Mplus DEVELOPMENT MUTHEN & MUTHEN 02/21/2006 2:07 PM INPUT INSTRUCTIONS Title: lsay_3c.inp LSAY math outcomes Growth mixture model with 3-classes *class specific intercept and slope variance DATA: file is lsay.dat; VARIABLE: Names are lsayid schcode classize urban tracking ntracks mthlvl female mthflg7-mthflg12 mothed fathed mothsei fathsei homeres race expect parapsh parcpsh parmpsh peerapsh peermpsh bas7 basse7 alg7 algse7 geo7 geose7 qlt7 qltse7 mth7 mthse7 mtha7 mthase7 bas8 basse8 alg8 algse8 geo8 geose8 qlt8 qltse8 mth8 mthse8 mtha8 mthase8 bas9 basse9 alg9 algse9 geo9 geose9 qlt9 qltse9 mth9 mthse9 mtha9 mthase9 bas10 basse10 alg10 algse10 geo10 geose10 qlt10 qltse10 mth10 mthse10 mtha10 mthase10 bas11 basse11 alg11 algse11 geo11 geose11 qlt11 qltse11 mth11 mthse11 mtha11 mthase11 bas12 basse12 alg12 algse12 geo12 geose12 qlt12 qltse12 mth12 mthse12 mtha12 mthase12 mthcrs7-mthcrs12 mtrk10-mtrk12 totstud lchfull lchpart parvis mcirr mclub strat mstrat comp mcomp african hispan asian expel arrest dropot self worth other satisf respect failure esteem problem cloctn dloctn eloctn floctn gloctn hloctn iloctn jloctn kloctn lloctn drink runawa suicid alc7 alc10 alc11 alc12 arest7 runa8 runa9 runa10 runa11 run12 suic8 suic9 suic10 suic11 suic12 drop7 drop8 drop9 drop10 drop11 drop12 fdrop8 fdrop9 fdrop10 fdrop11 fdrop12 enj7 good7 und7 useboy7 nerv7 wor7 scar7 use7 logic7 boybet7 job7 often7 enj8 good8 und8 useboy8 nerv8 wor8 scar8 use8 logic8 boybet8 job8 often8 enj9 good9 und9 useboy9 nerv9 wor9 scar9 use9 logic9 boybet9 job9 often9 enj10 good10 und10 useboy10 nerv10 wor10 scar10 use10 logic10 boybet10 job10 often10; Missing are all(9999); Usevar=mth7 mth8 mth9 mth10; classes=c(3); Analysis: Type = mixture missing; starts=70 7; Model: %overall% i s | mth7@0 mth8@1 mth9@2 mth10@3; %c#1% i; i with s; s; %c#2% i; i with s; s; Output: tech11; Plot: type=plot3; series= mth7-mth10(*); *** WARNING Data set contains cases with missing on all variables. These cases were not included in the analysis. Number of cases with missing on all variables: 14 1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS lsay_3c.inp LSAY math outcomes Growth mixture model with 3-classes *class specific intercept and slope variance SUMMARY OF ANALYSIS Number of groups 1 Number of observations 3102 Number of dependent variables 4 Number of independent variables 0 Number of continuous latent variables 2 Number of categorical latent variables 1 Observed dependent variables Continuous MTH7 MTH8 MTH9 MTH10 Continuous latent variables I S Categorical latent variables C Estimator MLR Information matrix OBSERVED Optimization Specifications for the Quasi-Newton Algorithm for Continuous Outcomes Maximum number of iterations 1000 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 Maximum number of iterations for H1 2000 Convergence criterion for H1 0.100D-03 Optimization algorithm EMA Random Starts Specifications Number of initial stage starts 70 Number of final stage starts 7 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 Input data file(s) lsay.dat Input data format FREE SUMMARY OF DATA Number of patterns 15 Number of y patterns 