Mplus VERSION 5.1 MUTHEN & MUTHEN 05/01/2008 5:10 PM INPUT INSTRUCTIONS TITLE: this is an example of a GMM for a count outcome using a negative binomial model DATA: FILE IS example6.dat; VARIABLE: NAMES ARE u1-u8 x; CLASSES = c(2); COUNT = u1-u8(NB); ANALYSIS: TYPE = MIXTURE; ALGORITHM = INTEGRATION; MODEL: %OVERALL% i s q | u1@0 u2@.1 u3@.2 u4@.3 u5@.4 u6@.5 u7@.6 u8@.7; [u1-u8@0]; s-q@0; i WITH s-q@0; q WITH s@0; c ON x; OUTPUT: TECH1 TECH8; INPUT READING TERMINATED NORMALLY this is an example of a GMM for a count outcome using a negative binomial model SUMMARY OF ANALYSIS Number of groups 1 Number of observations 500 Number of dependent variables 8 Number of independent variables 1 Number of continuous latent variables 3 Number of categorical latent variables 1 Observed dependent variables Count U1 U2 U3 U4 U5 U6 U7 U8 Observed independent variables X Continuous latent variables I S Q 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-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 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 Cholesky ON Input data file(s) example6.dat Input data format FREE 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: -3007.987 93468 3 -3007.989 195873 6 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Loglikelihood H0 Value -3007.987 H0 Scaling Correction Factor 1.015 for MLR Information Criteria Number of Free Parameters 17 Akaike (AIC) 6049.974 Bayesian (BIC) 6121.622 Sample-Size Adjusted BIC 6067.663 (n* = (n + 2) / 24) Chi-Square Test of Model Fit for the Count Outcomes** Pearson Chi-Square Value 1835.565 Degrees of Freedom 71999897 P-Value 1.0000 Likelihood Ratio Chi-Square Value 510.497 Degrees of Freedom 71999897 P-Value 1.0000 ** Of the 72000000 cells in the latent class indicator table, 86 were deleted in the calculation of chi-square due to extreme values. ** Large values were truncated at 9. FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES BASED ON THE ESTIMATED MODEL Latent Classes 1 287.66811 0.57534 2 212.33189 0.42466 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS BASED ON ESTIMATED POSTERIOR PROBABILITIES Latent Classes 1 287.66539 0.57533 2 212.33461 0.42467 CLASSIFICATION QUALITY Entropy 0.452 CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP Class Counts and Proportions Latent Classes 1 283 0.56600 2 217 0.43400 Average Latent Class Probabilities for Most Likely Latent Class Membership (Row) by Latent Class (Column) 1 2 1 0.856 0.144 2 0.210 0.790 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value Latent Class 1 I | U1 1.000 0.000 999.000 999.000 U2 1.000 0.000 999.000 999.000 U3 1.000 0.000 999.000 999.000 U4 1.000 0.000 999.000 999.000 U5 1.000 0.000 999.000 999.000 U6 1.000 0.000 999.000 999.000 U7 1.000 0.000 999.000 999.000 U8 1.000 0.000 999.000 999.000 S | U1 0.000 0.000 999.000 999.000 U2 0.100 0.000 999.000 999.000 U3 0.200 0.000 999.000 999.000 U4 0.300 0.000 999.000 999.000 U5 0.400 0.000 999.000 999.000 U6 0.500 0.000 999.000 999.000 U7 0.600 0.000 999.000 999.000 