Mplus VERSION 8.8 MUTHEN & MUTHEN 04/19/2022 11:13 PM 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 1 136.38064 0.27276 2 363.61936 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 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.600E-01 (ratio of smallest to largest eigenvalue) RESULTS IN PROBABILITY SCALE Two-Tailed Estimate S.E. Est./S.E. P-Value 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 INDICATOR ODDS RATIOS FOR THE LATENT CLASSES 95% C.I. Estimate S.E. Lower 2.5% Upper 2.5% Latent Class 1 Compared to Latent Class 2 U1 Category > 1 63.673 25.877 28.708 141.221 U2 Category > 1 43.796 14.941 22.441 85.473 U3 Category > 1 0.011 0.005 0.005 0.025 U4 Category > 1 0.018 0.007 0.009 0.037 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 Overall Univariate Pearson Chi-Square 0.000 Overall Univariate Log-Likelihood Chi-Square 0.000 Overall Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 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 Number of Significant Standardized Residuals 0 Overall Bivariate Pearson Chi-Square 0.678 Overall Bivariate Log-Likelihood Chi-Square 0.686 Overall Number of Significant Standardized Residuals 0 UNIVARIATE DISTRIBUTION FIT FOR CLASS 1 Variable Observed Estimated Residual (Obs.-Est.) Stand. Residual U1 Category 1 0.113 0.113 0.000 0.000 Category 2 0.887 0.887 0.000 0.000 U2 Category 1 0.151 0.151 0.000 0.000 Category 2 0.849 0.849 0.000 0.000 U3 Category 1 0.911 0.911 0.000 0.000 Category 2 0.089 0.089 0.000 0.000 U4 Category 1 0.889 0.889 0.000 0.000 Category 2 0.111 0.111 0.000 0.000 BIVARIATE DISTRIBUTIONS FIT FOR CLASS 1 Variable Variable Observed Estimated Residual (Obs.-Est.) Stand. Residual U1 U2 Category 1 Category 1 0.028 0.017 0.011 0.974 Category 1 Category 2 0.085 0.096 -0.011 -0.429 Category 2 Category 1 0.124 0.134 -0.011 -0.370 Category 2 Category 2 0.764 0.753 0.011 0.293 U1 U3 Category 1 Category 1 0.100 0.103 -0.002 -0.092 Category 1 Category 2 0.012 0.010 0.002 0.280 Category 2 Category 1 0.811 0.809 0.002 0.071 Category 2 Category 2 0.076 0.079 -0.002 -0.103 U1 U4 Category 1 Category 1 0.100 0.100 -0.001 -0.027 Category 1 Category 2 0.013 0.013 0.001 0.073 Category 2 Category 1 0.789 0.789 0.001 0.020 Category 2 Category 2 0.098 0.099 -0.001 -0.027 U2 U3 Category 1 Category 1 0.137 0.138 -0.001 -0.029 Category 1 Category 2 0.014 0.013 0.001 0.088 Category 2 Category 1 0.774 0.773 0.001 0.024 Category 2 Category 2 0.074 0.075 -0.001 -0.038 U2 U4 Category 1 Category 1 0.137 0.135 0.003 0.098 Category 1 Category 2 0.014 0.017 -0.003 -0.260 Category 2 Category 1 0.751 0.754 -0.003 -0.078 Category 2 Category 2 0.097 0.094 0.003 0.114 U3 U4 Category 1 Category 1 0.811 0.810 0.001 0.018 Category 1 Category 2 0.101 0.101 -0.001 -0.024 Category 2 Category 1 0.078 0.079 -0.001 -0.027 Category 2 Category 2 0.010 0.010 0.001 0.073 UNIVARIATE DISTRIBUTION FIT FOR CLASS 2 Variable Observed Estimated Residual (Obs.