 EM
4201.157 2005.862
9 -0.31019478D+05 44.1706615 0.0014219 462.588 727.933 EM
4072.857 2062.622
10 -0.30977765D+05 41.7130489 0.0013447 463.228 797.243 EM
3952.292 2113.236
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.52799145D+05 0.0000000 0.0000000 584.792 19.343 EM
6414.972 306.894
2 -0.35209676D+05 ************ 0.3331393 522.841 41.432 EM
6409.313 352.414
3 -0.34728753D+05 480.9230890 0.0136588 520.752 165.778 EM
6216.185 423.284
4 -0.33640013D+05 1088.7405889 0.0313498 533.273 400.267 EM
5889.810 502.651
5 -0.32490867D+05 1149.1451715 0.0341601 559.204 637.035 EM
5561.432 568.329
6 -0.31869965D+05 620.9019352 0.0191100 597.238 819.049 EM
5302.311 607.402
7 -0.31549499D+05 320.4663807 0.0100554 651.483 968.928 EM
5055.582 650.007
8 -0.31370694D+05 178.8053932 0.0056675 717.266 1074.947 EM
4854.426 679.362
9 -0.31248605D+05 122.0891504 0.0038918 784.397 1158.380 EM
4680.533 702.689
10 -0.31157976D+05 90.6283886 0.0029002 844.459 1226.665 EM
4532.081 722.795
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.62278787D+05 0.0000000 0.0000000 222.508 34.561 EM
5885.511 1183.419
2 -0.35138594D+05 ************ 0.4357855 197.010 30.375 EM
5936.321 1162.294
3 -0.34933174D+05 205.4203079 0.0058460 179.712 56.579 EM
5896.646 1193.063
4 -0.34404898D+05 528.2760869 0.0151225 167.182 209.441 EM
5690.167 1259.209
5 -0.33496881D+05 908.0166412 0.0263921 161.050 420.552 EM
5397.562 1346.837
6 -0.32577845D+05 919.0363096 0.0274365 156.865 667.745 EM
5054.602 1446.788
7 -0.32035123D+05 542.7215848 0.0166592 157.763 867.899 EM
4767.328 1533.010
8 -0.31735802D+05 299.3214094 0.0093435 169.086 1047.221 EM
4467.504 1642.189
9 -0.31547286D+05 188.5161631 0.0059402 192.693 1174.881 EM
4205.512 1752.914
10 -0.31407644D+05 139.6417441 0.0044264 225.817 1270.327 EM
3964.018 1865.838
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.60364336D+05 0.0000000 0.0000000 703.521 369.098 EM
2504.049 3749.331
2 -0.34588765D+05 ************ 0.4270000 740.555 420.857 EM
2586.218 3578.370
3 -0.32610193D+05 1978.5723283 0.0572027 978.555 459.591 EM
2887.410 3000.445
4 -0.31302149D+05 1308.0435370 0.0401115 1112.918 568.975 EM
3004.643 2639.464
5 -0.30985901D+05 316.2484061 0.0101031 1083.295 673.155 EM
2972.308 2597.241
6 -0.30870723D+05 115.1782697 0.0037171 1042.232 773.346 EM
2917.119 2593.304
7 -0.30794484D+05 76.2384181 0.0024696 1005.717 871.723 EM
2863.411 2585.148
8 -0.30732299D+05 62.1851404 0.0020194 976.725 967.185 EM
2817.171 2564.919
9 -0.30679349D+05 52.9501181 0.0017229 954.930 1058.975 EM
2779.611 2532.484
10 -0.30634675D+05 44.6737730 0.0014562 939.199 1146.576 EM
2750.351 2489.874
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.74225777D+05 0.0000000 0.0000000 3614.052 29.166 EM
1258.122 2424.660