U8 0.700 0.000 999.000 999.000 Q | U1 0.000 0.000 999.000 999.000 U2 0.010 0.000 999.000 999.000 U3 0.040 0.000 999.000 999.000 U4 0.090 0.000 999.000 999.000 U5 0.160 0.000 999.000 999.000 U6 0.250 0.000 999.000 999.000 U7 0.360 0.000 999.000 999.000 U8 0.490 0.000 999.000 999.000 I WITH S 0.000 0.000 999.000 999.000 Q 0.000 0.000 999.000 999.000 Q WITH S 0.000 0.000 999.000 999.000 Means I -1.024 0.256 -3.998 0.000 S 1.049 0.678 1.547 0.122 Q -0.772 0.951 -0.811 0.417 Intercepts U1 0.000 0.000 999.000 999.000 U2 0.000 0.000 999.000 999.000 U3 0.000 0.000 999.000 999.000 U4 0.000 0.000 999.000 999.000 U5 0.000 0.000 999.000 999.000 U6 0.000 0.000 999.000 999.000 U7 0.000 0.000 999.000 999.000 U8 0.000 0.000 999.000 999.000 Variances I 0.622 0.194 3.212 0.001 S 0.000 0.000 999.000 999.000 Q 0.000 0.000 999.000 999.000 Dispersion U1 1.219 0.413 2.955 0.003 U2 2.508 0.542 4.627 0.000 U3 0.476 0.266 1.789 0.074 U4 1.004 0.308 3.264 0.001 U5 0.864 0.281 3.070 0.002 U6 0.907 0.261 3.477 0.001 U7 1.003 0.300 3.345 0.001 U8 0.738 0.234 3.149 0.002 Latent Class 2 I | U1 1.000 0.000 999.000 999.000 U2 1.000 0.000 999.000 999.000 U3 1.000 0.000 999.000 999.000 U4 1.000 0.000 999.000 999.000 U5 1.000 0.000 999.000 999.000 U6 1.000 0.000 999.000 999.000 U7 1.000 0.000 999.000 999.000 U8 1.000 0.000 999.000 999.000 S | U1 0.000 0.000 999.000 999.000 U2 0.100 0.000 999.000 999.000 U3 0.200 0.000 999.000 999.000 U4 0.300 0.000 999.000 999.000 U5 0.400 0.000 999.000 999.000 U6 0.500 0.000 999.000 999.000 U7 0.600 0.000 999.000 999.000 U8 0.700 0.000 999.000 999.000 Q | U1 0.000 0.000 999.000 999.000 U2 0.010 0.000 999.000 999.000 U3 0.040 0.000 999.000 999.000 U4 0.090 0.000 999.000 999.000 U5 0.160 0.000 999.000 999.000 U6 0.250 0.000 999.000 999.000 U7 0.360 0.000 999.000 999.000 U8 0.490 0.000 999.000 999.000 I WITH S 0.000 0.000 999.000 999.000 Q 0.000 0.000 999.000 999.000 Q WITH S 0.000 0.000 999.000 999.000 Means I -2.830 0.305 -9.270 0.000 S -0.166 2.025 -0.082 0.935 Q 1.652 3.142 0.526 0.599 Intercepts U1 0.000 0.000 999.000 999.000 U2 0.000 0.000 999.000 999.000 U3 0.000 0.000 999.000 999.000 U4 0.000 0.000 999.000 999.000 U5 0.000 0.000 999.000 999.000 U6 0.000 0.000 999.000 999.000 U7 0.000 0.000 999.000 999.000 U8 0.000 0.000 999.000 999.000 Variances I 0.622 0.194 3.212 0.001 S 0.000 0.000 999.000 999.000 Q 0.000 0.000 999.000 999.000 Dispersion U1 1.219 0.413 2.955 0.003 U2 2.508 0.542 4.627 0.000 U3 0.476 0.266 1.789 0.074 U4 1.004 0.308 3.264 0.001 U5 0.864 0.281 3.070 0.002 U6 0.907 0.261 3.477 0.001 U7 1.003 0.300 3.345 0.001 U8 0.738 0.234 3.149 0.002 Categorical Latent Variables C#1 ON X -1.293 0.382 -3.387 0.001 Intercepts C#1 0.379 0.573 0.662 0.508 LOGISTIC REGRESSION ODDS RATIO RESULTS Categorical Latent Variables C#1 ON X 0.274 ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION Parameterization using Reference Class 1 C#2 ON X 1.293 0.382 3.387 0.001 Intercepts C#2 -0.379 0.573 -0.662 0.508 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.165E-03 (ratio of