Mplus VERSION 5.1 MUTHEN & MUTHEN 05/01/2008 4:58 PM INPUT INSTRUCTIONS TITLE: 5 y's plus 5 auxiliary z's y and z modeled together MONTECARLO: NAMES ARE y1-y5 z1-z5; NOBSERVATIONS = 200; NREPS = 100; missing = y1-y5; repsave = all; save = n2retestrep*.dat; MODEL POPULATION: f1 by z1-z5*.7; f2 by y1-y5*.7; f1-f2@1; f1 with f2*.6; z1-z5*.51; y1-y5*.51; z1-z5 pwith y1-y5*.4; MODEL MISSING: [y1-y5@-2]; y1-y5 ON z1-z5*.6; MODEL: f1 by z1-z5*.7; f2 by y1-y5*.7; f1-f2@1; f1 with f2*.6; z1-z5*.51; y1-y5*.51; z1-z5 pwith y1-y5*.4; OUTPUT: TECH9; INPUT READING TERMINATED NORMALLY 5 y's plus 5 auxiliary z's y and z modeled together SUMMARY OF ANALYSIS Number of groups 1 Number of observations 200 Number of replications Requested 100 Completed 100 Value of seed 0 Number of dependent variables 10 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous Y1 Y2 Y3 Y4 Y5 Z1 Z2 Z3 Z4 Z5 Continuous latent variables F1 F2 Estimator ML Information matrix OBSERVED Maximum number of iterations 1000 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 SUMMARY OF DATA FOR THE FIRST REPLICATION Number of missing data patterns 29 SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION MISSING DATA PATTERNS (x = not missing) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Y1 x x x x x x x x x x x x x Y2 x x x x x x x x x x x x x x Y3 x x x x x x x x x x x Y4 x x x x x x x x x x x Y5 x x x x x x x x x x Z1 x x x x x x x x x x x x x x x x x x x x Z2 x x x x x x x x x x x x x x x x x x x x Z3 x x x x x x x x x x x x x x x x x x x x Z4 x x x x x x x x x x x x x x x x x x x x Z5 x x x x x x x x x x x x x x x x x x x x 21 22 23 24 25 26 27 28 Y1 Y2 x Y3 x x x Y4 x x x x Y5 x x x Z1 x x x x x x x x Z2 x x x x x x x x Z3 x x x x x x x x Z4 x x x x x x x x Z5 x x x x x x x x MISSING DATA PATTERN FREQUENCIES Pattern Frequency Pattern Frequency Pattern Frequency 1 91 11 1 21 6 2 10 12 2 22 4 3 7 13 1 23 2 4 8 14 3 24 4 5 3 15 2 25 4 6 1 16 3 26 4 7 3 17 2 27 1 8 11 18 2 28 19 9 1 19 2 10 1 20 2 COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION Minimum covariance coverage value 0.100 PROPORTION OF DATA PRESENT Covariance Coverage Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.700 Y2 0.615 0.725 Y3 0.610 0.590 0.710 Y4 0.630 0.605 0.620 0.745 Y5 0.595 0.585 0.600 0.615 0.690 Z1 0.700 0.725 0.710 0.745 0.690 Z2 0.700 0.725 0.710 0.745 0.690 Z3 0.700 0.725 0.710 0.745 0.690 Z4 0.700 0.725 0.710 0.745 0.690 Z5 0.700 0.725 0.710 0.745 0.690 Covariance Coverage Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 1.000 Z2 1.000 1.000 Z3 1.000 1.000 1.000 Z4 1.000 1.000 1.000 1.000 Z5 1.000 1.000 1.000 1.000 1.000 SAMPLE STATISTICS FOR THE FIRST REPLICATION ESTIMATED SAMPLE STATISTICS Means Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 -0.016 0.110 0.041 0.021 0.094 Means Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ 1 -0.004 0.166 0.090 0.039 0.053 Covariances Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.997 Y2 0.573 0.966 Y3 0.533 0.524 0.931 Y4 0.651 0.518 0.520 1.161 Y5 0.657 0.680 0.570 0.718 1.312 Z1 0.673 0.277 0.317 0.345 0.494 Z2 0.371 0.678 0.313 0.373 0.529 Z3 0.357 0.270 0.700 0.349 0.465 Z4 0.359 0.270 0.370 0.774 0.479 Z5 0.377 0.338 0.359 0.391 0.935 Covariances Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 0.935 Z2 0.469 1.026 Z3 0.460 0.446 1.040 Z4 0.458 0.528 0.540 0.994 Z5 0.550 0.520 0.540 0.522 1.098 Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.584 1.000 Y3 0.553 0.553 1.000 Y4 0.605 0.489 0.500 1.000 Y5 0.575 0.604 0.516 0.582 1.000 Z1 0.697 0.291 0.340 0.331 0.446 Z2 0.367 0.681 0.320 0.341 0.456 Z3 0.351 0.269 0.711 0.317 0.398 Z4 0.361 0.275 0.384 0.721 0.419 Z5 0.360 0.328 0.355 0.346 0.780 Correlations Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 1.000 Z2 0.478 1.000 Z3 0.467 0.431 1.000 Z4 0.475 0.523 0.531 