Mplus VERSION 8 MUTHEN & MUTHEN 04/10/2017 4:43 AM INPUT INSTRUCTIONS TITLE: this is an example of a LCA with binary latent class indicators using automatic starting values with random starts DATA: FILE IS ex7.3.dat; VARIABLE: NAMES ARE u1-u4 x1-x10; USEVARIABLES = u1-u4; CLASSES = c (2); CATEGORICAL = u1-u4; AUXILIARY = x1-x10 (e); ANALYSIS: TYPE = MIXTURE; OUTPUT: TECH1 TECH8 TECH10; INPUT READING TERMINATED NORMALLY this is an example of a LCA with binary latent class indicators using automatic starting values with random starts SUMMARY OF ANALYSIS Number of groups 1 Number of observations 500 Number of dependent variables 4 Number of independent variables 0 Number of continuous latent variables 0 Number of categorical latent variables 1 Observed dependent variables Binary and ordered categorical (ordinal) U1 U2 U3 U4 Observed auxiliary variables X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 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 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 Input data file(s) ex7.3.dat Input data format FREE UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES U1 Category 1 0.678 339.000 Category 2 0.322 161.000 U2 Category 1 0.686 343.000 Category 2 0.314 157.000 U3 Category 1 0.322 161.000 Category 2 0.678 339.000 U4 Category 1 0.334 167.000 Category 2 0.666 333.000 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: -965.244 253358 2 -965.244 93468 3 -965.244 939021 8 -965.244 76974 16 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 WARNING: AUXILIARY (E) CAN GIVE BIASED RESULTS AND IS SUPERSEDED BY THE BCH AND DU3STEP OPTIONS. USE AUXILIARY (E) ONLY FOR METHODS RESEARCH PURPOSES. MODEL FIT INFORMATION Number of Free Parameters 9 Loglikelihood H0 Value -965.244 H0 Scaling Correction Factor 1.0131 for MLR Information Criteria Akaike (AIC) 1948.488 Bayesian (BIC) 1986.420 Sample-Size Adjusted BIC 1957.853 (n* = (n + 2) / 24) Chi-Square Test of Model Fit for the Binary and Ordered Categorical (Ordinal) Outcomes Pearson Chi-Square Value 6.287 Degrees of Freedom 6 P-Value 0.3918 Likelihood Ratio Chi-Square Value 5.605 Degrees of Freedom 6 P-Value 0.4688 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES BASED ON THE ESTIMATED MODEL Latent Classes 1 136.38041 0.27276 2 363.61959 0.72724 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES BASED ON ESTIMATED POSTERIOR PROBABILITIES Latent Classes 1 136.38064 0.27276 2 363.61936 0.72724 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP Class Counts and Proportions Latent Classes 1 127 0.25400 2 373 0.74600 CLASSIFICATION QUALITY Entropy 0.904 Average Latent Class Probabilities for Most Likely Latent Class Membership (Row) by Latent Class (Column) 1 2 1 0.986 0.014 2 0.030 0.970 Classification Probabilities for the Most Likely Latent Class Membership (Column) by Latent Class (Row) 1 2 1 0.918 0.082 2 0.005 0.995 Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column) by Latent Class (Row) 1 2 1 2.422 0.000 2 -5.339 0.000 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value Latent Class 1 Thresholds U1$1 -2.063 0.373 -5.536 0.000 U2$1 -1.724 0.300 -5.755 0.000 U3$1 2.331 0.390 5.985 0.000 U4$1 2.078 0.320 6.490 0.000 Latent Class 2 Thresholds U1$1 2.091 0.182 11.502 0.000 U2$1 