-Est.) Stand. Residual U1 Category 1 0.890 0.890 0.000 0.000 Category 2 0.110 0.110 0.000 0.000 U2 Category 1 0.887 0.887 0.000 0.000 Category 2 0.113 0.113 0.000 0.000 U3 Category 1 0.101 0.101 0.000 0.000 Category 2 0.899 0.899 0.000 0.000 U4 Category 1 0.126 0.126 0.000 0.000 Category 2 0.874 0.874 0.000 0.000 BIVARIATE DISTRIBUTIONS FIT FOR CLASS 2 Variable Variable Observed Estimated Residual (Obs.-Est.) Stand. Residual U1 U2 Category 1 Category 1 0.790 0.789 0.001 0.039 Category 1 Category 2 0.100 0.101 -0.001 -0.052 Category 2 Category 1 0.097 0.098 -0.001 -0.053 Category 2 Category 2 0.013 0.012 0.001 0.142 U1 U3 Category 1 Category 1 0.092 0.090 0.002 0.119 Category 1 Category 2 0.798 0.800 -0.002 -0.085 Category 2 Category 1 0.009 0.011 -0.002 -0.324 Category 2 Category 2 0.101 0.099 0.002 0.114 U1 U4 Category 1 Category 1 0.111 0.112 -0.001 -0.054 Category 1 Category 2 0.779 0.778 0.001 0.041 Category 2 Category 1 0.015 0.014 0.001 0.147 Category 2 Category 2 0.095 0.096 -0.001 -0.058 U2 U3 Category 1 Category 1 0.089 0.089 -0.001 -0.043 Category 1 Category 2 0.798 0.797 0.001 0.030 Category 2 Category 1 0.012 0.011 0.001 0.114 Category 2 Category 2 0.101 0.102 -0.001 -0.040 U2 U4 Category 1 Category 1 0.108 0.112 -0.004 -0.222 Category 1 Category 2 0.779 0.775 0.004 0.168 Category 2 Category 1 0.018 0.014 0.004 0.590 Category 2 Category 2 0.096 0.099 -0.004 -0.234 U3 U4 Category 1 Category 1 0.020 0.013 0.008 1.321 Category 1 Category 2 0.080 0.088 -0.008 -0.522 Category 2 Category 1 0.105 0.113 -0.008 -0.467 Category 2 Category 2 0.794 0.786 0.008 0.361 TECHNICAL 8 OUTPUT INITIAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.13869879D+04 0.0000000 0.0000000 EM 2 -0.12702693D+04 116.7185367 0.0841525 EM 3 -0.12589112D+04 11.3581502 0.0089415 EM 4 -0.12478774D+04 11.0337489 0.0087645 EM 5 -0.11983398D+04 49.5376061 0.0396975 EM 6 -0.10772317D+04 121.1080636 0.1010632 EM 7 -0.10051822D+04 72.0495455 0.0668840 EM 8 -0.98532143D+03 19.8607722 0.0197584 EM 9 -0.97512648D+03 10.1949488 0.0103468 EM 10 -0.97007663D+03 5.0498505 0.0051787 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.15116121D+04 0.0000000 0.0000000 EM 2 -0.11480793D+04 363.5328009 0.2404934 EM 3 -0.10461566D+04 101.9227111 0.0887767 EM 4 -0.10145372D+04 31.6194102 0.0302244 EM 5 -0.99710032D+03 17.4368618 0.0171870 EM 6 -0.98230351D+03 14.7968176 0.0148398 EM 7 -0.97355276D+03 8.7507460 0.0089084 EM 8 -0.96932847D+03 4.2242926 0.0043390 EM 9 -0.96727928D+03 2.0491854 0.0021140 EM 10 -0.96625386D+03 1.0254204 0.0010601 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.15000208D+04 0.0000000 0.0000000 EM 2 -0.97385583D+03 526.1649184 