15 Number of u patterns 0 COVARIANCE COVERAGE OF DATA Minimum covariance coverage value 0.100 PROPORTION OF DATA PRESENT FOR Y Covariance Coverage MTH7 MTH8 MTH9 MTH10 ________ ________ ________ ________ MTH7 0.988 MTH8 0.822 0.832 MTH9 0.714 0.657 0.722 MTH10 0.651 0.592 0.587 0.658 RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES Initial stage loglikelihood values, seeds, and initial stage start numbers: -33428.030 318230 46 -33435.002 392418 28 -33435.495 573096 20 -33441.853 987090 70 -33443.995 253358 2 -33448.947 467339 66 -33451.570 370466 41 -33452.048 93468 3 -33452.458 685657 69 -33452.622 569131 26 -33456.319 443917 60 -33456.419 127215 9 -33456.730 432148 30 -33457.131 85462 51 -33457.461 754100 56 -33459.611 207896 25 -33463.152 533739 11 -33465.221 136842 58 -33466.816 887676 22 -33466.821 851945 18 -33471.778 27071 15 -33471.929 966014 37 -33472.281 352277 42 -33472.460 415931 10 -33472.685 915642 40 -33473.303 462953 7 -33474.261 285380 1 -33475.841 902278 21 -33480.558 848163 47 -33481.439 626891 32 -33482.614 364676 27 -33483.234 347515 24 -33483.828 967902 52 -33491.423 195873 6 -33493.703 422103 62 -33493.966 227563 63 -33494.909 405079 68 -33495.124 608496 4 -33497.294 637345 19 -33499.077 120506 45 -33499.298 915107 54 -33500.553 260601 36 -33501.554 650371 14 -33501.725 903420 5 -33502.389 830392 35 -33505.138 407168 44 -33506.314 963053 43 -33507.807 76974 16 -33509.558 107446 12 -33509.684 761633 50 -33512.359 366706 29 -33514.860 399671 13 -33517.823 372176 23 -33517.995 645664 39 -33522.010 481835 57 -33525.266 789985 67 -33527.149 939021 8 -33531.550 311214 64 -33532.037 246261 38 -33535.181 804561 59 -33537.984 341041 34 -33545.530 551639 55 -33557.505 153942 31 -33570.235 565819 65 -33577.667 749453 33 -33577.787 603842 61 -33580.350 259507 53 -33580.494 967237 48 -33638.003 68985 17 -33640.628 568859 49 -33641.558 unperturbed 0 Loglikelihood values at local maxima, seeds, and initial stage start numbers: -33413.028 370466 41 -33413.028 573096 20 -33413.028 392418 28 -33413.028 987090 70 -33413.028 253358 2 -33413.028 318230 46 -33413.028 467339 66 THE MODEL ESTIMATION TERMINATED NORMALLY WARNING: THE LATENT VARIABLE COVARIANCE MATRIX (PSI) IN CLASS 2 IS NOT POSITIVE DEFINITE. THIS COULD INDICATE A NEGATIVE VARIANCE/ RESIDUAL VARIANCE FOR A LATENT VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE BETWEEN TWO LATENT VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO LATENT VARIABLES. CHECK THE TECH4 OUTPUT FOR MORE INFORMATION. PROBLEM INVOLVING VARIABLE S. TESTS OF MODEL FIT Loglikelihood H0 Value -33413.028 H0 Scaling Correction Factor 1.024 for MLR Information Criteria Number of Free Parameters 21 Akaike (AIC) 66868.055 Bayesian (BIC) 66994.891 Sample-Size Adjusted BIC 66928.166 (n* = (n + 2) / 24) Entropy 0.484 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES BASED ON THE ESTIMATED MODEL Latent Classes 1 517.72302 0.16690 2 1595.31204 0.51428 3 988.96494 0.31882 FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS BASED ON ESTIMATED POSTERIOR PROBABILITIES Latent Classes 1 517.72306 0.16690 2 1595.31223 0.51429 3 988.96471 0.31882 CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP Class Counts and Proportions Latent Classes 1 593 0.19117 2 1650 0.53191 3 859 0.27692 Average Latent Class Probabilities for Most Likely Latent Class Membership (Row) by Latent Class (Column) 1 2 3 1 0.703 0.074 0.223 2 0.002 0.802 0.196 3 0.113 0.266 0.621 MODEL RESULTS Estimates S.E. Est./S.E. Latent Class 1 I | MTH7 1.