2.056 0.180 11.401 0.000 U3$1 -2.187 0.203 -10.760 0.000 U4$1 -1.937 0.183 -10.613 0.000 Categorical Latent Variables Means C#1 -0.981 0.116 -8.468 0.000 RESULTS IN PROBABILITY SCALE Latent Class 1 U1 Category 1 0.113 0.037 3.024 0.002 Category 2 0.887 0.037 23.800 0.000 U2 Category 1 0.151 0.038 3.934 0.000 Category 2 0.849 0.038 22.056 0.000 U3 Category 1 0.911 0.031 28.987 0.000 Category 2 0.089 0.031 2.817 0.005 U4 Category 1 0.889 0.032 28.072 0.000 Category 2 0.111 0.032 3.514 0.000 Latent Class 2 U1 Category 1 0.890 0.018 50.016 0.000 Category 2 0.110 0.018 6.181 0.000 U2 Category 1 0.887 0.018 48.873 0.000 Category 2 0.113 0.018 6.256 0.000 U3 Category 1 0.101 0.018 5.472 0.000 Category 2 0.899 0.018 48.748 0.000 U4 Category 1 0.126 0.020 6.267 0.000 Category 2 0.874 0.020 43.498 0.000 LATENT CLASS ODDS RATIO RESULTS Latent Class 1 Compared to Latent Class 2 U1 Category > 1 63.673 25.877 2.461 0.014 U2 Category > 1 43.796 14.941 2.931 0.003 U3 Category > 1 0.011 0.005 2.351 0.019 U4 Category > 1 0.018 0.007 2.768 0.006 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.600E-01 (ratio of smallest to largest eigenvalue) EQUALITY TESTS OF MEANS ACROSS CLASSES USING POSTERIOR PROBABILITY-BASED MULTIPLE IMPUTATIONS WITH 1 DEGREE(S) OF FREEDOM FOR THE OVERALL TEST X1 Mean S.E. Class 1 1.660 0.146 Class 2 -1.984 0.067 Chi-Square P-Value Overall test 504.821 0.000 X2 Mean S.E. Class 1 1.613 0.153 Class 2 -1.975 0.063 Chi-Square P-Value Overall test 451.062 0.000 X3 Mean S.E. Class 1 0.855 0.099 Class 2 -0.961 0.057 Chi-Square P-Value Overall test 246.680 0.000 X4 Mean S.E. Class 1 0.653 0.099 Class 2 -0.946 0.055 Chi-Square P-Value Overall test 194.248 0.000 X5 Mean S.E. Class 1 0.085 0.094 Class 2 -0.037 0.054 Chi-Square P-Value Overall test 1.241 0.265 X6 Mean S.E. Class 1 -0.029 0.088 Class 2 -0.030 0.051 Chi-Square P-Value Overall test 0.000 0.994 X7 Mean S.E. Class 1 -0.681 0.110 Class 2 0.921 0.054 Chi-Square P-Value Overall test 165.266 0.000 X8 Mean S.E. Class 1 -0.793 0.103 Class 2 0.904 0.058 Chi-Square P-Value Overall test 194.849 0.000 X9 Mean S.E. Class 1 -1.511 0.152 Class 2 1.864 0.062 Chi-Square P-Value Overall test 408.496 0.000 X10 Mean S.E. Class 1 -1.743 0.154 Class 2 1.957 0.063 Chi-Square P-Value Overall test 484.687 0.000 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR LATENT CLASS 1 PARAMETER SPECIFICATION FOR LATENT CLASS 2 PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART LAMBDA(U) C#1 C#2 ________ ________ U1 1 2 U2 3 4 U3 5 6 U4 7 8 PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART ALPHA(C) C#1 C#2 ________ ________ 9 0 STARTING VALUES FOR LATENT CLASS 1 STARTING VALUES FOR LATENT CLASS 2 STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART LAMBDA(U) C#1 C#2 ________ ________ U1 0.255 -1.745 U2 0.219 -1.781 U3 1.745 -0.255 U4 1.690 -0.310 STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART ALPHA(C) C#1 C#2 ________ ________ 0.000 0.000 TECHNICAL 10 OUTPUT MODEL FIT INFORMATION FOR THE LATENT CLASS INDICATOR MODEL PART RESPONSE PATTERNS No. Pattern No. Pattern No. Pattern No. Pattern 1 1101 2 1000 3 0011 4 1100 5 0111 6 0010 7 0001 8 1011 9 1010 10 0101 11 1110 12 0100 13 0000 14 1111 15 0110 16 1001 RESPONSE PATTERN FREQUENCIES AND CHI-SQUARE