Mplus VERSION 5 MUTHEN & MUTHEN 02/03/2010 4:12 PM INPUT INSTRUCTIONS TITLE: LGC Unstructured Spline 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); s1 BY read_fk@0 (La1) read_sk*.5 (La2) read_f1*.8 (La3) read_s1@1 (La4) read_s3@1 (La5) read_s5@1 (La6) read_s8@1 (La7); s2 BY read_fk@0 (Lb1) read_sk@0 (Lb2) read_f1@0 (Lb3) read_s1@0 (Lb4) read_s3*.5 (Lb5) read_s5*.5 (Lb6) read_s8@1 (Lb7); !Means [read_fk-read_s8@0]; [l*10] (l); [s1*50] (a); [s2*10] (b); !Variances read_fk-read_s8*200;! (Ve); l*100 s1*20 s2*20 l WITH s1*0 s2*0; s1 WITH s2*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 3 Observed dependent variables Continuous READ_FK READ_SK READ_F1 READ_S1 READ_S3 READ_S5 READ_S8 Continuous latent variables L S1 S2 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 3112.727 Degrees of Freedom 15 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 0.961 TLI 0.945 Loglikelihood H0 Value -366355.120 H1 Value -364798.757 Information Criteria Number of Free Parameters 20 Akaike (AIC) 732750.240 Bayesian (BIC) 732909.162 Sample-Size Adjusted BIC 732845.603 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.099 90 Percent C.I. 0.097 0.102 Probability RMSEA <= .05 0.000 SRMR (Standardized Root Mean Square Residual) Value 0.135 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 S1 BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.266 0.001 229.855 0.000 READ_F1 0.430 0.002 172.047 0.000 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 S2 BY 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 0.548 0.002 343.734 0.000 READ_S5 0.799 0.002 477.597 0.000 READ_S8 1.000 0.000 999.000 999.000 L WITH S1 79.007 1.728 45.721 0.000 S2 -44.069 2.342 -18.818 0.000 S1 WITH S2 -54.967 4.765 -11.535 0.000 Means L 34.806 0.074 471.582 0.000 S1 41.595 0.144 289.641 0.000 S2 90.576 0.249 364.041 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 98.162 1.139 86.210 0.000 S1 289.452 4.472 64.731 0.000 S2 407.741 8.029 50.785 0.000 Residual Variances READ_FK 8.047 0.543 14.829 0.000 READ_SK 35.833 0.599 59.847 0.000 READ_F1 51.311 1.340 38.283 0.000 READ_S1 63.985 2.493 25.665 0.000 READ_S3 162.819 2.550 63.839 0.000 READ_S5 74.389 2.486 29.920 0.000 READ_S8 216.305 5.060 42.751 0.000 STANDARDIZED MODEL RESULTS STDYX Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 0.961 0.003 368.279 0.000 READ_SK 0.707 0.002 294.956 0.000 READ_F1 0.602 0.003 203.224 0.000 READ_S1 0.401 0.003 156.817 0.000 READ_S3 0.369 0.002 154.220 0.000 READ_S5 0.369 0.003 134.069 0.000 READ_S8 0.318 0.003 123.586 0.000 S1 BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.322 0.002 129.229 0.000 READ_F1 0.444 0.003 131.056 0.000 READ_S1 0.689 0.004 167.032 0.000 READ_S3 0.633 0.004 142.498 0.000 READ_S5 0.633 0.005 121.561 0.000 READ_S8 0.546 0.005 108.964 0.000 S2 BY 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 0.412 0.005 90.662 0.000 READ_S5 0.601 0.006 94.946 0.000 READ_S8 0.648 0.006 104.963 0.000 L WITH S1 0.469 0.010 45.946 0.000 S2 -0.220 0.012 -18.899 0.000 S1 WITH S2 -0.160 0.013 -12.586 0.000 Means L 3.513 0.022 160.711 0.000 S1 2.445 0.021 118.022 0.000 S2 4.486 0.046 97.995 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 S1 1.000 0.000 999.000 999.000 S2 1.000 0.000 999.000 999.000 Residual Variances READ_FK 0.076 0.005 15.095 0.000 READ_SK 0.182 0.003 60.847 0.000 