0.3507718 EM 3 -0.96721955D+03 6.6362839 0.0068144 EM 4 -0.96593581D+03 1.2837366 0.0013272 EM 5 -0.96551949D+03 0.4163233 0.0004310 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.15446417D+04 0.0000000 0.0000000 EM 2 -0.10562425D+04 488.3992421 0.3161893 EM 3 -0.96991442D+03 86.3280665 0.0817313 EM 4 -0.96549509D+03 4.4193308 0.0045564 EM 5 -0.96528859D+03 0.2065026 0.0002139 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.13675461D+04 0.0000000 0.0000000 EM 2 -0.12613574D+04 106.1887504 0.0776491 EM 3 -0.12464494D+04 14.9080102 0.0118190 EM 4 -0.11789977D+04 67.4516817 0.0541151 EM 5 -0.10213105D+04 157.6872253 0.1337468 EM 6 -0.96950196D+03 51.8084932 0.0507275 EM 7 -0.96669533D+03 2.8066284 0.0028949 EM 8 -0.96594213D+03 0.7532030 0.0007792 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.19471580D+04 0.0000000 0.0000000 EM 2 -0.12804435D+04 666.7144669 0.3424039 EM 3 -0.12644716D+04 15.9719368 0.0124738 EM 4 -0.12584280D+04 6.0435562 0.0047795 EM 5 -0.12467505D+04 11.6775060 0.0092794 EM 6 -0.11636209D+04 83.1295947 0.0666770 EM 7 -0.10038791D+04 159.7418389 0.1372800 EM 8 -0.97199363D+03 31.8854758 0.0317623 EM 9 -0.96723580D+03 4.7578244 0.0048949 EM 10 -0.96596815D+03 1.2676543 0.0013106 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.22235298D+04 0.0000000 0.0000000 EM 2 -0.11875514D+04 1035.9783955 0.4659161 EM 3 -0.10399659D+04 147.5854958 0.1242771 EM 4 -0.98585714D+03 54.1087592 0.0520294 EM 5 -0.97461678D+03 11.2403661 0.0114016 EM 6 -0.96979329D+03 4.8234909 0.0049491 EM 7 -0.96750381D+03 2.2894796 0.0023608 EM 8 -0.96636652D+03 1.1372858 0.0011755 EM 9 -0.96579457D+03 0.5719482 0.0005919 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.16319304D+04 0.0000000 0.0000000 EM 2 -0.10255918D+04 606.3386568 0.3715469 EM 3 -0.10188865D+04 6.7053289 0.0065380 EM 4 -0.10102510D+04 8.6354763 0.0084754 EM 5 -0.99498339D+03 15.2675833 0.0151127 EM 6 -0.97906686D+03 15.9165393 0.0159968 EM 7 -0.97122814D+03 7.8387109 0.0080063 EM 8 -0.96809300D+03 3.1351488 0.0032280 EM 9 -0.96664685D+03 1.4461480 0.0014938 EM 10 -0.96593282D+03 0.7140328 0.0007387 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.16040280D+04 0.0000000 0.0000000 EM 2 -0.12321579D+04 371.8700258 0.2318351 EM 3 -0.10592858D+04 172.8721781 0.1403003 EM 4 -0.97851276D+03 80.7730107 0.0762523 EM 5 -0.97047796D+03 8.0348000 0.0082112 EM 6 -0.96687787D+03 3.6000867 0.0037096 EM 7 -0.96579270D+03 1.0851748 0.0011223 EM 8 -0.96545790D+03 0.3348001 0.0003467 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.22793079D+04 0.0000000 0.0000000 EM 2 -0.11069887D+04 1172.3192038 0.5143312 EM 3 -0.10583793D+04 48.6093468 0.0439113 EM 4 -0.10413742D+04 17.0051299 0.0160671 EM 5 -0.10299223D+04 11.4519536 0.0109970 EM 6 -0.10161584D+04 13.7639034 0.0133640 EM 7 -0.10005327D+04 