CONTRIBUTIONS Response Frequency Standardized Chi-square Contribution Pattern Observed Estimated Residual Pearson Loglikelihood Deleted (z-score) 1 11.00 10.81 0.06 0.00 0.38 2 14.00 15.29 -0.33 0.11 -2.46 3 230.00 225.48 0.41 0.09 9.13 4 85.00 83.24 0.21 0.04 3.56 5 27.00 28.99 -0.38 0.14 -3.84 6 28.00 32.67 -0.84 0.67 -8.63 7 23.00 25.54 -0.52 0.25 -4.83 8 28.00 28.04 -0.01 0.00 -0.09 9 6.00 5.46 0.23 0.05 1.14 10 5.00 4.56 0.21 0.04 0.91 11 8.00 8.60 -0.21 0.04 -1.15 12 9.00 11.04 -0.62 0.38 -3.67 13 10.00 5.53 1.91 3.61 11.84 14 5.00 4.58 0.20 0.04 0.88 15 7.00 5.19 0.80 0.63 4.20 16 4.00 4.99 -0.44 0.19 -1.76 THE TOTAL PEARSON CHI-SQUARE CONTRIBUTION FROM EMPTY CELLS IS 0.00 UNIVARIATE MODEL FIT INFORMATION Estimated Probabilities Standardized Variable H1 H0 Residual (z-score) U1 Category 1 0.678 0.678 0.000 Category 2 0.322 0.322 0.000 Univariate Pearson Chi-Square 0.000 Univariate Log-Likelihood Chi-Square 0.000 U2 Category 1 0.686 0.686 0.000 Category 2 0.314 0.314 0.000 Univariate Pearson Chi-Square 0.000 Univariate Log-Likelihood Chi-Square 0.000 U3 Category 1 0.322 0.322 0.000 Category 2 0.678 0.678 0.000 Univariate Pearson Chi-Square 0.000 Univariate Log-Likelihood Chi-Square 0.000 U4 Category 1 0.334 0.334 0.000 Category 2 0.666 0.666 0.000 Univariate Pearson Chi-Square 0.000 Univariate Log-Likelihood Chi-Square 0.000 Overall Univariate Pearson Chi-Square 0.000 Overall Univariate Log-Likelihood Chi-Square 0.000 BIVARIATE MODEL FIT INFORMATION Estimated Probabilities Standardized Variable Variable H1 H0 Residual (z-score) U1 U2 Category 1 Category 1 0.582 0.578 0.161 Category 1 Category 2 0.096 0.100 -0.265 Category 2 Category 1 0.104 0.108 -0.256 Category 2 Category 2 0.218 0.214 0.193 Bivariate Pearson Chi-Square 0.162 Bivariate Log-Likelihood Chi-Square 0.163 U1 U3 Category 1 Category 1 0.094 0.093 0.050 Category 1 Category 2 0.584 0.585 -0.029 Category 2 Category 1 0.228 0.229 -0.034 Category 2 Category 2 0.094 0.093 0.050 Bivariate Pearson Chi-Square 0.006 Bivariate Log-Likelihood Chi-Square 0.006 U1 U4 Category 1 Category 1 0.108 0.109 -0.061 Category 1 Category 2 0.570 0.569 0.038 Category 2 Category 1 0.226 0.225 0.045 Category 2 Category 2 0.096 0.097 -0.064 Bivariate Pearson Chi-Square 0.009 Bivariate Log-Likelihood Chi-Square 0.009 U2 U3 Category 1 Category 1 0.102 0.103 -0.052 Category 1 Category 2 0.584 0.583 0.032 Category 2 Category 1 0.220 0.219 0.038 Category 2 Category 2 0.094 0.095 -0.053 Bivariate Pearson Chi-Square 0.007 Bivariate Log-Likelihood Chi-Square 0.007 U2 U4 Category 1 Category 1 0.116 0.118 -0.131 Category 1 Category 2 0.570 0.568 0.085 Category 2 Category 1 0.218 0.216 0.103 Category 2 Category 2 0.096 0.098 -0.142 Bivariate Pearson Chi-Square 0.045 Bivariate Log-Likelihood Chi-Square 0.045 U3 U4 Category 1 Category 1 0.236 0.230 0.309 Category 1 Category 2 0.086 0.092 -0.450 Category 2 Category 1 0.098 0.104 -0.426 Category 2 Category 2 0.580 0.574 0.263 Bivariate Pearson Chi-Square 0.450 Bivariate Log-Likelihood Chi-Square 0.456 Overall Bivariate Pearson Chi-Square 0.678 Overall Bivariate Log-Likelihood Chi-Square 0.686 TECHNICAL 8 OUTPUT INITIAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.13869879D+04 0.0000000 0.0000000 251.389 248.611 EM 2 -0.12702693D+04 