2 -0.33429195D+05 ************ 0.5496282 3512.739 23.474 EM
1322.762 2467.025
3 -0.32612285D+05 816.9106965 0.0244370 3313.626 23.683 EM
1508.095 2480.597
4 -0.32181624D+05 430.6603703 0.0132055 3143.423 27.996 EM
1683.187 2471.393
5 -0.31923356D+05 258.2685629 0.0080253 2974.448 40.323 EM
1837.392 2473.837
6 -0.31718347D+05 205.0083707 0.0064219 2806.156 67.429 EM
1959.315 2493.100
7 -0.31541186D+05 177.1610440 0.0055854 2637.523 135.116 EM
2032.910 2520.452
8 -0.31381145D+05 160.0415240 0.0050740 2474.892 238.999 EM
2067.182 2544.928
9 -0.31268054D+05 113.0908309 0.0036038 2336.798 328.407 EM
2098.130 2562.665
10 -0.31172876D+05 95.1775229 0.0030439 2209.624 418.407 EM
2128.634 2569.334
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.50780406D+05 0.0000000 0.0000000 349.966 51.219 EM
3913.405 3011.410
2 -0.33242132D+05 ************ 0.3453748 612.029 41.678 EM
3951.492 2720.802
3 -0.31880846D+05 1361.2853232 0.0409506 821.704 80.040 EM
3929.039 2495.217
4 -0.31182281D+05 698.5647642 0.0219117 849.094 257.127 EM
3810.556 2409.223
5 -0.30892973D+05 289.3086940 0.0092780 836.483 380.946 EM
3725.998 2382.573
6 -0.30754783D+05 138.1898028 0.0044732 814.602 484.764 EM
3658.175 2368.458
7 -0.30687966D+05 66.8171283 0.0021726 797.126 559.909 EM
3602.368 2366.597
8 -0.30646835D+05 41.1304895 0.0013403 784.753 624.988 EM
3550.417 2365.842
9 -0.30608173D+05 38.6628138 0.0012616 776.230 695.110 EM
3498.261 2356.400
10 -0.30571321D+05 36.8511899 0.0012040 770.971 768.259 EM
3447.723 2339.048
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.52767818D+05 0.0000000 0.0000000 405.246 137.896 EM
1177.703 5605.155
2 -0.32938972D+05 ************ 0.3757754 680.801 110.784 EM
1117.510 5416.906
3 -0.32085057D+05 853.9148135 0.0259241 885.466 123.637 EM
1130.273 5186.624
4 -0.31701510D+05 383.5475921 0.0119541 1069.775 154.994 EM
1154.269 4946.961
5 -0.31484496D+05 217.0138359 0.0068455 1199.021 198.046 EM
1186.293 4742.640
6 -0.31342747D+05 141.7483214 0.0045022 1299.705 250.565 EM
1221.441 4554.289
7 -0.31241129D+05 101.6180418 0.0032422 1375.593 313.965 EM
1257.138 4379.304
8 -0.31163739D+05 77.3902181 0.0024772 1431.246 386.451 EM
1293.813 4214.490
9 -0.31104361D+05 59.3777923 0.0019053 1470.266 463.478 EM
1332.956 4059.299
10 -0.31057970D+05 46.3908328 0.0014915 1496.016 543.013 EM
1374.491 3912.479
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.69419208D+05 0.0000000 0.0000000 3609.077 37.443 EM
4.530 3674.949
2 -0.32779512D+05 ************ 0.5278034 3394.012 29.093 EM
5.282 3897.613
3 -0.32075548D+05 703.9644090 0.0214757 3205.269 36.497 EM
7.478 4076.756
4 -0.31861930D+05 213.6181176 0.0066598 3043.894 93.601 EM
12.430 4176.075
5 -0.31706766D+05 155.1635000 0.0048699 2906.417 151.882 EM
20.763 4246.937
6 -0.31535997D+05 170.7692554 0.0053859 2748.827 259.776 EM
