Mplus DEVELOPMENT (Dev 02/20/2006) MUTHEN & MUTHEN 03/03/2006 10:23 AM INPUT INSTRUCTIONS TITLE: this is an example of a two-level ancova for a continuous dependent variable data: file = anovaB.dat; variable: names are y x w clus; cluster = clus; between = w; ANALYSIS: TYPE = TWOLEVEL; model: %within% y on x; %between% y on w x; output: tech8 tech1; INPUT READING TERMINATED NORMALLY this is an example of a two-level ancova for a continuous dependent variable 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 Between variables 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) anovaB.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 0.243 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 0.007* 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 446.523 Degrees of Freedom 3 P-Value 0.0000 CFI/TLI CFI 1.000 TLI 1.000 Loglikelihood H0 Value -2040.900 H0 Scaling Correction Factor 0.899 for MLR H1 Value -2040.897 H1 Scaling Correction Factor 0.899 for MLR Information Criteria Number of Free Parameters 6 Akaike (AIC) 4093.801 Bayesian (BIC) 4121.107 Sample-Size Adjusted BIC 4102.056 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 SRMR (Standardized Root Mean Square Residual) Value for Between 0.003 Value for Within 0.000 MODEL RESULTS Estimates S.E. Est./S.E. Within Level Y ON X 0.995 0.036 27.972 Residual Variances Y 0.961 0.054 17.748 Between Level Y ON W 0.762 0.177 4.296 X 0.206 0.423 0.487 Intercepts Y 2.173 0.127 17.056 Residual Variances Y 0.457 0.101 4.538 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.296E-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 0 X 0 0 0 W 0 0 0 PSI Y X W ________ ________ ________ Y 2 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 3 0 0 BETA Y X W ________ ________ ________ Y 0 4 5 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 1.262 X 0.000 0.505 W 0.000 0.000 0.000 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 1.262 X 0.000 0.505 W 0.000 0.000 0.125 TECHNICAL 8 OUTPUT E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.25444481D+04 0.0000000 0.0000000 EM 2 -0.20683222D+04 476.1258224 0.1871234 EM 3 -0.20457760D+04 22.5462469 0.0109007 EM 4 -0.20433211D+04 2.4549081 0.0012000 EM 5 -0.20423967D+04 0.9243835 0.0004524 EM 6 -0.20418986D+04 0.4981408 0.0002439 EM 7 -0.20415975D+04 0.3010228 0.0001474 EM 8 -0.20414031D+04 0.1944174 0.0000952 EM 9 -0.20412716D+04 0.1315304 0.0000644 EM 10 -0.20411795D+04 0.0921254 0.0000451 EM 11 -0.20411132D+04 0.0662897 0.0000325 EM 12 -0.20410644D+04 0.0487372 0.0000239 EM 13 -0.20410280D+04 0.0364670 0.0000179 EM 14 -0.20410003D+04 0.0276853 0.0000136 EM 15 -0.20409790D+04 0.0212766 0.0000104 EM 16 -0.20409625D+04 0.0165217 0.0000081 EM 17 -0.20409496D+04 0.0129438 0.0000063 EM 18 -0.20409393D+04 0.0102187 0.0000050 EM 19 -0.20409312D+04 0.0081215 0.0000040 EM 20 -0.20409247D+04 0.0064921 0.0000032 EM 21 -0.20409195D+04 0.0052166 0.0000026 EM 22 -0.20409153D+04 0.0042104 0.0000021 EM 23 -0.20409119D+04 0.0034121 0.0000017 EM 24 -0.20409091D+04 0.0027749 0.0000014 EM 25 -0.20409068D+04 0.0022640 0.0000011 EM 26 -0.20409050D+04 0.0018524 0.0000009 EM 27 -0.20409035D+04 0.0015195 0.0000007 EM 28 -0.20409022D+04 0.0012492 0.0000006 EM 29 -0.20409012D+04 0.0010292 0.0000005 EM 30 -0.20409003D+04 0.0008495 0.0000004 EM TECHNICAL 8 OUTPUT FOR THE H1 MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.20532153D+04 0.0000000 0.0000000 EM 2 -0.20445156D+04 8.6996942 0.0042371 EM 3 -0.20429640D+04 1.5515296 0.0007589 EM 4 -0.20422226D+04 0.7414223 0.0003629 EM 5 -0.20417997D+04 0.4228715 0.0002071 EM 6 -0.20415365D+04 0.2632298 0.0001289 EM 7 -0.20413631D+04 0.1733673 0.0000849 EM 8 -0.20412442D+04 0.1189074 0.0000582 EM 9 -0.20411601D+04 0.0841192 0.0000412 EM 10 -0.20410991D+04 0.0609842 0.0000299 EM 11 -0.20410540D+04 0.0450979 0.0000221 EM 12 -0.20410201D+04 0.0338997 0.0000166 EM 13 -0.20409943D+04 0.0258328 0.0000127 EM 14 -0.20409744D+04 0.0199143 0.0000098 EM 15 -0.20409589D+04 0.0155039 0.0000076 EM 16 -0.20409467D+04 0.0121731 0.0000060 EM 17 -0.20409371D+04 0.0096285 0.0000047 EM 18 -0.20409294D+04 0.0076648 0.0000038 EM 19 -0.20409233D+04 0.0061359 0.0000030 EM 20 -0.20409183D+04 0.0049364 0.0000024 EM 21 -0.20409144D+04 0.0039888 0.0000020 EM 22 -0.20409111D+04 0.0032356 0.0000016 EM 23 -0.20409085D+04 0.0026337 0.0000013 EM 24 -0.20409063D+04 0.0021505 0.0000011 EM 25 -0.20409046D+04 0.0017607 0.0000009 EM 26 -0.20409031D+04 0.0014452 0.0000007 EM 27 -0.20409019D+04 0.0011888 0.0000006 EM 28 -0.20409010D+04 0.0009799 0.0000005 EM 29 -0.20409002D+04 0.0008092 0.0000004 EM 30 -0.20408995D+04 0.0006693 0.0000003 EM 31 -0.20408989D+04 0.0005544 0.0000003 EM 32 -0.20408985D+04 0.0004598 0.0000002 EM 33 -0.20408981D+04 0.0003819 0.0000002 EM 34 -0.20408978D+04 0.0003175 0.0000002 EM 35 -0.20408975D+04 0.0002642 0.0000001 EM 36 -0.20408973D+04 0.0002201 0.0000001 EM 37 -0.20408971D+04 0.0001835 0.0000001 EM 38 -0.20408969D+04 0.0001531 0.0000001 EM 39 -0.20408968D+04 0.0001278 0.0000001 EM 40 -0.20408967D+04 0.0001067 0.0000001 EM 41 -0.20408966D+04 0.0000892 0.0000000 EM TECHNICAL 8 OUTPUT FOR THE BASELINE MODEL E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM 1 -0.22641840D+04 0.0000000 0.0000000 EM 2 -0.22641653D+04 0.0186119 0.0000082 EM 3 -0.22641604D+04 0.0049095 0.0000022 EM 4 -0.22641590D+04 0.0013998 0.0000006 EM 5 -0.22641586D+04 0.0004412 0.0000002 EM 6 -0.22641584D+04 0.0001658 0.0000001 EM 7 -0.22641584D+04 0.0000794 0.0000000 EM Beginning Time: 10:23:39 Ending Time: 10:23:39 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