116.7185367 0.0841525 251.530 248.470 EM 3 -0.12589112D+04 11.3581502 0.0089415 251.555 248.445 EM 4 -0.12478774D+04 11.0337489 0.0087645 252.462 247.538 EM 5 -0.11983398D+04 49.5376061 0.0396975 262.713 237.287 EM 6 -0.10772317D+04 121.1080636 0.1010632 290.929 209.071 EM 7 -0.10051822D+04 72.0495455 0.0668840 313.813 186.187 EM 8 -0.98532143D+03 19.8607722 0.0197584 330.012 169.988 EM 9 -0.97512648D+03 10.1949488 0.0103468 340.776 159.224 EM 10 -0.97007663D+03 5.0498505 0.0051787 347.927 152.073 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.15116121D+04 0.0000000 0.0000000 281.355 218.645 EM 2 -0.11480793D+04 363.5328009 0.2404934 252.171 247.829 EM 3 -0.10461566D+04 101.9227111 0.0887767 221.807 278.193 EM 4 -0.10145372D+04 31.6194102 0.0302244 200.208 299.792 EM 5 -0.99710032D+03 17.4368618 0.0171870 181.211 318.789 EM 6 -0.98230351D+03 14.7968176 0.0148398 166.831 333.169 EM 7 -0.97355276D+03 8.7507460 0.0089084 157.206 342.794 EM 8 -0.96932847D+03 4.2242926 0.0043390 150.729 349.271 EM 9 -0.96727928D+03 2.0491854 0.0021140 146.270 353.730 EM 10 -0.96625386D+03 1.0254204 0.0010601 143.175 356.825 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.15000208D+04 0.0000000 0.0000000 113.698 386.302 EM 2 -0.97385583D+03 526.1649184 0.3507718 124.842 375.158 EM 3 -0.96721955D+03 6.6362839 0.0068144 129.247 370.753 EM 4 -0.96593581D+03 1.2837366 0.0013272 131.748 368.252 EM 5 -0.96551949D+03 0.4163233 0.0004310 133.325 366.675 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.15446417D+04 0.0000000 0.0000000 118.166 381.834 EM 2 -0.10562425D+04 488.3992421 0.3161893 135.926 364.074 EM 3 -0.96991442D+03 86.3280665 0.0817313 138.431 361.569 EM 4 -0.96549509D+03 4.4193308 0.0045564 137.973 362.027 EM 5 -0.96528859D+03 0.2065026 0.0002139 137.474 362.526 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.13675461D+04 0.0000000 0.0000000 135.763 364.237 EM 2 -0.12613574D+04 106.1887504 0.0776491 134.283 365.717 EM 3 -0.12464494D+04 14.9080102 0.0118190 138.271 361.729 EM 4 -0.11789977D+04 67.4516817 0.0541151 150.650 349.350 EM 5 -0.10213105D+04 157.6872253 0.1337468 152.387 347.613 EM 6 -0.96950196D+03 51.8084932 0.0507275 148.143 351.857 EM 7 -0.96669533D+03 2.8066284 0.0028949 144.516 355.484 EM 8 -0.96594213D+03 0.7532030 0.0007792 141.950 358.050 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.19471580D+04 0.0000000 0.0000000 56.318 443.682 EM 2 -0.12804435D+04 666.7144669 0.3424039 37.930 462.070 EM 3 -0.12644716D+04 15.9719368 0.0124738 32.331 467.669 EM 4 -0.12584280D+04 6.0435562 0.0047795 31.937 468.063 EM 5 -0.12467505D+04 11.6775060 0.0092794 40.742 459.258 EM 6 -0.11636209D+04 83.1295947 0.0666770 84.062 415.938 EM 7 -0.10038791D+04 159.7418389 0.1372800 113.731 386.269 EM 8 -0.97199363D+03 31.8854758 0.0317623 124.026 375.974 EM 9 -0.96723580D+03 4.7578244 0.0048949 128.854 371.146 EM 10 -0.96596815D+03 1.2676543 0.0013106 131.557 368.443 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.22235298D+04 0.0000000 0.0000000 292.184 207.816 EM 2 -0.11875514D+04 1035.9783955 0.4659161 297.168 202.832 EM 3 -0.10399659D+04 147.5854958 0.1242771 315.979 184.021 EM 4 -0.98585714D+03 54.1087592 0.0520294 331.212 168.788 EM 5 -0.97461678D+03 11.2403661 0.0114016 341.523 158.477 