smallest to largest eigenvalue) TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR LATENT CLASS 1 NU U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U8 X ________ ________ 1 0 0 LAMBDA I S Q X ________ ________ ________ ________ U1#1 0 0 0 0 U1 0 0 0 0 U2#1 0 0 0 0 U2 0 0 0 0 U3#1 0 0 0 0 U3 0 0 0 0 U4#1 0 0 0 0 U4 0 0 0 0 U5#1 0 0 0 0 U5 0 0 0 0 U6#1 0 0 0 0 U6 0 0 0 0 U7#1 0 0 0 0 U7 0 0 0 0 U8#1 0 0 0 0 U8 0 0 0 0 X 0 0 0 0 THETA U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ U1#1 0 U1 0 1 U2#1 0 0 0 U2 0 0 0 2 U3#1 0 0 0 0 0 U3 0 0 0 0 0 U4#1 0 0 0 0 0 U4 0 0 0 0 0 U5#1 0 0 0 0 0 U5 0 0 0 0 0 U6#1 0 0 0 0 0 U6 0 0 0 0 0 U7#1 0 0 0 0 0 U7 0 0 0 0 0 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ U3 3 U4#1 0 0 U4 0 0 4 U5#1 0 0 0 0 U5 0 0 0 0 5 U6#1 0 0 0 0 0 U6 0 0 0 0 0 U7#1 0 0 0 0 0 U7 0 0 0 0 0 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ U6#1 0 U6 0 6 U7#1 0 0 0 U7 0 0 0 7 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U8 X ________ ________ U8 8 X 0 0 ALPHA I S Q X ________ ________ ________ ________ 1 9 10 11 0 BETA I S Q X ________ ________ ________ ________ I 0 0 0 0 S 0 0 0 0 Q 0 0 0 0 X 0 0 0 0 PSI I S Q X ________ ________ ________ ________ I 12 S 0 0 Q 0 0 0 X 0 0 0 0 PARAMETER SPECIFICATION FOR LATENT CLASS 2 NU U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU U8 X ________ ________ 1 0 0 LAMBDA I S Q X ________ ________ ________ ________ U1#1 0 0 0 0 U1 0 0 0 0 U2#1 0 0 0 0 U2 0 0 0 0 U3#1 0 0 0 0 U3 0 0 0 0 U4#1 0 0 0 0 U4 0 0 0 0 U5#1 0 0 0 0 U5 0 0 0 0 U6#1 0 0 0 0 U6 0 0 0 0 U7#1 0 0 0 0 U7 0 0 0 0 U8#1 0 0 0 0 U8 0 0 0 0 X 0 0 0 0 THETA U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ U1#1 0 U1 0 1 U2#1 0 0 0 U2 0 0 0 2 U3#1 0 0 0 0 0 U3 0 0 0 0 0 U4#1 0 0 0 0 0 U4 0 0 0 0 0 U5#1 0 0 0 0 0 U5 0 0 0 0 0 U6#1 0 0 0 0 0 U6 0 0 0 0 0 U7#1 0 0 0 0 0 U7 0 0 0 0 0 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ U3 3 U4#1 0 0 U4 0 0 4 U5#1 0 0 0 0 U5 0 0 0 0 5 U6#1 0 0 0 0 0 U6 0 0 0 0 0 U7#1 0 0 0 0 0 U7 0 0 0 0 0 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ U6#1 0 U6 0 6 U7#1 0 0 0 U7 0 0 0 7 U8#1 0 0 0 0 0 U8 0 0 0 0 0 X 0 0 0 0 0 THETA U8 X ________ ________ U8 8 X 0 0 ALPHA I S Q X ________ ________ ________ ________ 1 13 14 15 0 BETA I S Q X ________ ________ ________ ________ I 0 0 0 0 S 0 0 0 0 Q 0 0 0 0 X 0 0 0 0 PSI I S Q X ________ ________ ________ ________ I 12 S 0 0 Q 0 0 0 X 0 0 0 0 PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART ALPHA(C) C#1 C#2 ________ ________ 1 16 0 GAMMA(C) I S Q X ________ ________ ________ ________ C#1 0 0 0 17 C#2 0 0 0 0 STARTING VALUES FOR LATENT CLASS 1 NU U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ 1 -20.000 0.000 -20.000 0.000 -20.000 NU U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ 1 0.000 -20.000 0.000 -20.000 0.000 NU U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ 1 -20.000 0.000 -20.000 0.000 -20.000 NU U8 X ________ ________ 1 0.000 0.000 LAMBDA I S Q X ________ ________ ________ ________ U1#1 0.000 0.000 