15.6256929 0.0153772 EM 8 -0.98551375D+03 15.0189203 0.0150109 EM 9 -0.97515262D+03 10.3611266 0.0105134 EM 10 -0.97002150D+03 5.1311241 0.0052619 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.31179791D+04 0.0000000 0.0000000 EM 2 -0.12444524D+04 1873.5266839 0.6008785 EM 3 -0.11699978D+04 74.4546229 0.0598292 EM 4 -0.10979763D+04 72.0214727 0.0615569 EM 5 -0.10574964D+04 40.4798461 0.0368677 EM 6 -0.10422538D+04 15.2426327 0.0144139 EM 7 -0.10289875D+04 13.2662797 0.0127285 EM 8 -0.10120582D+04 16.9292825 0.0164524 EM 9 -0.99365065D+03 18.4075940 0.0181883 EM 10 -0.97977343D+03 13.8772158 0.0139659 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.18054063D+04 0.0000000 0.0000000 EM 2 -0.10249527D+04 780.4535851 0.4322870 EM 3 -0.98161080D+03 43.3418991 0.0422867 EM 4 -0.97097898D+03 10.6318208 0.0108310 EM 5 -0.96772712D+03 3.2518590 0.0033491 EM 6 -0.96642920D+03 1.2979202 0.0013412 EM 7 -0.96581851D+03 0.6106819 0.0006319 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.18897512D+04 0.0000000 0.0000000 EM 2 -0.12351379D+04 654.6133029 0.3464018 EM 3 -0.11172058D+04 117.9321629 0.0954810 EM 4 -0.10069352D+04 110.2705471 0.0987021 EM 5 -0.98155888D+03 25.3763339 0.0252016 EM 6 -0.97304404D+03 8.5148430 0.0086748 EM 7 -0.96907828D+03 3.9657591 0.0040756 EM 8 -0.96715327D+03 1.9250017 0.0019864 EM 9 -0.96618991D+03 0.9633622 0.0009961 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.13427210D+04 0.0000000 0.0000000 EM 2 -0.98958236D+03 353.1386200 0.2630022 EM 3 -0.97308015D+03 16.5022106 0.0166759 EM 4 -0.96865755D+03 4.4225968 0.0045449 EM 5 -0.96689174D+03 1.7658115 0.0018229 EM 6 -0.96605103D+03 0.8407141 0.0008695 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.28159305D+04 0.0000000 0.0000000 EM 2 -0.12603418D+04 1555.5886958 0.5524244 EM 3 -0.12072986D+04 53.0432761 0.0420864 EM 4 -0.11468888D+04 60.4098112 0.0500372 EM 5 -0.10908355D+04 56.0532467 0.0488742 EM 6 -0.10616778D+04 29.1577338 0.0267297 EM 7 -0.10505687D+04 11.1090788 0.0104637 EM 8 -0.10391866D+04 11.3821361 0.0108343 EM 9 -0.10232461D+04 15.9404753 0.0153394 EM 10 -0.10044636D+04 18.7824995 0.0183558 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.16054417D+04 0.0000000 0.0000000 EM 2 -0.12634854D+04 341.9563118 0.2129983 EM 3 -0.12208126D+04 42.6728112 0.0337739 EM 4 -0.11078778D+04 112.9347926 0.0925079 EM 5 -0.10082026D+04 99.6752613 0.0899695 EM 6 -0.98366031D+03 24.5422571 0.0243426 EM 7 -0.97409946D+03 9.5608524 0.0097197 EM 8 -0.96956995D+03 4.5295144 0.0046500 EM 9 -0.96739359D+03 2.1763610 0.0022447 EM 10 -0.96631033D+03 1.0832593 0.0011198 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.13869042D+04 0.0000000 0.0000000 EM 2 -0.10835166D+04 303.3876494 0.2187517 EM 3 -0.98367326D+03 99.8432979 0.0921475 EM 4 -0.97028845D+03 