EM 6 -0.96979329D+03 4.8234909 0.0049491 348.426 151.574 EM 7 -0.96750381D+03 2.2894796 0.0023608 353.153 146.847 EM 8 -0.96636652D+03 1.1372858 0.0011755 356.427 143.573 EM 9 -0.96579457D+03 0.5719482 0.0005919 358.696 141.304 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.16319304D+04 0.0000000 0.0000000 224.658 275.342 EM 2 -0.10255918D+04 606.3386568 0.3715469 212.294 287.706 EM 3 -0.10188865D+04 6.7053289 0.0065380 201.717 298.283 EM 4 -0.10102510D+04 8.6354763 0.0084754 189.385 310.615 EM 5 -0.99498339D+03 15.2675833 0.0151127 174.052 325.948 EM 6 -0.97906686D+03 15.9165393 0.0159968 161.654 338.346 EM 7 -0.97122814D+03 7.8387109 0.0080063 153.570 346.430 EM 8 -0.96809300D+03 3.1351488 0.0032280 148.174 351.826 EM 9 -0.96664685D+03 1.4461480 0.0014938 144.477 355.523 EM 10 -0.96593282D+03 0.7140328 0.0007387 141.924 358.076 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.16040280D+04 0.0000000 0.0000000 447.277 52.723 EM 2 -0.12321579D+04 371.8700258 0.2318351 432.132 67.868 EM 3 -0.10592858D+04 172.8721781 0.1403003 391.714 108.286 EM 4 -0.97851276D+03 80.7730107 0.0762523 380.133 119.867 EM 5 -0.97047796D+03 8.0348000 0.0082112 373.900 126.100 EM 6 -0.96687787D+03 3.6000867 0.0037096 370.045 129.955 EM 7 -0.96579270D+03 1.0851748 0.0011223 367.759 132.241 EM 8 -0.96545790D+03 0.3348001 0.0003467 366.335 133.665 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.22793079D+04 0.0000000 0.0000000 332.472 167.528 EM 2 -0.11069887D+04 1172.3192038 0.5143312 285.583 214.417 EM 3 -0.10583793D+04 48.6093468 0.0439113 256.668 243.332 EM 4 -0.10413742D+04 17.0051299 0.0160671 238.648 261.352 EM 5 -0.10299223D+04 11.4519536 0.0109970 221.427 278.573 EM 6 -0.10161584D+04 13.7639034 0.0133640 203.015 296.985 EM 7 -0.10005327D+04 15.6256929 0.0153772 184.885 315.115 EM 8 -0.98551375D+03 15.0189203 0.0150109 169.659 330.341 EM 9 -0.97515262D+03 10.3611266 0.0105134 159.040 340.960 EM 10 -0.97002150D+03 5.1311241 0.0052619 151.949 348.051 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.31179791D+04 0.0000000 0.0000000 382.559 117.441 EM 2 -0.12444524D+04 1873.5266839 0.6008785 373.230 126.770 EM 3 -0.11699978D+04 74.4546229 0.0598292 329.503 170.497 EM 4 -0.10979763D+04 72.0214727 0.0615569 284.199 215.801 EM 5 -0.10574964D+04 40.4798461 0.0368677 257.446 242.554 EM 6 -0.10422538D+04 15.2426327 0.0144139 238.639 261.361 EM 7 -0.10289875D+04 13.2662797 0.0127285 218.537 281.463 EM 8 -0.10120582D+04 16.9292825 0.0164524 196.832 303.168 EM 9 -0.99365065D+03 18.4075940 0.0181883 177.778 322.222 EM 10 -0.97977343D+03 13.8772158 0.0139659 164.351 335.649 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.18054063D+04 0.0000000 0.0000000 182.736 317.264 EM 2 -0.10249527D+04 780.4535851 0.4322870 170.985 329.015 EM 3 -0.98161080D+03 43.3418991 0.0422867 159.664 340.336 EM 4 -0.97097898D+03 10.6318208 0.0108310 152.137 347.863 EM 5 -0.96772712D+03 3.2518590 0.0033491 147.145 352.855 EM 6 -0.96642920D+03 1.2979202 0.0013412 143.746 356.254 EM 7 -0.96581851D+03 0.6106819 0.0006319 141.412 358.588 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.18897512D+04 0.0000000 0.0000000 216.195 283.805 EM 2 -0.12351379D+04 654.6133029 0.3464018 215.222 284.778 EM 3 -0.11172058D+04 117.9321629 0.0954810 