0.000 0.000 U1 1.000 0.000 0.000 0.000 U2#1 0.000 0.000 0.000 0.000 U2 1.000 0.100 0.010 0.000 U3#1 0.000 0.000 0.000 0.000 U3 1.000 0.200 0.040 0.000 U4#1 0.000 0.000 0.000 0.000 U4 1.000 0.300 0.090 0.000 U5#1 0.000 0.000 0.000 0.000 U5 1.000 0.400 0.160 0.000 U6#1 0.000 0.000 0.000 0.000 U6 1.000 0.500 0.250 0.000 U7#1 0.000 0.000 0.000 0.000 U7 1.000 0.600 0.360 0.000 U8#1 0.000 0.000 0.000 0.000 U8 1.000 0.700 0.490 0.000 X 0.000 0.000 0.000 1.000 THETA U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ U1#1 0.000 U1 0.000 6.623 U2#1 0.000 0.000 0.000 U2 0.000 0.000 0.000 7.842 U3#1 0.000 0.000 0.000 0.000 0.000 U3 0.000 0.000 0.000 0.000 0.000 U4#1 0.000 0.000 0.000 0.000 0.000 U4 0.000 0.000 0.000 0.000 0.000 U5#1 0.000 0.000 0.000 0.000 0.000 U5 0.000 0.000 0.000 0.000 0.000 U6#1 0.000 0.000 0.000 0.000 0.000 U6 0.000 0.000 0.000 0.000 0.000 U7#1 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ U3 2.123 U4#1 0.000 0.000 U4 0.000 0.000 3.705 U5#1 0.000 0.000 0.000 0.000 U5 0.000 0.000 0.000 0.000 3.572 U6#1 0.000 0.000 0.000 0.000 0.000 U6 0.000 0.000 0.000 0.000 0.000 U7#1 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ U6#1 0.000 U6 0.000 3.353 U7#1 0.000 0.000 0.000 U7 0.000 0.000 0.000 3.223 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U8 X ________ ________ U8 2.888 X 0.000 0.000 ALPHA I S Q X ________ ________ ________ ________ 1 0.338 0.197 -0.011 0.000 BETA I S Q X ________ ________ ________ ________ I 0.000 0.000 0.000 0.000 S 0.000 0.000 0.000 0.000 Q 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 PSI I S Q X ________ ________ ________ ________ I 0.808 S 0.000 0.000 Q 0.000 0.000 0.000 X 0.000 0.000 0.000 0.517 STARTING VALUES FOR LATENT CLASS 2 NU U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ 1 -20.000 0.000 -20.000 0.000 -20.000 NU U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ 1 0.000 -20.000 0.000 -20.000 0.000 NU U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ 1 -20.000 0.000 -20.000 0.000 -20.000 NU U8 X ________ ________ 1 0.000 0.000 LAMBDA I S Q X ________ ________ ________ ________ U1#1 0.000 0.000 0.000 0.000 U1 1.000 0.000 0.000 0.000 U2#1 0.000 0.000 0.000 0.000 U2 1.000 0.100 0.010 0.000 U3#1 0.000 0.000 0.000 0.000 U3 1.000 0.200 0.040 0.000 U4#1 0.000 0.000 0.000 0.000 U4 1.000 0.300 0.090 0.000 U5#1 0.000 0.000 0.000 0.000 U5 1.000 0.400 0.160 0.000 U6#1 0.000 0.000 0.000 0.000 U6 1.000 0.500 0.250 0.000 U7#1 0.000 0.000 0.000 0.000 U7 1.000 0.600 0.360 0.000 U8#1 0.000 0.000 0.000 0.000 U8 1.000 0.700 0.490 0.000 X 0.000 0.000 0.000 1.000 THETA U1#1 U1 U2#1 U2 U3#1 ________ ________ ________ ________ ________ U1#1 0.000 U1 0.000 6.623 U2#1 0.000 0.000 0.000 U2 0.000 0.000 0.000 7.842 U3#1 0.000 0.000 0.000 0.000 0.000 U3 0.000 0.000 0.000 0.000 0.000 U4#1 0.000 0.000 0.000 0.000 0.000 U4 0.000 0.000 0.000 0.000 0.000 U5#1 0.000 0.000 0.000 0.000 0.000 U5 0.000 0.000 0.000 0.000 0.000 U6#1 0.000 0.000 0.000 0.000 0.000 U6 0.000 0.000 0.000 0.000 0.000 U7#1 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U3 