READ_F1 0.189 0.004 42.286 0.000 READ_S1 0.105 0.004 26.283 0.000 READ_S3 0.225 0.004 62.400 0.000 READ_S5 0.103 0.003 29.489 0.000 READ_S8 0.223 0.004 49.833 0.000 STDY Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 0.961 0.003 368.279 0.000 READ_SK 0.707 0.002 294.956 0.000 READ_F1 0.602 0.003 203.224 0.000 READ_S1 0.401 0.003 156.817 0.000 READ_S3 0.369 0.002 154.220 0.000 READ_S5 0.369 0.003 134.069 0.000 READ_S8 0.318 0.003 123.586 0.000 S1 BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 0.322 0.002 129.229 0.000 READ_F1 0.444 0.003 131.056 0.000 READ_S1 0.689 0.004 167.032 0.000 READ_S3 0.633 0.004 142.498 0.000 READ_S5 0.633 0.005 121.561 0.000 READ_S8 0.546 0.005 108.964 0.000 S2 BY 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 0.412 0.005 90.662 0.000 READ_S5 0.601 0.006 94.946 0.000 READ_S8 0.648 0.006 104.963 0.000 L WITH S1 0.469 0.010 45.946 0.000 S2 -0.220 0.012 -18.899 0.000 S1 WITH S2 -0.160 0.013 -12.586 0.000 Means L 3.513 0.022 160.711 0.000 S1 2.445 0.021 118.022 0.000 S2 4.486 0.046 97.995 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 S1 1.000 0.000 999.000 999.000 S2 1.000 0.000 999.000 999.000 Residual Variances READ_FK 0.076 0.005 15.095 0.000 READ_SK 0.182 0.003 60.847 0.000 READ_F1 0.189 0.004 42.286 0.000 READ_S1 0.105 0.004 26.283 0.000 READ_S3 0.225 0.004 62.400 0.000 READ_S5 0.103 0.003 29.489 0.000 READ_S8 0.223 0.004 49.833 0.000 STD Standardization Two-Tailed Estimate S.E. Est./S.E. P-Value L BY READ_FK 9.908 0.057 172.420 0.000 READ_SK 9.908 0.057 172.420 0.000 READ_F1 9.908 0.057 172.420 0.000 READ_S1 9.908 0.057 172.420 0.000 READ_S3 9.908 0.057 172.420 0.000 READ_S5 9.908 0.057 172.420 0.000 READ_S8 9.908 0.057 172.420 0.000 S1 BY READ_FK 0.000 0.000 999.000 999.000 READ_SK 4.517 0.039 117.298 0.000 READ_F1 7.315 0.069 106.566 0.000 READ_S1 17.013 0.131 129.462 0.000 READ_S3 17.013 0.131 129.462 0.000 READ_S5 17.013 0.131 129.462 0.000 READ_S8 17.013 0.131 129.462 0.000 S2 BY 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 11.059 0.112 98.355 0.000 READ_S5 16.143 0.160 100.923 0.000 READ_S8 20.193 0.199 101.571 0.000 L WITH S1 0.469 0.010 45.946 0.000 S2 -0.220 0.012 -18.899 0.000 S1 WITH S2 -0.160 0.013 -12.586 0.000 Means L 3.513 0.022 160.711 0.000 S1 2.445 0.021 118.022 0.000 S2 4.486 0.046 97.995 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 S1 1.000 0.000 999.000 999.000 S2 1.000 0.000 999.000 999.000 Residual Variances READ_FK 8.047 0.543 14.829 0.000 READ_SK 35.833 0.599 59.847 0.000 READ_F1 51.311 1.340 38.283 0.000 READ_S1 63.985 2.493 25.665 0.000 READ_S3 162.819 2.550 63.839 0.000 READ_S5 74.389 2.486 29.920 0.000 READ_S8 216.305 5.060 42.751 0.000 R-SQUARE Observed Two-Tailed Variable Estimate S.E. Est./S.E. P-Value READ_FK 0.924 0.005 184.139 0.000 READ_SK 0.818 0.003 272.578 0.000 READ_F1 0.811 0.004 180.990 0.000 READ_S1 0.895 0.004 224.124 0.000 READ_S3 0.775 0.004 214.411 0.000 READ_S5 0.897 0.003 256.829 0.000 READ_S8 0.777 0.004 174.006 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 34.806 45.850 52.691 76.401 126.008 Model Estimated Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 148.812 166.977 Residuals for Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 0.015 0.067 -0.612 0.145 -0.476 Residuals for Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 -0.049 0.979 