13.3848041 0.0136070 EM 5 -0.96685733D+03 3.4311200 0.0035362 EM 6 -0.96584854D+03 1.0087921 0.0010434 EM 7 -0.96548979D+03 0.3587519 0.0003714 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.29268154D+04 0.0000000 0.0000000 EM 2 -0.10620013D+04 1864.8140480 0.6371478 EM 3 -0.10082281D+04 53.7732103 0.0506338 EM 4 -0.99157992D+03 16.6481976 0.0165123 EM 5 -0.97825706D+03 13.3228593 0.0134360 EM 6 -0.97139918D+03 6.8578806 0.0070103 EM 7 -0.96827623D+03 3.1229490 0.0032149 EM 8 -0.96675415D+03 1.5220842 0.0015720 EM 9 -0.96598941D+03 0.7647408 0.0007910 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.25092236D+04 0.0000000 0.0000000 EM 2 -0.10372505D+04 1471.9731893 0.5866249 EM 3 -0.99304514D+03 44.2053167 0.0426178 EM 4 -0.97684831D+03 16.1968297 0.0163103 EM 5 -0.97035820D+03 6.4901087 0.0066439 EM 6 -0.96770291D+03 2.6552841 0.0027364 EM 7 -0.96645399D+03 1.2489192 0.0012906 EM 8 -0.96583617D+03 0.6178279 0.0006393 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.29591680D+04 0.0000000 0.0000000 EM 2 -0.12835674D+04 1675.6005719 0.5662404 EM 3 -0.12593470D+04 24.2203553 0.0188696 EM 4 -0.12389982D+04 20.3488665 0.0161583 EM 5 -0.12063418D+04 32.6564078 0.0263571 EM 6 -0.11587874D+04 47.5543186 0.0394203 EM 7 -0.11054792D+04 53.3082606 0.0460035 EM 8 -0.10711046D+04 34.3745789 0.0310947 EM 9 -0.10595257D+04 11.5789253 0.0108103 EM 10 -0.10529623D+04 6.5634056 0.0061947 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20 E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.15746821D+04 0.0000000 0.0000000 EM 2 -0.12126864D+04 361.9957095 0.2298849 EM 3 -0.10471607D+04 165.5257274 0.1364951 EM 4 -0.96978319D+03 77.3774808 0.0738927 EM 5 -0.96600353D+03 3.7796633 0.0038974 EM 6 -0.96556698D+03 0.4365451 0.0004519 EM FINAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 5 -0.96528859D+03 0.2065026 0.0002139 EM 6 -0.96525915D+03 0.0294404 0.0000305 EM 7 -0.96525050D+03 0.0086493 0.0000090 EM 8 -0.96524696D+03 0.0035394 0.0000037 EM 9 -0.96524539D+03 0.0015734 0.0000016 EM 10 -0.96524467D+03 0.0007113 0.0000007 EM 11 -0.96524435D+03 0.0003224 0.0000003 EM 12 -0.96524421D+03 0.0001461 0.0000002 EM 13 -0.96524414D+03 0.0000662 0.0000001 EM 14 -0.96524411D+03 0.0000299 0.0000000 EM 15 -0.96524410D+03 0.0000135 0.0000000 EM 16 -0.96524409D+03 0.0000061 0.0000000 EM 17 -0.96524409D+03 0.0000028 0.0000000 EM 18 -0.96524409D+03 0.0000013 0.0000000 EM 19 -0.96524409D+03 0.0000006 0.0000000 EM 20 -0.96524408D+03 0.0000003 0.0000000 EM 21 -0.96524408D+03 0.0000001 0.0000000 EM 22 -0.96524408D+03 0.0000001 0.0000000 EM 23 -0.96524408D+03 0.0000000 0.0000000 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8 8 -0.96545790D+03 0.3348001 0.0003467 EM 9 -0.96533377D+03 0.1241303 0.0001286 EM 10 -0.96528297D+03 0.0507996 0.0000526 EM 11 -0.96526122D+03 