U4#1 U4 U5#1 U5 ________ ________ ________ ________ ________ U3 2.123 U4#1 0.000 0.000 U4 0.000 0.000 3.705 U5#1 0.000 0.000 0.000 0.000 U5 0.000 0.000 0.000 0.000 3.572 U6#1 0.000 0.000 0.000 0.000 0.000 U6 0.000 0.000 0.000 0.000 0.000 U7#1 0.000 0.000 0.000 0.000 0.000 U7 0.000 0.000 0.000 0.000 0.000 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U6#1 U6 U7#1 U7 U8#1 ________ ________ ________ ________ ________ U6#1 0.000 U6 0.000 3.353 U7#1 0.000 0.000 0.000 U7 0.000 0.000 0.000 3.223 U8#1 0.000 0.000 0.000 0.000 0.000 U8 0.000 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 0.000 THETA U8 X ________ ________ U8 2.888 X 0.000 0.000 ALPHA I S Q X ________ ________ ________ ________ 1 0.338 0.197 -0.011 0.000 BETA I S Q X ________ ________ ________ ________ I 0.000 0.000 0.000 0.000 S 0.000 0.000 0.000 0.000 Q 0.000 0.000 0.000 0.000 X 0.000 0.000 0.000 0.000 PSI I S Q X ________ ________ ________ ________ I 0.808 S 0.000 0.000 Q 0.000 0.000 0.000 X 0.000 0.000 0.000 0.517 STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART ALPHA(C) C#1 C#2 ________ ________ 1 0.000 0.000 GAMMA(C) I S Q X ________ ________ ________ ________ C#1 0.000 0.000 0.000 0.000 C#2 0.000 0.000 0.000 0.000 TECHNICAL 8 OUTPUT INITIAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.35262043D+04 0.0000000 0.0000000 250.000 250.000 EM 2 -0.31540815D+04 372.1227984 0.1055307 325.115 174.885 FS 3 -0.30248987D+04 129.1827920 0.0409573 336.912 163.088 EM 4 -0.30219489D+04 2.9497839 0.0009752 321.202 178.798 FS 5 -0.30177332D+04 4.2156706 0.0013950 254.209 245.791 FS 6 -0.30103917D+04 7.3415418 0.0024328 230.014 269.986 FS 7 -0.30086970D+04 1.6946571 0.0005629 228.573 271.427 EM 8 -0.30083945D+04 0.3025024 0.0001005 228.149 271.851 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.35269364D+04 0.0000000 0.0000000 241.381 258.619 EM 2 -0.32299664D+04 296.9699935 0.0842006 495.217 4.783 FS 3 -0.30947407D+04 135.2257501 0.0418660 496.114 3.886 EM 4 -0.30706465D+04 24.0941999 0.0077855 496.667 3.333 EM 5 -0.30593556D+04 11.2908867 0.0036770 497.038 2.962 EM 6 -0.30514874D+04 7.8682092 0.0025719 497.277 2.723 EM 7 -0.30460434D+04 5.4440281 0.0017841 497.416 2.584 EM 8 -0.30423449D+04 3.6984464 0.0012142 497.466 2.534 EM 9 -0.30398648D+04 2.4800981 0.0008152 497.425 2.575 EM 10 -0.30381959D+04 1.6689056 0.0005490 497.267 2.733 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.38904977D+04 0.0000000 0.0000000 292.025 207.975 EM 2 -0.34404272D+04 450.0704448 0.1156845 268.861 231.139 FS 3 -0.31608810D+04 279.5461987 0.0812533 281.471 218.529 FS 4 -0.30652773D+04 95.6036981 0.0302459 294.848 205.152 FS 5 -0.30374517D+04 27.8256701 0.0090777 265.954 234.046 FS 6 -0.30204325D+04 17.0191469 0.0056031 240.788 259.212 FS 7 -0.30131293D+04 7.3031849 0.0024179 223.501 276.499 FS 8 -0.30103067D+04 2.8226455 0.0009368 216.712 283.288 FS 9 -0.30091693D+04 1.1374449 0.0003779 207.267 292.733 FS 10 -0.30081909D+04 0.9783912 0.0003251 207.328 292.672 