Mplus VERSION 4.1 MUTHEN & MUTHEN 08/08/2006 12:47 PM INPUT INSTRUCTIONS title: Introducing Multilevel Modeling by Kreft and de Leeuw. Page 64, Table 4.2 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; within = ; ! level 1 variables here (none) between = ; ! level 2 variables here (none) analysis: type = twolevel random; estimator = ml; model: %within% math; ! no fixed effects %between% math; ! no predictors of intercept *** WARNING in Model command Variable is uncorrelated with all other variables: MATH *** WARNING in Model command All least one variable is uncorrelated with all other variables in the model. Check that this is what is intended. 2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS Introducing Multilevel Modeling by Kreft and de Leeuw. Page 64, Table 4.2 SUMMARY OF ANALYSIS Number of groups 1 Number of observations 519 Number of dependent variables 1 Number of independent variables 0 Number of continuous latent variables 0 Observed dependent variables Continuous MATH Variables with special functions Cluster variable SCHID 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 Variable Correlation MATH 0.234 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 0.000 Degrees of Freedom 0 P-Value 1.0000 Chi-Square Test of Model Fit for the Baseline Model Value 0.000 Degrees of Freedom 0 P-Value 1.0000 CFI/TLI CFI 1.000 TLI 1.000 Loglikelihood H0 Value -1900.388 H1 Value -1900.388 Information Criteria Number of Free Parameters 3 Akaike (AIC) 3806.776 Bayesian (BIC) 3819.532 Sample-Size Adjusted BIC 3810.010 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 SRMR (Standardized Root Mean Square Residual) Value for Between 0.000 Value for Within 0.000 MODEL RESULTS Estimates S.E. Est./S.E. Within Level Variances MATH 81.237 5.153 15.765 Between Level Means MATH 50.756 1.127 45.043 Variances MATH 24.855 8.411 2.955 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.156E-02 (ratio of smallest to largest eigenvalue) Beginning Time: 12:47:05 Ending Time: 12:47:05 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) 1998-2006 Muthen & Muthen