Standardized Residuals (z-scores) for Means/Intercepts/Thresholds READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ 1 999.000 3.612 -17.079 999.000 -6.264 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 0.201 0.677 -4.107 0.822 -2.171 Normalized Residuals for Means/Intercepts/Thresholds READ_S5 READ_S8 ________ ________ 1 -0.225 3.927 Model Estimated Covariances/Correlations/Residual Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 106.209 READ_SK 119.138 196.352 READ_F1 132.132 186.153 270.927 READ_S1 177.169 274.997 335.596 609.612 READ_S3 153.032 242.867 298.515 491.386 722.273 READ_S5 141.937 228.098 281.470 466.452 590.743 READ_S8 133.099 216.334 267.892 446.591 615.667 Model Estimated Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 722.267 READ_S8 693.388 971.602 Residuals for Covariances/Correlations/Residual Correlations READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK -1.991 READ_SK 0.573 2.728 READ_F1 11.643 39.928 42.933 READ_S1 -6.728 -9.012 20.294 -23.661 READ_S3 8.429 -2.343 14.259 18.185 86.274 READ_S5 -0.378 -15.812 -7.654 -14.067 62.460 READ_S8 -3.496 -27.272 -22.046 -46.692 -14.905 Residuals for Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 -7.584 READ_S8 -96.080 -180.956 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 2.189 3.094 READ_F1 11.017 23.688 14.156 READ_S1 999.000 -29.899 8.913 999.000 READ_S3 6.435 -1.199 4.042 6.220 14.158 READ_S5 -0.659 -11.983 -2.509 -13.725 18.215 READ_S8 -4.192 -16.772 -6.112 -33.486 -5.060 Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr READ_S5 READ_S8 ________ ________ READ_S5 -3.777 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 -1.846 READ_SK 0.426 1.352 READ_F1 6.334 15.102 10.364 READ_S1 -3.033 -2.849 4.494 -3.764 READ_S3 3.261 -0.652 2.791 2.731 9.292 READ_S5 -0.151 -4.548 -1.547 -2.212 7.552 READ_S8 -1.238 -7.111 -3.997 -6.802 -1.702 Normalized Residuals for Covariances/Correlations/Residual Correlations READ_S5 READ_S8 ________ ________ READ_S5 -0.865 READ_S8 -11.096 -16.607 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 S1 S2 ________ ________ ________ READ_FK 0 0 0 READ_SK 0 1 0 READ_F1 0 2 0 READ_S1 0 0 0 READ_S3 0 0 3 READ_S5 0 0 4 READ_S8 0 0 0 THETA READ_FK READ_SK READ_F1 READ_S1 READ_S3 ________ ________ ________ ________ ________ READ_FK 5 READ_SK 0 6 READ_F1 0 0 7 READ_S1 0 0 0 8 READ_S3 0 0 0 0 9 READ_S5 0 0 0 0 0 READ_S8 0 0 0 0 0 THETA READ_S5 READ_S8 ________ ________ READ_S5 10 READ_S8 0 11 ALPHA L S1 S2 ________ ________ ________ 1 12 13 14 BETA L S1 S2 ________ ________ ________ L 0 0 0 S1 0 0 0 S2 0 0 0 PSI L S1 S2 ________ ________ ________ L 15 S1 16 17 S2 18 19 20 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 S1 S2 ________ ________ ________ READ_FK 1.000 0.000 0.000 READ_SK 1.000 0.500 0.000 READ_F1 1.000 0.800 0.000 READ_S1 1.000 1.000 0.000 READ_S3 1.000 1.000 0.500 READ_S5 1.000 1.000 0.500 READ_S8 1.000 1.000 1.000 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 S1 S2 ________ ________ ________ 1 10.000 50.000 10.000 BETA L S1 S2 ________ ________ ________ L 0.000 0.000 0.000 S1 0.000 0.000 0.000 S2 0.000 0.000 0.000 PSI L S1 S2 ________ ________ ________ L 100.000 S1 0.000 20.000 S2 0.000 0.000 20.000 Beginning Time: 16:12:25 Ending Time: 16:12:31 Elapsed Time: 00:00:06 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