44.428 4272.969
7 -0.31373362D+05 162.6351130 0.0051571 2594.585 354.649 EM
83.163 4293.603
8 -0.31249853D+05 123.5085762 0.0039367 2463.099 425.607 EM
133.590 4303.704
9 -0.31157192D+05 92.6614928 0.0029652 2348.038 487.312 EM
195.087 4295.563
10 -0.31069718D+05 87.4736903 0.0028075 2240.603 549.496 EM
268.646 4267.255
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.94814403D+05 0.0000000 0.0000000 1463.370 3498.568 EM
98.658 2265.404
2 -0.31872811D+05 ************ 0.6638400 1537.162 3450.044 EM
121.433 2217.360
3 -0.31288440D+05 584.3706406 0.0183345 1607.750 3302.929 EM
159.442 2255.879
4 -0.31189276D+05 99.1646141 0.0031694 1625.040 3203.689 EM
215.839 2281.432
5 -0.31132435D+05 56.8403750 0.0018224 1629.556 3112.505 EM
281.077 2302.862
6 -0.31089997D+05 42.4381739 0.0013631 1627.368 3027.311 EM
347.563 2323.758
7 -0.31056667D+05 33.3295610 0.0010720 1620.092 2947.695 EM
413.305 2344.908
8 -0.31029250D+05 27.4171956 0.0008828 1608.225 2873.154 EM
478.344 2366.276
9 -0.31005264D+05 23.9860638 0.0007730 1592.028 2802.876 EM
543.429 2387.667
10 -0.30982876D+05 22.3883219 0.0007221 1571.786 2735.853 EM
609.310 2409.052
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
10 -0.30434413D+05 6.1616013 0.0002024 1080.567 1603.503 EM
2035.153 2606.777
11 -0.30429878D+05 4.5345187 0.0001490 1060.694 1595.412 EM
2063.821 2606.074
12 -0.30426557D+05 3.3212118 0.0001091 1043.432 1588.126 EM
2088.601 2605.841
13 -0.30424129D+05 2.4281196 0.0000798 1028.488 1581.530 EM
2109.991 2605.992
14 -0.30422352D+05 1.7767039 0.0000584 1015.579 1575.523 EM
2128.441 2606.456
15 -0.30421048D+05 1.3040953 0.0000429 1004.447 1570.024 EM
2144.354 2607.175
16 -0.30420086D+05 0.9619237 0.0000316 994.854 1564.963 EM
2158.083 2608.099
17 -0.30419372D+05 0.7140497 0.0000235 986.590 1560.288 EM
2169.936 2609.186
18 -0.30418838D+05 0.5340156 0.0000176 979.469 1555.954 EM
2180.179 2610.398
19 -0.30418436D+05 0.4027036 0.0000132 973.328 1551.926 EM
2189.042 2611.704
20 -0.30418129D+05 0.3064046 0.0000101 968.026 1548.176 EM
2196.722 2613.075
21 -0.30417894D+05 0.2353238 0.0000077 963.443 1544.680 EM
2203.387 2614.490
22 -0.30417711D+05 0.1824701 0.0000060 959.474 1541.419 EM
2209.180 2615.928
23 -0.30417569D+05 0.1428488 0.0000047 956.030 1538.375 EM
2214.223 2617.372
24 -0.30417456D+05 0.1128851 0.0000037 953.036 1535.533 EM
2218.621 2618.810
25 -0.30417366D+05 0.0900132 0.0000030 950.425 1532.882 EM
2222.463 2620.230
26 -0.30417293D+05 0.0723855 0.0000024 948.145 1530.408 EM
2225.823 2621.624
27 -0.30417235D+05 0.0586662 0.0000019 946.147 1528.102 EM
2228.768 2622.983
28 -0.30417187D+05 0.0478849 0.0000016 944.392 1525.953 EM
2231.352 2624.304
29 -0.30417147D+05 0.0393329 0.0000013 942.847 1523.951 EM
2233.622 2625.581
