Mplus VERSION 5 MUTHEN & MUTHEN 02/03/2010 4:06 PM INPUT INSTRUCTIONS TITLE: LGC Unstructured Model - ECLS; !ECLS-Reading Data; DATA: FILE=ecls_math_read_miss.dat; VARIABLE: NAMES = id female math_fk math_sk math_f1 math_s1 math_s3 math_s5 math_s8 read_fk read_sk read_f1 read_s1 read_s3 read_s5 read_s8; MISSING = .; USEVAR = read_fk read_sk read_f1 read_s1 read_s3 read_s5 read_s8; ANALYSIS: TYPE= MISSING MEANSTRUCTURE H1; COVERAGE=0; ESTIMATOR = ML; ITERATIONS = 15000; MODEL: !Factor Loadings l BY read_fk@1 (Ll1) read_sk@1 (Ll2) read_f1@1 (Ll3) read_s1@1 (Ll4) read_s3@1 (Ll5) read_s5@1 (Ll6) read_s8@1 (Ll7); s BY read_fk@0 (La1) read_sk*.5 (La2) read_f1*1 (La3) read_s1*1.5 (La4) read_s3*3.5 (La5) read_s5*5.5 (La6) read_s8@8.5 (La7); !Means [read_fk-read_s8@0]; [l*10] (l); [s*10] (a); !Variances read_fk-read_s8*200;! (Ve); l*100 s*20 l WITH s*0; OUTPUT: SAMPSTAT STANDARDIZED TECH1 RESIDUAL; *** WARNING in Analysis command Starting with Version 5, TYPE=MISSING is the default for all analyses. To obtain listwise deletion, use LISTWISE=ON in the DATA command. *** WARNING in Analysis command Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all analyses. To remove means from the model, use MODEL=NOMEANSTRUCTURE in the ANALYSIS command. *** WARNING in Analysis command Starting with Version 5, TYPE=H1 is the default for all analyses with missing data. To turn off the estimation of the H1 model and the computation of chi-square, use NOCHISQUARE in the OUTPUT command. *** 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: 538 4 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS LGC Linear Model - ECLS; SUMMARY OF ANALYSIS Number of groups 1 Number of observations 20871 Number of dependent variables 7 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous READ_FK READ_SK READ_F1 READ_S1 READ_S3 READ_S5 READ_S8 Continuous latent variables L S Estimator ML Information matrix OBSERVED Maximum number of iterations 15000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Maximum number of iterations for H1 2000 Convergence criterion for H1 0.100D-03 Input data file(s) ecls_math_read_miss.dat Input data format FREE SUMMARY OF DATA Number of missing data patterns 113 COVARIANCE COVERAGE OF DATA Minimum covariance coverage value 0.000 PROPORTION OF DATA PRESENT Covariance Coverage READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 0.844 READ_SK 0.803 0.907 READ_F1 0.210 0.235 0.242 READ_S1 0.668 0.745 0.231 0.783 READ_S3 0.569 0.634 0.207 0.647 0.684 READ_S5 0.447 0.500 0.157 0.514 0.526 READ_S8 0.371 0.413 0.130 0.420 0.423 Covariance Coverage READ_S5 READ_S8 ________ ________ READ_S5 0.540 READ_S8 0.422 0.442 SAMPLE STATISTICS ESTIMATED SAMPLE STATISTICS Means READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 34.821 45.917 52.078 76.546 125.532 Means READ_S5 READ_S8 ________ ________ 1 148.764 167.956 Covariances READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 104.218 READ_SK 119.711 199.081 READ_F1 143.776 226.081 313.859 READ_S1 170.441 265.985 355.889 585.951 READ_S3 161.462 240.524 312.774 509.571 808.547 READ_S5 141.559 212.286 273.815 452.385 653.203 READ_S8 129.603 189.062 245.846 399.899 600.762 Covariances READ_S5 READ_S8 ________ ________ READ_S5 714.683 READ_S8 597.309 790.646 Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 1.000 READ_SK 0.831 1.000 READ_F1 0.795 0.904 1.000 READ_S1 0.690 0.779 0.830 1.000 READ_S3 0.556 0.600 0.621 0.740 