0.0217444 0.0000225 EM 12 -0.96525171D+03 0.0095144 0.0000099 EM 13 -0.96524749D+03 0.0042133 0.0000044 EM 14 -0.96524561D+03 0.0018791 0.0000019 EM 15 -0.96524477D+03 0.0008418 0.0000009 EM 16 -0.96524439D+03 0.0003782 0.0000004 EM 17 -0.96524422D+03 0.0001703 0.0000002 EM 18 -0.96524415D+03 0.0000767 0.0000001 EM 19 -0.96524411D+03 0.0000346 0.0000000 EM 20 -0.96524410D+03 0.0000156 0.0000000 EM 21 -0.96524409D+03 0.0000071 0.0000000 EM 22 -0.96524409D+03 0.0000032 0.0000000 EM 23 -0.96524409D+03 0.0000014 0.0000000 EM 24 -0.96524409D+03 0.0000007 0.0000000 EM 25 -0.96524408D+03 0.0000003 0.0000000 EM 26 -0.96524408D+03 0.0000001 0.0000000 EM 27 -0.96524408D+03 0.0000001 0.0000000 EM 28 -0.96524408D+03 0.0000000 0.0000000 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16 7 -0.96548979D+03 0.3587519 0.0003714 EM 8 -0.96534827D+03 0.1415246 0.0001466 EM 9 -0.96528932D+03 0.0589420 0.0000611 EM 10 -0.96526401D+03 0.0253123 0.0000262 EM 11 -0.96525294D+03 0.0110712 0.0000115 EM 12 -0.96524804D+03 0.0048978 0.0000051 EM 13 -0.96524586D+03 0.0021825 0.0000023 EM 14 -0.96524488D+03 0.0009772 0.0000010 EM 15 -0.96524444D+03 0.0004388 0.0000005 EM 16 -0.96524425D+03 0.0001975 0.0000002 EM 17 -0.96524416D+03 0.0000890 0.0000001 EM 18 -0.96524412D+03 0.0000401 0.0000000 EM 19 -0.96524410D+03 0.0000181 0.0000000 EM 20 -0.96524409D+03 0.0000082 0.0000000 EM 21 -0.96524409D+03 0.0000037 0.0000000 EM 22 -0.96524409D+03 0.0000017 0.0000000 EM 23 -0.96524409D+03 0.0000008 0.0000000 EM 24 -0.96524408D+03 0.0000003 0.0000000 EM 25 -0.96524408D+03 0.0000002 0.0000000 EM 26 -0.96524408D+03 0.0000001 0.0000000 EM 27 -0.96524408D+03 0.0000000 0.0000000 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2 5 -0.96551949D+03 0.4163233 0.0004310 EM 6 -0.96535997D+03 0.1595151 0.0001652 EM 7 -0.96529424D+03 0.0657366 0.0000681 EM 8 -0.96526614D+03 0.0281004 0.0000291 EM 9 -0.96525388D+03 0.0122619 0.0000127 EM 10 -0.96524846D+03 0.0054174 0.0000056 EM 11 -0.96524605D+03 0.0024121 0.0000025 EM 12 -0.96524497D+03 0.0010794 0.0000011 EM 13 -0.96524448D+03 0.0004846 0.0000005 EM 14 -0.96524426D+03 0.0002180 0.0000002 EM 15 -0.96524417D+03 0.0000982 0.0000001 EM 16 -0.96524412D+03 0.0000443 0.0000000 EM 17 -0.96524410D+03 0.0000200 0.0000000 EM 18 -0.96524409D+03 0.0000090 0.0000000 EM 19 -0.96524409D+03 0.0000041 0.0000000 EM 20 -0.96524409D+03 0.0000018 0.0000000 EM 21 -0.96524409D+03 0.0000008 0.0000000 EM 22 -0.96524408D+03 0.0000004 0.0000000 EM 23 -0.96524408D+03 0.0000002 0.0000000 EM 24 -0.96524408D+03 0.0000001 0.0000000 EM 25 -0.96524408D+03 0.0000000 0.0000000 EM 26 -0.96524408D+03 0.0000000 0.0000000 EM Beginning Time: 23:13:22 Ending Time: 23:13:22 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: Support@StatModel.com Copyright (c) 1998-2022 Muthen & Muthen