30 -0.30417115D+05 0.0324889 0.0000011 941.482 1522.088 EM
2235.619 2626.812
31 -0.30417088D+05 0.0269669 0.0000009 940.273 1520.355 EM
2237.377 2627.994
32 -0.30417066D+05 0.0224783 0.0000007 939.199 1518.745 EM
2238.927 2629.128
33 -0.30417047D+05 0.0188052 0.0000006 938.243 1517.250 EM
2240.295 2630.212
34 -0.30417031D+05 0.0157820 0.0000005 937.389 1515.862 EM
2241.503 2631.246
35 -0.30417018D+05 0.0132808 0.0000004 936.625 1514.575 EM
2242.569 2632.231
36 -0.30417006D+05 0.0112024 0.0000004 935.939 1513.381 EM
2243.512 2633.168
37 -0.30416957D+05 0.0492819 0.0000016 933.126 1502.565 FS
2248.978 2641.331
38 -0.30416947D+05 0.0101123 0.0000003 931.334 1501.135 FS
2249.251 2644.280
39 -0.30416944D+05 0.0031680 0.0000001 930.220 1499.791 FS
2249.835 2646.154
40 -0.30416943D+05 0.0011005 0.0000000 929.523 1499.542 FS
2249.687 2647.248
41 -0.30416942D+05 0.0004051 0.0000000 929.099 1499.249 FS
2249.729 2647.923
42 -0.30416942D+05 0.0001547 0.0000000 928.832 1499.206 FS
2249.629 2648.333
43 -0.30416942D+05 0.0000605 0.0000000 928.669 1499.130 FS
2249.610 2648.590
44 -0.30416942D+05 0.0000241 0.0000000 928.566 1499.125 FS
2249.560 2648.749
45 -0.30416942D+05 0.0000097 0.0000000 928.503 1499.100 FS
2249.546 2648.850
46 -0.30416942D+05 0.0000039 0.0000000 928.463 1499.102 FS
2249.522 2648.913
47 -0.30416942D+05 0.0000016 0.0000000 928.438 1499.092 FS
2249.516 2648.953
48 -0.30416942D+05 0.0000007 0.0000000 928.422 1499.094 FS
2249.506 2648.978
49 -0.30416942D+05 0.0000003 0.0000000 928.413 1499.089 FS
2249.503 2648.995
50 -0.30416942D+05 0.0000001 0.0000000 928.406 1499.091 FS
2249.498 2649.005
51 -0.30416942D+05 0.0000001 0.0000000 928.402 1499.089 FS
2249.498 2649.011
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
10 -0.30571321D+05 36.8511899 0.0012040 770.971 768.259 EM
3447.723 2339.048
11 -0.30543536D+05 27.7852812 0.0009089 768.861 834.657 EM
3401.908 2320.573
12 -0.30522489D+05 21.0466245 0.0006891 768.934 894.237 EM
3360.170 2302.660
13 -0.30505994D+05 16.4951239 0.0005404 770.519 947.648 EM
3321.840 2285.993
14 -0.30492869D+05 13.1257474 0.0004303 773.184 995.304 EM
3286.477 2271.036
15 -0.30482363D+05 10.5055069 0.0003445 776.628 1037.603 EM
3253.734 2258.035
16 -0.30473908D+05 8.4551717 0.0002774 780.633 1075.021 EM
3223.301 2247.045
17 -0.30467034D+05 6.8739543 0.0002256 785.034 1108.113 EM
3194.887 2237.966
18 -0.30461349D+05 5.6846157 0.0001866 789.704 1137.479 EM
3168.218 2230.600
19 -0.30456531D+05 4.8178663 0.0001582 794.543 1163.730 EM
3143.035 2224.691
20 -0.30452326D+05 4.2059508 0.0001381 799.476 1187.455 EM
3119.106 2219.964
21 -0.30448546D+05 3.7794165 0.0001241 804.445 1209.177 EM
3096.228 2216.151
22 -0.30445077D+05 3.4688643 0.0001139 809.407 1229.324 EM
3074.247 2213.023
23 -0.30441865D+05 3.2127042 0.0001055 814.332 1248.210 EM