1.000 READ_S5 0.519 0.563 0.578 0.699 0.859 READ_S8 0.451 0.477 0.494 0.588 0.751 Correlations READ_S5 READ_S8 ________ ________ READ_S5 1.000 READ_S8 0.795 1.000 MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -364798.757 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 11803.518 Degrees of Freedom 18 P-Value 0.0000 Chi-Square Test of Model Fit for the Baseline Model Value 78549.611 Degrees of Freedom 21 P-Value 0.0000 CFI/TLI CFI 0.850 TLI 0.825 Loglikelihood H0 Value -370700.515 H1 Value -364798.757 Information Criteria Number of Free Parameters 17 Akaike (AIC) 741435.031 Bayesian (BIC) 741570.115 Sample-Size Adjusted BIC 741516.089 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.177 90 Percent C.I. 0.174 0.180 Probability RMSEA <= .05 0.000 SRMR (Standardized Root Mean Square Residual) Value 0.303 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 1.000 0.000 999.000 999.000 READ_SK 1.000 0.000 999.000 999.000 READ_F1 1.000 0.000 999.000 999.000 READ_S1 1.000 0.000 999.000 999.000 READ_S3 1.000 0.000 999.000 999.000 READ_S5 1.000 0.000 999.000 999.000 READ_S8 1.000 0.000 999.000 999.000 S BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.733 0.004 200.441 0.000 READ_F1 1.168 0.009 131.057 0.000 READ_S1 2.761 0.008 337.804 0.000 READ_S3 5.917 0.011 561.527 0.000 READ_S5 7.364 0.011 690.691 0.000 READ_S8 8.500 0.000 999.000 999.000 L WITH S 10.096 0.302 33.459 0.000 Means L 34.691 0.078 445.989 0.000 S 15.428 0.032 476.241 0.000 Intercepts READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.000 0.000 999.000 999.000 READ_F1 0.000 0.000 999.000 999.000 READ_S1 0.000 0.000 999.000 999.000 READ_S3 0.000 0.000 999.000 999.000 READ_S5 0.000 0.000 999.000 999.000 READ_S8 0.000 0.000 999.000 999.000 Variances L 108.543 1.226 88.568 0.000 S 9.569 0.143 66.976 0.000 Residual Variances READ_FK 9.065 0.500 18.144 0.000 READ_SK 45.562 0.700 65.126 0.000 READ_F1 87.705 2.055 42.675 0.000 READ_S1 200.625 2.518 79.690 0.000 READ_S3 167.984 2.669 62.927 0.000 READ_S5 72.371 2.350 30.797 0.000 READ_S8 257.697 5.018 51.350 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 0.961 0.002 474.923 0.000 READ_SK 0.790 0.002 321.376 0.000 READ_F1 0.683 0.004 179.293 0.000 READ_S1 0.498 0.003 186.392 0.000 READ_S3 0.385 0.002 155.441 0.000 READ_S5 0.358 0.003 136.721 0.000 READ_S8 0.297 0.002 135.944 0.000 S BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.172 0.002 107.392 0.000 READ_F1 0.237 0.003 92.522 0.000 READ_S1 0.408 0.003 137.424 0.000 READ_S3 0.677 0.003 204.948 0.000 READ_S5 0.782 0.003 250.431 0.000 READ_S8 0.750 0.003 256.783 0.000 L WITH S 0.313 0.009 36.194 0.000 Means L 3.330 0.020 162.741 0.000 S 4.988 0.038 129.550 0.000 Intercepts READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.000 0.000 999.000 999.000 READ_F1 0.000 0.000 999.000 999.000 READ_S1 0.000 0.000 999.000 999.000 READ_S3 0.000 0.000 999.000 999.000 READ_S5 0.000 0.000 999.000 999.000 READ_S8 0.000 0.000 999.000 999.000 Variances L 1.000 0.000 999.000 999.000 S 1.000 0.000 999.000 999.000 Residual Variances READ_FK 0.077 0.004 19.831 0.000 READ_SK 0.262 0.004 66.837 0.000 READ_F1 0.377 0.006 59.412 0.000 READ_S1 0.458 0.005 101.457 0.000 READ_S3 0.230 0.004 60.718 0.000 READ_S5 0.085 0.003 31.018 0.000 READ_S8 0.210 0.004 55.461 0.000 STDY Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 0.961 0.002 474.923 0.000 READ_SK 0.790 0.002 321.376 0.000 READ_F1 0.683 0.004 179.293 