199.934 300.066 EM 4 -0.10069352D+04 110.2705471 0.0987021 179.964 320.036 EM 5 -0.98155888D+03 25.3763339 0.0252016 165.866 334.134 EM 6 -0.97304404D+03 8.5148430 0.0086748 156.535 343.465 EM 7 -0.96907828D+03 3.9657591 0.0040756 150.257 349.743 EM 8 -0.96715327D+03 1.9250017 0.0019864 145.938 354.062 EM 9 -0.96618991D+03 0.9633622 0.0009961 142.943 357.057 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.13427210D+04 0.0000000 0.0000000 176.971 323.029 EM 2 -0.98958236D+03 353.1386200 0.2630022 163.938 336.062 EM 3 -0.97308015D+03 16.5022106 0.0166759 155.087 344.913 EM 4 -0.96865755D+03 4.4225968 0.0045449 149.203 350.797 EM 5 -0.96689174D+03 1.7658115 0.0018229 145.182 354.818 EM 6 -0.96605103D+03 0.8407141 0.0008695 142.408 357.592 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.28159305D+04 0.0000000 0.0000000 417.108 82.892 EM 2 -0.12603418D+04 1555.5886958 0.5524244 417.766 82.234 EM 3 -0.12072986D+04 53.0432761 0.0420864 384.047 115.953 EM 4 -0.11468888D+04 60.4098112 0.0500372 332.497 167.503 EM 5 -0.10908355D+04 56.0532467 0.0488742 290.983 209.017 EM 6 -0.10616778D+04 29.1577338 0.0267297 268.702 231.298 EM 7 -0.10505687D+04 11.1090788 0.0104637 253.023 246.977 EM 8 -0.10391866D+04 11.3821361 0.0108343 234.269 265.731 EM 9 -0.10232461D+04 15.9404753 0.0153394 211.624 288.376 EM 10 -0.10044636D+04 18.7824995 0.0183558 189.458 310.542 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.16054417D+04 0.0000000 0.0000000 269.762 230.238 EM 2 -0.12634854D+04 341.9563118 0.2129983 270.456 229.544 EM 3 -0.12208126D+04 42.6728112 0.0337739 274.025 225.975 EM 4 -0.11078778D+04 112.9347926 0.0925079 294.720 205.280 EM 5 -0.10082026D+04 99.6752613 0.0899695 316.679 183.321 EM 6 -0.98366031D+03 24.5422571 0.0243426 331.994 168.006 EM 7 -0.97409946D+03 9.5608524 0.0097197 342.095 157.905 EM 8 -0.96956995D+03 4.5295144 0.0046500 348.826 151.174 EM 9 -0.96739359D+03 2.1763610 0.0022447 353.433 146.567 EM 10 -0.96631033D+03 1.0832593 0.0011198 356.623 143.377 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.13869042D+04 0.0000000 0.0000000 449.238 50.762 EM 2 -0.10835166D+04 303.3876494 0.2187517 400.993 99.007 EM 3 -0.98367326D+03 99.8432979 0.0921475 382.883 117.117 EM 4 -0.97028845D+03 13.3848041 0.0136070 374.683 125.317 EM 5 -0.96685733D+03 3.4311200 0.0035362 370.493 129.507 EM 6 -0.96584854D+03 1.0087921 0.0010434 368.058 131.942 EM 7 -0.96548979D+03 0.3587519 0.0003714 366.536 133.464 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.29268154D+04 0.0000000 0.0000000 273.852 226.148 EM 2 -0.10620013D+04 1864.8140480 0.6371478 294.260 205.740 EM 3 -0.10082281D+04 53.7732103 0.0506338 310.485 189.515 EM 4 -0.99157992D+03 16.6481976 0.0165123 326.036 173.964 EM 5 -0.97825706D+03 13.3228593 0.0134360 337.905 162.095 EM 6 -0.97139918D+03 6.8578806 0.0070103 345.913 154.087 EM 7 -0.96827623D+03 3.1229490 0.0032149 351.394 148.606 EM 8 -0.96675415D+03 1.5220842 0.0015720 355.197 144.803 EM 9 -0.96598941D+03 0.7647408 0.0007910 357.841 142.159 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.25092236D+04 0.0000000 0.0000000 202.866 297.134 EM 2 -0.10372505D+04 1471.9731893 0.5866249 186.786 313.214 EM 3 -0.99304514D+03 44.2053167 0.0426178 170.977 329.023 EM 4 -0.97684831D+03 16.1968297 