3053.056 2210.403
24 -0.30438898D+05 2.9669148 0.0000975 819.198 1266.038 EM
3032.599 2208.165
25 -0.30436188D+05 2.7100684 0.0000890 823.991 1282.918 EM
3012.858 2206.233
26 -0.30433747D+05 2.4403456 0.0000802 828.699 1298.899 EM
2993.838 2204.564
27 -0.30431580D+05 2.1672252 0.0000712 833.311 1313.994 EM
2975.557 2203.138
28 -0.30429677D+05 1.9030337 0.0000625 837.816 1328.205 EM
2958.033 2201.946
29 -0.30428019D+05 1.6576668 0.0000545 842.205 1341.533 EM
2941.278 2200.984
30 -0.30426582D+05 1.4367989 0.0000472 846.469 1353.987 EM
2925.297 2200.248
31 -0.30425340D+05 1.2422828 0.0000408 850.600 1365.583 EM
2910.086 2199.731
32 -0.30424267D+05 1.0733584 0.0000353 854.590 1376.350 EM
2895.635 2199.426
33 -0.30423339D+05 0.9278399 0.0000305 858.434 1386.319 EM
2881.925 2199.321
34 -0.30422536D+05 0.8029744 0.0000264 862.128 1395.532 EM
2868.935 2199.405
35 -0.30421840D+05 0.6959569 0.0000229 865.670 1404.028 EM
2856.640 2199.661
36 -0.30421236D+05 0.6041906 0.0000199 869.059 1411.854 EM
2845.012 2200.075
37 -0.30420710D+05 0.5253886 0.0000173 872.295 1419.053 EM
2834.021 2200.632
38 -0.30418045D+05 2.6651004 0.0000876 891.317 1475.235 FS
2733.660 2225.789
39 -0.30417351D+05 0.6948308 0.0000228 904.437 1486.096 FS
2699.393 2236.075
40 -0.30417105D+05 0.2458751 0.0000081 913.057 1493.410 FS
2678.857 2240.676
41 -0.30417008D+05 0.0966761 0.0000032 918.605 1495.665 FS
2667.597 2244.133
42 -0.30416969D+05 0.0389502 0.0000013 922.158 1497.422 FS
2660.420 2245.999
43 -0.30416953D+05 0.0158774 0.0000005 924.420 1498.036 FS
2656.254 2247.290
44 -0.30416947D+05 0.0065060 0.0000002 925.864 1498.535 FS
2653.533 2248.068
45 -0.30416944D+05 0.0026731 0.0000001 926.780 1498.724 FS
2651.914 2248.582
46 -0.30416943D+05 0.0010999 0.0000000 927.366 1498.890 FS
2650.839 2248.904
47 -0.30416942D+05 0.0004531 0.0000000 927.738 1498.950 FS
2650.194 2249.118
48 -0.30416942D+05 0.0001868 0.0000000 927.976 1499.015 FS
2649.761 2249.249
49 -0.30416942D+05 0.0000772 0.0000000 928.127 1499.033 FS
2649.500 2249.340
50 -0.30416942D+05 0.0000319 0.0000000 928.224 1499.061 FS
2649.324 2249.391
51 -0.30416942D+05 0.0000132 0.0000000 928.286 1499.065 FS
2649.218 2249.431
52 -0.30416942D+05 0.0000055 0.0000000 928.325 1499.078 FS
2649.146 2249.451
53 -0.30416942D+05 0.0000023 0.0000000 928.351 1499.078 FS
2649.103 2249.468
54 -0.30416942D+05 0.0000010 0.0000000 928.367 1499.085 FS
2649.073 2249.475
55 -0.30416942D+05 0.0000004 0.0000000 928.377 1499.084 FS
2649.056 2249.484
56 -0.30416942D+05 0.0000002 0.0000000 928.384 1499.087 FS
2649.043 2249.486
57 -0.30416942D+05 0.0000001 0.0000000 928.388 1499.086 FS
2649.036 2249.490
Beginning Time: 23:00:15
Ending Time: 23:00:19
Elapsed Time: 00:00:04
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