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 1.000 0.000 0.000 MTH10 1.000 0.000 0.000 S | MTH7 0.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 2.000 0.000 0.000 MTH10 3.000 0.000 0.000 S WITH I 1.539 1.019 1.510 Means I 39.056 0.551 70.871 S 1.158 0.269 4.308 Intercepts MTH7 0.000 0.000 0.000 MTH8 0.000 0.000 0.000 MTH9 0.000 0.000 0.000 MTH10 0.000 0.000 0.000 Variances I 6.396 2.289 2.794 S 1.554 0.603 2.580 Residual Variances MTH7 15.824 1.057 14.972 MTH8 18.943 0.889 21.311 MTH9 16.574 0.857 19.330 MTH10 15.659 1.335 11.727 Latent Class 2 I | MTH7 1.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 1.000 0.000 0.000 MTH10 1.000 0.000 0.000 S | MTH7 0.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 2.000 0.000 0.000 MTH10 3.000 0.000 0.000 S WITH I 4.413 0.732 6.029 Means I 56.039 0.616 90.977 S 4.511 0.081 55.890 Intercepts MTH7 0.000 0.000 0.000 MTH8 0.000 0.000 0.000 MTH9 0.000 0.000 0.000 MTH10 0.000 0.000 0.000 Variances I 61.667 5.093 12.107 S -0.062 0.323 -0.191 Residual Variances MTH7 15.824 1.057 14.972 MTH8 18.943 0.889 21.311 MTH9 16.574 0.857 19.330 MTH10 15.659 1.335 11.727 Latent Class 3 I | MTH7 1.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 1.000 0.000 0.000 MTH10 1.000 0.000 0.000 S | MTH7 0.000 0.000 0.000 MTH8 1.000 0.000 0.000 MTH9 2.000 0.000 0.000 MTH10 3.000 0.000 0.000 S WITH I -3.868 1.801 -2.148 Means I 46.631 0.697 66.868 S 4.510 0.250 18.025 Intercepts MTH7 0.000 0.000 0.000 MTH8 0.000 0.000 0.000 MTH9 0.000 0.000 0.000 MTH10 0.000 0.000 0.000 Variances I 37.944 4.973 7.629 S 11.431 1.311 8.723 Residual Variances MTH7 15.824 1.057 14.972 MTH8 18.943 0.889 21.311 MTH9 16.574 0.857 19.330 MTH10 15.659 1.335 11.727 Categorical Latent Variables Means C#1 -0.647 0.226 -2.870 C#2 0.478 0.191 2.499 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.439E-04 (ratio of smallest to largest eigenvalue) TECHNICAL 11 OUTPUT VUONG-LO-MENDELL-RUBIN LIKELIHOOD RATIO TEST FOR 2 (H0) VERSUS 3 CLASSES H0 Loglikelihood Value -33466.488 2 Times the Loglikelihood Difference 106.921 Difference in the Number of Parameters 6 Mean 2.814 Standard Deviation 6.969 P-Value 0.0000 LO-MENDELL-RUBIN ADJUSTED LRT TEST Value 104.749 P-Value 0.0000 PLOT INFORMATION The following plots are available: Histograms (sample values, estimated factor scores, estimated values) Scatterplots (sample values, estimated factor scores, estimated values) Sample means Estimated means Sample and estimated means Observed individual values Estimated individual values Estimated means and observed individual values Estimated means and estimated individual values Mixture distributions Beginning Time: 14:07:41 Ending Time: 14:08:52 Elapsed Time: 00:01:11 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) 1998-2005 Muthen & Muthen