FS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.34470603D+04 0.0000000 0.0000000 273.562 226.438 EM 2 -0.33137472D+04 133.3130402 0.0386744 328.186 171.814 FS 3 -0.31892013D+04 124.5459384 0.0375846 235.427 264.573 FS 4 -0.30860035D+04 103.1978012 0.0323585 277.743 222.257 FS 5 -0.30351320D+04 50.8714960 0.0164846 296.325 203.675 FS 6 -0.30139128D+04 21.2191345 0.0069912 315.507 184.493 FS 7 -0.30088655D+04 5.0473358 0.0016747 304.642 195.358 FS 8 -0.30080916D+04 0.7738881 0.0002572 294.868 205.132 FS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.36544437D+04 0.0000000 0.0000000 350.904 149.096 EM 2 -0.31575613D+04 496.8823955 0.1359666 375.618 124.382 EM 3 -0.31437616D+04 13.7996595 0.0043704 471.767 28.233 FS 4 -0.30590586D+04 84.7030522 0.0269432 471.166 28.834 EM 5 -0.30387732D+04 20.2854011 0.0066313 468.054 31.946 EM 6 -0.30313388D+04 7.4344021 0.0024465 463.573 36.427 EM 7 -0.30268062D+04 4.5326050 0.0014952 458.713 41.287 EM 8 -0.30238919D+04 2.9142218 0.0009628 453.969 46.031 EM 9 -0.30219335D+04 1.9584340 0.0006477 449.473 50.527 EM 10 -0.30205380D+04 1.3955273 0.0004618 445.204 54.796 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.34383243D+04 0.0000000 0.0000000 264.120 235.880 EM 2 -0.32710862D+04 167.2381510 0.0486394 266.371 233.629 FS 3 -0.30980436D+04 173.0425524 0.0529006 263.187 236.813 EM 4 -0.30625589D+04 35.4846740 0.0114539 258.959 241.041 EM 5 -0.30471868D+04 15.3721305 0.0050194 254.721 245.279 EM 6 -0.30358210D+04 11.3658329 0.0037299 250.830 249.170 EM 7 -0.30276257D+04 8.1953242 0.0026995 247.534 252.466 EM 8 -0.30219555D+04 5.6701781 0.0018728 244.959 255.041 EM 9 -0.30182008D+04 3.7546654 0.0012425 243.127 256.873 EM 10 -0.30158078D+04 2.3930400 0.0007929 241.985 258.015 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.32158538D+04 0.0000000 0.0000000 144.940 355.060 EM 2 -0.30823971D+04 133.4567315 0.0414996 146.496 353.504 EM 3 -0.30238027D+04 58.5944048 0.0190094 173.083 326.917 FS 4 -0.30116888D+04 12.1138177 0.0040062 254.292 245.708 FS 5 -0.30082276D+04 3.4612635 0.0011493 279.405 220.595 FS 6 -0.30080273D+04 0.2002316 0.0000666 286.138 213.862 FS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.33980510D+04 0.0000000 0.0000000 398.111 101.889 EM 2 -0.31190720D+04 278.9790087 0.0820997 434.645 65.355 EM 3 -0.30759727D+04 43.0992777 0.0138180 449.057 50.943 EM 4 -0.30600061D+04 15.9665914 0.0051907 457.427 42.573 EM 5 -0.30503798D+04 9.6263425 0.0031459 462.309 37.691 EM 6 -0.30442131D+04 6.1666733 0.0020216 464.942 35.058 EM 7 -0.30400442D+04 4.1689540 0.0013695 465.986 34.014 EM 8 -0.30370191D+04 3.0250740 0.0009951 465.797 34.203 EM 9 -0.30346061D+04 2.4130459 0.0007945 464.559 35.441 EM 10 -0.30324627D+04 2.1433821 0.0007063 462.368 37.632 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.36470909D+04 0.0000000 0.0000000 104.172 395.828 EM 2 -0.34638539D+04 183.2370699 0.0502420 7.287 492.713 FS 3 -0.32056821D+04 258.1717173 0.0745331 7.972 492.028 EM 4 -0.31528696D+04 52.8125416 0.0164747 7.763 492.237 EM 5 -0.31257697D+04 27.0999208 