0.0163103 159.636 340.364 EM 5 -0.97035820D+03 6.4901087 0.0066439 152.254 347.746 EM 6 -0.96770291D+03 2.6552841 0.0027364 147.279 352.721 EM 7 -0.96645399D+03 1.2489192 0.0012906 143.859 356.141 EM 8 -0.96583617D+03 0.6178279 0.0006393 141.497 358.503 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.29591680D+04 0.0000000 0.0000000 62.479 437.521 EM 2 -0.12835674D+04 1675.6005719 0.5662404 41.399 458.601 EM 3 -0.12593470D+04 24.2203553 0.0188696 40.244 459.756 EM 4 -0.12389982D+04 20.3488665 0.0161583 56.254 443.746 EM 5 -0.12063418D+04 32.6564078 0.0263571 93.665 406.335 EM 6 -0.11587874D+04 47.5543186 0.0394203 145.799 354.201 EM 7 -0.11054792D+04 53.3082606 0.0460035 191.942 308.058 EM 8 -0.10711046D+04 34.3745789 0.0310947 217.391 282.609 EM 9 -0.10595257D+04 11.5789253 0.0108103 229.920 270.080 EM 10 -0.10529623D+04 6.5634056 0.0061947 241.324 258.676 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.15746821D+04 0.0000000 0.0000000 372.576 127.424 EM 2 -0.12126864D+04 361.9957095 0.2298849 363.324 136.676 EM 3 -0.10471607D+04 165.5257274 0.1364951 354.143 145.857 EM 4 -0.96978319D+03 77.3774808 0.0738927 355.799 144.201 EM 5 -0.96600353D+03 3.7796633 0.0038974 358.221 141.779 EM 6 -0.96556698D+03 0.4365451 0.0004519 359.958 140.042 EM FINAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 5 -0.96528859D+03 0.2065026 0.0002139 137.474 362.526 EM 6 -0.96525915D+03 0.0294404 0.0000305 137.119 362.881 EM 7 -0.96525050D+03 0.0086493 0.0000090 136.878 363.122 EM 8 -0.96524696D+03 0.0035394 0.0000037 136.715 363.285 EM 9 -0.96524539D+03 0.0015734 0.0000016 136.606 363.394 EM 10 -0.96524467D+03 0.0007113 0.0000007 136.532 363.468 EM 11 -0.96524435D+03 0.0003224 0.0000003 136.483 363.517 EM 12 -0.96524421D+03 0.0001461 0.0000002 136.449 363.551 EM 13 -0.96524414D+03 0.0000662 0.0000001 136.427 363.573 EM 14 -0.96524411D+03 0.0000299 0.0000000 136.412 363.588 EM 15 -0.96524410D+03 0.0000135 0.0000000 136.402 363.598 EM 16 -0.96524409D+03 0.0000061 0.0000000 136.395 363.605 EM 17 -0.96524409D+03 0.0000028 0.0000000 136.390 363.610 EM 18 -0.96524409D+03 0.0000013 0.0000000 136.387 363.613 EM 19 -0.96524409D+03 0.0000006 0.0000000 136.385 363.615 EM 20 -0.96524408D+03 0.0000003 0.0000000 136.384 363.616 EM 21 -0.96524408D+03 0.0000001 0.0000000 136.383 363.617 EM 22 -0.96524408D+03 0.0000001 0.0000000 136.382 363.618 EM 23 -0.96524408D+03 0.0000000 0.0000000 136.382 363.618 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8 8 -0.96545790D+03 0.3348001 0.0003467 366.335 133.665 EM 9 -0.96533377D+03 0.1241303 0.0001286 365.418 134.582 EM 10 -0.96528297D+03 0.0507996 0.0000526 364.817 135.183 EM 11 -0.96526122D+03 0.0217444 0.0000225 364.420 135.580 EM 12 -0.96525171D+03 0.0095144 0.0000099 364.155 135.845 EM 13 -0.96524749D+03 0.0042133 0.0000044 363.979 136.021 EM 14 -0.96524561D+03 0.0018791 0.0000019 363.860 136.140 EM 15 -0.96524477D+03 0.0008418 0.0000009 363.781 136.219 EM 16 -0.96524439D+03 0.0003782 0.0000004 363.728 136.272 EM 17 -0.96524422D+03 0.0001703 0.0000002 363.692 136.308 EM 18 -0.96524415D+03 0.0000767 0.0000001 363.668 136.332 EM 19 -0.96524411D+03 0.0000346 0.0000000 363.652 136.348 EM 20 -0.96524410D+03 0.0000156 0.0000000 363.641 136.359 EM 21 -0.96524409D+03 0.0000071 0.0000000 