0.000 READ_S1 0.498 0.003 186.392 0.000 READ_S3 0.385 0.002 155.441 0.000 READ_S5 0.358 0.003 136.721 0.000 READ_S8 0.297 0.002 135.944 0.000 S BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.172 0.002 107.392 0.000 READ_F1 0.237 0.003 92.522 0.000 READ_S1 0.408 0.003 137.424 0.000 READ_S3 0.677 0.003 204.948 0.000 READ_S5 0.782 0.003 250.431 0.000 READ_S8 0.750 0.003 256.783 0.000 L WITH S 0.313 0.009 36.194 0.000 Means L 3.330 0.020 162.741 0.000 S 4.988 0.038 129.550 0.000 Intercepts READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.000 0.000 999.000 999.000 READ_F1 0.000 0.000 999.000 999.000 READ_S1 0.000 0.000 999.000 999.000 READ_S3 0.000 0.000 999.000 999.000 READ_S5 0.000 0.000 999.000 999.000 READ_S8 0.000 0.000 999.000 999.000 Variances L 1.000 0.000 999.000 999.000 S 1.000 0.000 999.000 999.000 Residual Variances READ_FK 0.077 0.004 19.831 0.000 READ_SK 0.262 0.004 66.837 0.000 READ_F1 0.377 0.006 59.412 0.000 READ_S1 0.458 0.005 101.457 0.000 READ_S3 0.230 0.004 60.718 0.000 READ_S5 0.085 0.003 31.018 0.000 READ_S8 0.210 0.004 55.461 0.000 STD Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 10.418 0.059 177.137 0.000 READ_SK 10.418 0.059 177.137 0.000 READ_F1 10.418 0.059 177.137 0.000 READ_S1 10.418 0.059 177.137 0.000 READ_S3 10.418 0.059 177.137 0.000 READ_S5 10.418 0.059 177.137 0.000 READ_S8 10.418 0.059 177.137 0.000 S BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 2.267 0.020 111.779 0.000 READ_F1 3.614 0.038 94.007 0.000 READ_S1 8.540 0.068 126.154 0.000 READ_S3 18.303 0.137 133.111 0.000 READ_S5 22.779 0.169 134.541 0.000 READ_S8 26.294 0.196 133.951 0.000 L WITH S 0.313 0.009 36.194 0.000 Means L 3.330 0.020 162.741 0.000 S 4.988 0.038 129.550 0.000 Intercepts READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.000 0.000 999.000 999.000 READ_F1 0.000 0.000 999.000 999.000 READ_S1 0.000 0.000 999.000 999.000 READ_S3 0.000 0.000 999.000 999.000 READ_S5 0.000 0.000 999.000 999.000 READ_S8 0.000 0.000 999.000 999.000 Variances L 1.000 0.000 999.000 999.000 S 1.000 0.000 999.000 999.000 Residual Variances READ_FK 9.065 0.500 18.144 0.000 READ_SK 45.562 0.700 65.126 0.000 READ_F1 87.705 2.055 42.675 0.000 READ_S1 200.625 2.518 79.690 0.000 READ_S3 167.984 2.669 62.927 0.000 READ_S5 72.371 2.350 30.797 0.000 READ_S8 257.697 5.018 51.350 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value READ_FK 0.923 0.004 237.461 0.000 READ_SK 0.738 0.004 188.466 0.000 READ_F1 0.623 0.006 98.359 0.000 READ_S1 0.542 0.005 119.966 0.000 READ_S3 0.770 0.004 203.496 0.000 READ_S5 0.915 0.003 332.628 0.000 READ_S8 0.790 0.004 209.092 0.000 QUALITY OF NUMERICAL RESULTS Condition Number for the Information Matrix 0.435E-04 (ratio of smallest to largest eigenvalue) RESIDUAL OUTPUT ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED) Model Estimated Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 34.691 45.995 52.718 77.286 125.976 Model Estimated Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 148.301 165.833 Residuals for Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 0.130 -0.078 -0.639 -0.740 -0.444 Residuals for Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 0.462 2.123 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 999.000 -2.194 999.000 -8.727 -6.544 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 999.000 999.000 Normalized Residuals for Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 1.780 -0.783 -4.289 -4.198 -2.025 Normalized Residuals for Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 2.143 8.514 Model Estimated Covariances/Correlations/Residual Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 117.608 READ_SK 115.941 174.037 READ_F1 120.339 135.929 232.905 READ_S1 136.416 163.170 179.080 437.850 READ_S3 168.277 217.158 246.226 352.459 730.980 READ_S5 182.885 241.911 277.013 405.295 659.529 READ_S8 194.357 261.350 301.189 446.786 735.335 Model Estimated Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 848.469 READ_S8 867.637 1229.228 Residuals for Covariances/Correlations/Residual Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK -13.390 READ_SK 3.771 25.044 READ_F1 23.436 90.152 80.955 READ_S1 34.025 102.815 176.809 148.101 READ_S3 -6.815 23.367 66.548 157.112 77.567 READ_S5 -41.326 -29.626 -3.197 47.090 -6.326 READ_S8 -64.754 -72.288 -55.343 -46.887 -134.572 Residuals for Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 -133.786 READ_S8 -270.328 -438.582 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 999.000 READ_SK 11.060 18.290 READ_F1 19.033 41.539 24.523 READ_S1 23.084 40.543 44.087 28.501 READ_S3 -7.535 10.466 16.549 31.280 13.904 READ_S5 999.000 -25.499 -0.965 12.560 999.000 READ_S8 999.000 -61.155 -14.996 -12.538 999.000 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr READ_S5 READ_S8 ________ ________ READ_S5 999.000 READ_S8 999.000 999.000 Normalized Residuals for Covariances/Correlations/Residual Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK -12.415 READ_SK 2.801 12.406 READ_F1 12.749 34.099 19.543 READ_S1 15.339 32.501 39.154 23.560 READ_S3 -2.637 6.499 13.027 23.595 8.355 READ_S5 -16.467 -8.522 -0.646 7.404 -0.765 READ_S8 -22.938 -18.849 -10.033 -6.830 -15.371 Normalized Residuals for Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 -15.259 READ_S8 -31.219 -40.251 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION NU READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 0 0 0 0 0 NU READ_S5 READ_S8 ________ ________ 1 0 0 LAMBDA L S ________ ________ READ_FK 0 0 READ_SK 0 1 READ_F1 0 2 READ_S1 0 3 READ_S3 0 4 READ_S5 0 5 READ_S8 0 0 THETA READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 6 READ_SK 0 7 READ_F1 0 0 8 READ_S1 0 0 0 9 READ_S3 0 0 0 0 10 READ_S5 0 0 0 0 0 READ_S8 0 0 0 0 0 THETA READ_S5 READ_S8 ________ ________ READ_S5 11 READ_S8 0 12 ALPHA L S ________ ________ 1 13 14 BETA L S ________ ________ L 0 0 S 0 0 PSI L S ________ ________ L 15 S 16 17 STARTING VALUES NU READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU READ_S5 READ_S8 ________ ________ 1 0.000 0.000 LAMBDA L S ________ ________ READ_FK 1.000 0.000 READ_SK 1.000 0.500 READ_F1 1.000 1.000 READ_S1 1.000 1.500 READ_S3 1.000 3.500 READ_S5 1.000 5.500 READ_S8 1.000 8.500 THETA READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 200.000 READ_SK 0.000 200.000 READ_F1 0.000 0.000 200.000 READ_S1 0.000 0.000 0.000 200.000 READ_S3 0.000 0.000 0.000 0.000 200.000 READ_S5 0.000 0.000 0.000 0.000 0.000 READ_S8 0.000 0.000 0.000 0.000 0.000 THETA READ_S5 READ_S8 ________ ________ READ_S5 200.000 READ_S8 0.000 200.000 ALPHA L S ________ ________ 1 10.000 10.000 BETA L S ________ ________ L 0.000 0.000 S 0.000 0.000 PSI L S ________ ________ L 100.000 S 0.000 20.000 Beginning Time: 16:06:08 Ending Time: 16:06:13 Elapsed Time: 00:00:05 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) 1998-2007 Muthen & Muthen