Mplus DEVELOPMENT (Dev 02/20/2006) MUTHEN & MUTHEN 03/05/2006 4:15 PM INPUT INSTRUCTIONS TITLE: this is an example of a two-level ancova for a continuous dependent variable with random assignment on the within level data: file = ancovaW.dat; variable: names are y x w clus; cluster = clus; within = w; centering = groupmean(w); analysis: type = twolevel; model: %within% y on w x; %between% y on x; output: tech1 tech8; INPUT READING TERMINATED NORMALLY this is an example of a two-level ancova for a continuous dependent variable with random assignment on the within level SUMMARY OF ANALYSIS Number of groups 1 Number of observations 700 Number of dependent variables 1 Number of independent variables 2 Number of continuous latent variables 0 Observed dependent variables Continuous Y Observed independent variables X W Variables with special functions Cluster variable CLUS Within variables W Centering (GROUPMEAN) W Estimator MLR Information matrix EXPECTED 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) ancovaW.dat Input data format FREE SUMMARY OF DATA Number of clusters 90 Size (s) Cluster ID with Size s 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 10 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Average cluster size 7.778 Estimated Intraclass Correlations for the Y Variables Intraclass Variable Correlation Y 0.198 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 0.008* Degrees of Freedom 0 P-Value 0.0000 Scaling Correction Factor 1.000 for MLR * The chi-square value for MLM, MLMV, MLR, ULS, WLSM and WLSMV cannot be used for chi-square difference tests. MLM, MLR and WLSM chi-square difference testing is described in the Mplus Technical Appendices at www.statmodel.com. See chi-square difference testing in the index of the Mplus User's Guide. Chi-Square Test of Model Fit for the Baseline Model Value 430.860 Degrees of Freedom 3 P-Value 0.0000 CFI/TLI CFI 1.000 TLI 1.000 Loglikelihood H0 Value -2042.622 H0 Scaling Correction Factor 0.937 for MLR H1 Value -2042.618 H1 Scaling Correction Factor 0.937 for MLR Information Criteria Number of Free Parameters 6 Akaike (AIC) 4097.244 Bayesian (BIC) 4124.551 Sample-Size Adjusted BIC 4105.500 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 SRMR (Standardized Root Mean Square Residual) Value for Between 0.004 Value for Within 0.000 MODEL RESULTS Estimates S.E. Est./S.E. Within Level Y ON W 0.163 0.089 1.838 X 0.994 0.035 28.086 Residual Variances Y 0.960 0.054 17.761 Between Level Y ON X 0.143 0.411 0.349 Intercepts Y 2.164 0.084 25.730 Residual Variances Y 0.471 0.109 4.334 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.306E-02 (ratio of smallest to largest eigenvalue) TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR WITHIN NU Y X W ________ ________ ________ 1 0 0 0 LAMBDA Y X W ________ ________ ________ Y 0 0 0 X 0 0 0 W 0 0 0 THETA Y X W ________ ________ ________ Y 0 X 0 0 W 0 0 0 ALPHA Y X W ________ ________ ________ 1 0 0 0 BETA Y X W ________ ________ ________ Y 0 1 2 X 0 0 0 W 0 0 0 PSI Y X W ________ ________ ________ Y 3 X 0 0 W 0 0 0 PARAMETER SPECIFICATION FOR BETWEEN NU Y X W ________ ________ ________ 1 0 0 0 LAMBDA Y X W ________ ________ ________ Y 0 0 0 X 0 0 0 W 0 0 0 THETA Y X W ________ ________ ________ Y 0 X 0 0 W 0 0 0 ALPHA Y X W ________ ________ ________ 1 4 0 0 BETA Y X W ________ ________ ________ Y 0 5 0 X 0 0 0 W 0 0 0 PSI Y X W ________ ________ ________ Y 6 X 0 0 W 0 0 0 STARTING VALUES FOR WITHIN NU Y X W ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA Y X W ________ ________ ________ Y 1.000 0.000 0.000 X 0.000 1.000 0.000 W 0.000 0.000 1.000 THETA Y X W ________ ________ ________ Y 0.000 X 0.000 0.000 W 0.000 0.000 0.000 ALPHA Y X W ________ ________ ________ 1 0.000 0.000 0.000 BETA Y X W ________ ________ ________ Y 0.000 0.000 0.000 X 0.000 0.000 0.000 W 0.000 0.000 0.000 PSI Y X W ________ ________ ________ Y 1.188 X 0.000 0.505 W 0.000 0.000 0.125 STARTING VALUES FOR BETWEEN NU Y X W ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA Y X W ________ ________ ________ Y 1.000 0.000 0.000 X 0.000 1.000 0.000 W 0.000 0.000 1.000 THETA Y X W ________ ________ ________ Y 0.000 X 0.000 0.000 W 0.000 0.000 0.000 ALPHA Y X W ________ ________ ________ 1 0.000 0.000 0.000 BETA Y X W ________ ________ ________ Y 0.000 0.000 0.000 X 0.000 0.000 0.000 W 0.000 0.000 0.000 PSI Y X W ________ ________ ________ Y 1.188 X 0.000 0.505 W 0.000 0.000 0.000 TECHNICAL 8 OUTPUT E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.25044441D+04 0.0000000 0.0000000 EM 2 -0.20665840D+04 437.8601703 0.1748333 EM 3 -0.20472770D+04 19.3069186 0.0093424 EM 4 -0.20449903D+04 2.2867062 0.0011170 EM 5 -0.20440860D+04 0.9043046 0.0004422 EM 6 -0.20435960D+04 0.4900733 0.0002398 EM 7 -0.20433000D+04 0.2959488 0.0001448 EM 8 -0.20431092D+04 0.1907735 0.0000934 EM 9 -0.20429805D+04 0.1287680 0.0000630 EM 10 -0.20428905D+04 0.0899647 0.0000440 EM 11 -0.20428259D+04 0.0645654 0.0000316 EM 12 -0.20427786D+04 0.0473396 0.0000232 EM 13 -0.20427433D+04 0.0353215 0.0000173 EM 14 -0.20427165D+04 0.0267377 0.0000131 EM 15 -0.20426960D+04 0.0204875 0.0000100 EM 16 -0.20426802D+04 0.0158598 0.0000078 EM 17 -0.20426678D+04 0.0123866 0.0000061 EM 18 -0.20426581D+04 0.0097473 0.0000048 EM 19 -0.20426503D+04 0.0077215 0.0000038 EM 20 -0.20426442D+04 0.0061518 0.0000030 EM 21 -0.20426393D+04 0.0049263 0.0000024 EM 22 -0.20426353D+04 0.0039623 0.0000019 EM 23 -0.20426321D+04 0.0031998 0.0000016 EM 24 -0.20426295D+04 0.0025929 0.0000013 EM 25 -0.20426274D+04 0.0021079 0.0000010 EM 26 -0.20426257D+04 0.0017183 0.0000008 EM 27 -0.20426243D+04 0.0014042 0.0000007 EM 28 -0.20426231D+04 0.0011501 0.0000006 EM 29 -0.20426222D+04 0.0009438 0.0000005 EM TECHNICAL 8 OUTPUT FOR THE H1 MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.20549004D+04 0.0000000 0.0000000 EM 2 -0.20461945D+04 8.7059565 0.0042367 EM 3 -0.20446537D+04 1.5408289 0.0007530 EM 4 -0.20439192D+04 0.7344517 0.0003592 EM 5 -0.20435012D+04 0.4180602 0.0002045 EM 6 -0.20432415D+04 0.2596089 0.0001270 EM 7 -0.20430710D+04 0.1705313 0.0000835 EM 8 -0.20429544D+04 0.1166414 0.0000571 EM 9 -0.20428721D+04 0.0822848 0.0000403 EM 10 -0.20428126D+04 0.0594840 0.0000291 EM 11 -0.20427687D+04 0.0438605 0.0000215 EM 12 -0.20427359D+04 0.0328718 0.0000161 EM 13 -0.20427109D+04 0.0249737 0.0000122 EM 14 -0.20426917D+04 0.0191926 0.0000094 EM 15 -0.20426768D+04 0.0148950 0.0000073 EM 16 -0.20426651D+04 0.0116575 0.0000057 EM 17 -0.20426560D+04 0.0091905 0.0000045 EM 18 -0.20426487D+04 0.0072917 0.0000036 EM 19 -0.20426428D+04 0.0058175 0.0000028 EM 20 -0.20426382D+04 0.0046641 0.0000023 EM 21 -0.20426344D+04 0.0037555 0.0000018 EM 22 -0.20426314D+04 0.0030355 0.0000015 EM 23 -0.20426289D+04 0.0024619 0.0000012 EM 24 -0.20426269D+04 0.0020028 0.0000010 EM 25 -0.20426253D+04 0.0016337 0.0000008 EM 26 -0.20426240D+04 0.0013359 0.0000007 EM 27 -0.20426229D+04 0.0010947 0.0000005 EM 28 -0.20426220D+04 0.0008989 0.0000004 EM 29 -0.20426212D+04 0.0007393 0.0000004 EM 30 -0.20426206D+04 0.0006091 0.0000003 EM 31 -0.20426201D+04 0.0005025 0.0000002 EM 32 -0.20426197D+04 0.0004151 0.0000002 EM 33 -0.20426194D+04 0.0003434 0.0000002 EM 34 -0.20426191D+04 0.0002843 0.0000001 EM 35 -0.20426188D+04 0.0002356 0.0000001 EM 36 -0.20426186D+04 0.0001954 0.0000001 EM 37 -0.20426185D+04 0.0001622 0.0000001 EM 38 -0.20426183D+04 0.0001348 0.0000001 EM 39 -0.20426182D+04 0.0001120 0.0000001 EM 40 -0.20426181D+04 0.0000932 0.0000000 EM TECHNICAL 8 OUTPUT FOR THE BASELINE MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.22580575D+04 0.0000000 0.0000000 EM 2 -0.22580516D+04 0.0058095 0.0000026 EM 3 -0.22580496D+04 0.0020117 0.0000009 EM 4 -0.22580489D+04 0.0007623 0.0000003 EM 5 -0.22580486D+04 0.0003081 0.0000001 EM 6 -0.22580484D+04 0.0001349 0.0000001 EM 7 -0.22580484D+04 0.0000659 0.0000000 EM Beginning Time: 16:15:52 Ending Time: 16:15:52 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) 1998-2005 Muthen & Muthen