Mplus VERSION 4.1 MUTHEN & MUTHEN 08/08/2006 12:47 PM INPUT INSTRUCTIONS title: Introducing Multilevel Modeling by Kreft and de Leeuw. Page 82, Table 4.12 data: file = imm23.dat ; variable: names = schid stuid ses meanses homework white parented public ratio percmin math sex race sctype cstr scsize urban region; cluster = schid; usevar = math homework white public ; within = homework white; ! level 1 variables here between = public; ! level 2 variables here analysis: type = twolevel random; estimator = ml; model: %within% math on white; ! fixed effect of white b1 | math on homework; ! random effect of homework %between% math on public; ! public predicts intercept b1; ! nothing predicts homework slope math with b1; ! covariance intercept and slope INPUT READING TERMINATED NORMALLY Introducing Multilevel Modeling by Kreft and de Leeuw. Page 82, Table 4.12 SUMMARY OF ANALYSIS Number of groups 1 Number of observations 519 Number of dependent variables 1 Number of independent variables 3 Number of continuous latent variables 1 Observed dependent variables Continuous MATH Observed independent variables HOMEWORK WHITE PUBLIC Continuous latent variables B1 Variables with special functions Cluster variable SCHID Within variables HOMEWORK WHITE Between variables PUBLIC Estimator ML Information matrix OBSERVED Maximum number of iterations 1000 Convergence criterion 0.100D-05 Maximum number of EM iterations 500 Convergence criteria for the EM algorithm Loglikelihood change 0.100D-02 Relative loglikelihood change 0.100D-05 Derivative 0.100D-02 Minimum variance 0.100D-03 Maximum number of steepest descent iterations 20 Maximum number of iterations for H1 2000 Convergence criterion for H1 0.100D-03 Optimization algorithm EMA Input data file(s) imm23.dat Input data format FREE SUMMARY OF DATA Number of clusters 23 Size (s) Cluster ID with Size s 5 6467 8 6327 14 72991 16 26537 17 7474 19 54344 20 7829 47583 24371 72292 25642 21 68448 68493 22 25456 7801 24725 23 7472 46417 24 7194 7930 27 72080 44 6053 67 62821 Average cluster size 22.565 Estimated Intraclass Correlations for the Y Variables Intraclass Intraclass Variable Correlation Variable Correlation MATH 0.147 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Loglikelihood H0 Value -1811.629 Information Criteria Number of Free Parameters 8 Akaike (AIC) 3639.258 Bayesian (BIC) 3673.273 Sample-Size Adjusted BIC 3647.880 (n* = (n + 2) / 24) MODEL RESULTS Estimates S.E. Est./S.E. Within Level MATH ON WHITE 3.283 0.976 3.364 Residual Variances MATH 52.627 3.427 15.355 Between Level MATH ON PUBLIC -3.914 1.727 -2.267 MATH WITH B1 -25.360 9.286 -2.731 Means B1 1.908 0.884 2.158 Intercepts MATH 46.679 2.126 21.954 Variances B1 15.851 5.520 2.871 Residual Variances MATH 52.354 18.079 2.896 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.155E-03 (ratio of smallest to largest eigenvalue) Beginning Time: 12:47:07 Ending Time: 12:47:08 Elapsed Time: 00:00:01 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) 1998-2006 Muthen & Muthen