0.0085953 7.593 492.407 EM 6 -0.31023723D+04 23.3973783 0.0074853 7.376 492.624 EM 7 -0.30827141D+04 19.6581824 0.0063365 7.188 492.812 EM 8 -0.30669995D+04 15.7146117 0.0050977 7.072 492.928 EM 9 -0.30549709D+04 12.0286130 0.0039219 7.035 492.965 EM 10 -0.30461123D+04 8.8586157 0.0028997 7.076 492.924 EM TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.38771687D+04 0.0000000 0.0000000 56.844 443.156 EM 2 -0.33626819D+04 514.4868454 0.1326965 50.499 449.501 FS 3 -0.31315465D+04 231.1353752 0.0687354 450.837 49.163 FS 4 -0.31002264D+04 31.3201269 0.0100015 453.626 46.374 FS 5 -0.30675564D+04 32.6700289 0.0105379 454.076 45.924 FS 6 -0.30518076D+04 15.7487847 0.0051340 454.000 46.000 FS 7 -0.30431351D+04 8.6724587 0.0028417 454.000 46.000 FS 8 -0.30382470D+04 4.8881049 0.0016063 454.000 46.000 FS 9 -0.30350109D+04 3.2361011 0.0010651 454.000 46.000 FS 10 -0.30328746D+04 2.1363499 0.0007039 454.000 46.000 FS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.40344123D+04 0.0000000 0.0000000 459.275 40.725 EM 2 -0.35254836D+04 508.9286559 0.1261469 454.332 45.668 FS 3 -0.31380145D+04 387.4691395 0.1099052 414.469 85.531 FS 4 -0.30325060D+04 105.5084657 0.0336227 418.981 81.019 EM 5 -0.30260630D+04 6.4430833 0.0021247 418.413 81.587 EM 6 -0.30245739D+04 1.4890492 0.0004921 416.237 83.763 EM 7 -0.30236622D+04 0.9117187 0.0003014 413.482 86.518 EM FINAL STAGE ITERATIONS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.32158538D+04 0.0000000 0.0000000 144.940 355.060 EM 2 -0.30823971D+04 133.4567315 0.0414996 146.496 353.504 EM 3 -0.30238027D+04 58.5944048 0.0190094 173.083 326.917 FS 4 -0.30116888D+04 12.1138177 0.0040062 254.292 245.708 FS 5 -0.30082276D+04 3.4612635 0.0011493 279.405 220.595 FS 6 -0.30080273D+04 0.2002316 0.0000666 286.138 213.862 FS 7 -0.30080035D+04 0.0238708 0.0000079 285.227 214.773 FS 8 -0.30079946D+04 0.0088979 0.0000030 287.500 212.500 FS 9 -0.30079923D+04 0.0022990 0.0000008 286.700 213.300 FS 10 -0.30079898D+04 0.0024332 0.0000008 287.663 212.337 FS 11 -0.30079891D+04 0.0007402 0.0000002 287.156 212.844 FS TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3 ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM 1 -0.34470603D+04 0.0000000 0.0000000 273.562 226.438 EM 2 -0.33137472D+04 133.3130402 0.0386744 328.186 171.814 FS 3 -0.31892013D+04 124.5459384 0.0375846 235.427 264.573 FS 4 -0.30860035D+04 103.1978012 0.0323585 277.743 222.257 FS 5 -0.30351320D+04 50.8714960 0.0164846 296.325 203.675 FS 6 -0.30139128D+04 21.2191345 0.0069912 315.507 184.493 FS 7 -0.30088655D+04 5.0473358 0.0016747 304.642 195.358 FS 8 -0.30080916D+04 0.7738881 0.0002572 294.868 205.132 FS 9 -0.30079997D+04 0.0918869 0.0000305 291.057 208.943 FS 10 -0.30079887D+04 0.0109984 0.0000037 288.780 211.220 FS 11 -0.30079872D+04 0.0015591 0.0000005 288.132 211.868 FS 12 -0.30079869D+04 0.0002766 0.0000001 287.665 212.335 FS Beginning Time: 17:10:05 Ending Time: 17:10:37 Elapsed Time: 00:00:32 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) 1998-2008 Muthen & Muthen