363.634 136.366 EM 22 -0.96524409D+03 0.0000032 0.0000000 363.629 136.371 EM 23 -0.96524409D+03 0.0000014 0.0000000 363.626 136.374 EM 24 -0.96524409D+03 0.0000007 0.0000000 363.623 136.377 EM 25 -0.96524408D+03 0.0000003 0.0000000 363.622 136.378 EM 26 -0.96524408D+03 0.0000001 0.0000000 363.621 136.379 EM 27 -0.96524408D+03 0.0000001 0.0000000 363.620 136.380 EM 28 -0.96524408D+03 0.0000000 0.0000000 363.620 136.380 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16 7 -0.96548979D+03 0.3587519 0.0003714 366.536 133.464 EM 8 -0.96534827D+03 0.1415246 0.0001466 365.554 134.446 EM 9 -0.96528932D+03 0.0589420 0.0000611 364.909 135.091 EM 10 -0.96526401D+03 0.0253123 0.0000262 364.481 135.519 EM 11 -0.96525294D+03 0.0110712 0.0000115 364.197 135.803 EM 12 -0.96524804D+03 0.0048978 0.0000051 364.006 135.994 EM 13 -0.96524586D+03 0.0021825 0.0000023 363.879 136.121 EM 14 -0.96524488D+03 0.0009772 0.0000010 363.794 136.206 EM 15 -0.96524444D+03 0.0004388 0.0000005 363.736 136.264 EM 16 -0.96524425D+03 0.0001975 0.0000002 363.698 136.302 EM 17 -0.96524416D+03 0.0000890 0.0000001 363.672 136.328 EM 18 -0.96524412D+03 0.0000401 0.0000000 363.654 136.346 EM 19 -0.96524410D+03 0.0000181 0.0000000 363.643 136.357 EM 20 -0.96524409D+03 0.0000082 0.0000000 363.635 136.365 EM 21 -0.96524409D+03 0.0000037 0.0000000 363.630 136.370 EM 22 -0.96524409D+03 0.0000017 0.0000000 363.626 136.374 EM 23 -0.96524409D+03 0.0000008 0.0000000 363.624 136.376 EM 24 -0.96524408D+03 0.0000003 0.0000000 363.622 136.378 EM 25 -0.96524408D+03 0.0000002 0.0000000 363.621 136.379 EM 26 -0.96524408D+03 0.0000001 0.0000000 363.620 136.380 EM 27 -0.96524408D+03 0.0000000 0.0000000 363.620 136.380 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2 5 -0.96551949D+03 0.4163233 0.0004310 133.325 366.675 EM 6 -0.96535997D+03 0.1595151 0.0001652 134.351 365.649 EM 7 -0.96529424D+03 0.0657366 0.0000681 135.027 364.973 EM 8 -0.96526614D+03 0.0281004 0.0000291 135.475 364.525 EM 9 -0.96525388D+03 0.0122619 0.0000127 135.774 364.226 EM 10 -0.96524846D+03 0.0054174 0.0000056 135.974 364.026 EM 11 -0.96524605D+03 0.0024121 0.0000025 136.108 363.892 EM 12 -0.96524497D+03 0.0010794 0.0000011 136.198 363.802 EM 13 -0.96524448D+03 0.0004846 0.0000005 136.258 363.742 EM 14 -0.96524426D+03 0.0002180 0.0000002 136.298 363.702 EM 15 -0.96524417D+03 0.0000982 0.0000001 136.325 363.675 EM 16 -0.96524412D+03 0.0000443 0.0000000 136.344 363.656 EM 17 -0.96524410D+03 0.0000200 0.0000000 136.356 363.644 EM 18 -0.96524409D+03 0.0000090 0.0000000 136.364 363.636 EM 19 -0.96524409D+03 0.0000041 0.0000000 136.370 363.630 EM 20 -0.96524409D+03 0.0000018 0.0000000 136.373 363.627 EM 21 -0.96524409D+03 0.0000008 0.0000000 136.376 363.624 EM 22 -0.96524408D+03 0.0000004 0.0000000 136.378 363.622 EM 23 -0.96524408D+03 0.0000002 0.0000000 136.379 363.621 EM 24 -0.96524408D+03 0.0000001 0.0000000 136.380 363.620 EM 25 -0.96524408D+03 0.0000000 0.0000000 136.380 363.620 EM 26 -0.96524408D+03 0.0000000 0.0000000 136.380 363.620 EM Beginning Time: 04:43:50 Ending Time: 04:43:50 Elapsed Time: 00:00:00 MUTHEN & MUTHEN 3463 Stoner Ave. Los Angeles, CA 90066 Tel: (310) 391-9971 Fax: (310) 391-8971 Web: www.StatModel.com Support: 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