1.000 Z5 0.543 0.490 0.505 0.500 1.000 MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -1836.497 TESTS OF MODEL FIT Number of Free Parameters 36 Chi-Square Test of Model Fit Degrees of freedom 29 Mean 30.010 Std Dev 7.996 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 1.000 14.256 14.892 0.980 0.980 15.574 15.233 0.950 0.950 17.708 17.083 0.900 0.910 19.768 19.742 0.800 0.820 22.475 22.952 0.700 0.730 24.577 25.148 0.500 0.580 28.336 29.367 0.300 0.340 32.461 33.713 0.200 0.260 35.139 36.237 0.100 0.110 39.087 39.154 0.050 0.060 42.557 42.982 0.020 0.030 46.693 47.950 0.010 0.020 49.588 50.926 Loglikelihood H0 Value Mean -1882.529 Std Dev 28.111 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 0.970 -1947.925 -1981.271 0.980 0.970 -1940.262 -1954.179 0.950 0.940 -1928.770 -1932.949 0.900 0.920 -1918.557 -1915.903 0.800 0.820 -1906.188 -1906.078 0.700 0.710 -1897.271 -1896.855 0.500 0.560 -1882.529 -1879.134 0.300 0.250 -1867.788 -1869.300 0.200 0.180 -1858.871 -1864.330 0.100 0.070 -1846.502 -1849.765 0.050 0.040 -1836.289 -1837.418 0.020 0.020 -1824.797 -1825.935 0.010 0.010 -1817.134 -1824.107 H1 Value Mean -1867.524 Std Dev 28.614 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 0.970 -1934.088 -1962.721 0.980 0.970 -1926.288 -1939.841 0.950 0.940 -1914.591 -1918.407 0.900 0.900 -1904.195 -1906.581 0.800 0.810 -1891.605 -1892.687 0.700 0.740 -1882.529 -1880.746 0.500 0.540 -1867.524 -1866.803 0.300 0.260 -1852.519 -1854.183 0.200 0.180 -1843.443 -1846.676 0.100 0.060 -1830.853 -1836.327 0.050 0.040 -1820.458 -1821.315 0.020 0.020 -1808.760 -1809.367 0.010 0.010 -1800.960 -1806.721 Information Criteria Akaike (AIC) Mean 3837.058 Std Dev 56.223 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 0.990 3706.267 3697.677 0.980 0.980 3721.594 3720.213 0.950 0.960 3744.578 3745.367 0.900 0.930 3765.003 3769.246 0.800 0.820 3789.741 3792.584 0.700 0.750 3807.575 3809.955 0.500 0.440 3837.058 3829.137 0.300 0.290 3866.542 3863.037 0.200 0.180 3884.376 3882.283 0.100 0.080 3909.114 3900.395 0.050 0.060 3929.539 3937.836 0.020 0.030 3952.523 3972.874 0.010 0.030 3967.850 3980.358 Bayesian (BIC) Mean 3955.798 Std Dev 56.223 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 0.990 3825.007 3816.417 0.980 0.980 3840.333 3838.953 0.950 0.960 3863.317 3864.106 0.900 0.930 3883.743 3887.986 0.800 0.820 3908.481 3911.323 0.700 0.750 3926.315 3928.694 0.500 0.440 3955.798 3947.876 0.300 0.290 3985.281 3981.777 0.200 0.180 4003.115 4001.022 0.100 0.080 4027.853 4019.135 0.050 0.060 4048.279 4056.575 0.020 0.030 4071.263 4091.614 0.010 0.030 4086.589 4099.097 Sample-Size Adjusted BIC (n* = (n + 2) / 24) Mean 3841.746 Std Dev 56.223 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 0.990 3710.955 3702.365 0.980 0.980 3726.281 3724.901 0.950 0.960 3749.265 3750.055 0.900 0.930 3769.691 3773.934 0.800 0.820 3794.429 3797.272 0.700 0.750 3812.263 3814.642 0.500 0.440 3841.746 3833.824 0.300 0.290 3871.229 3867.725 0.200 0.180 3889.063 3886.971 0.100 0.080 3913.801 3905.083 0.050 0.060 3934.227 3942.523 0.020 0.030 3957.211 3977.562 0.010 0.030 3972.537 3985.045 RMSEA (Root Mean Square Error Of Approximation) Mean 0.016 Std Dev 0.019 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 1.000 -0.028 0.000 0.980 1.000 -0.022 0.000 0.950 1.000 -0.015 0.000 0.900 1.000 -0.008 0.000 0.800 0.530 0.000 0.000 0.700 0.520 0.006 0.000 0.500 0.420 0.016 0.008 0.300 0.310 0.026 0.029 0.200 0.260 0.032 0.035 0.100 0.140 0.040 0.042 0.050 0.060 0.047 0.049 0.020 0.030 0.055 0.057 0.010 0.020 0.060 0.061 SRMR (Standardized Root Mean Square Residual) Mean 0.039 Std Dev 0.008 Number of successful computations 100 Proportions Percentiles Expected Observed Expected Observed 0.990 1.000 0.021 0.023 0.980 0.980 0.023 0.023 0.950 0.950 0.027 0.025 0.900 0.920 0.029 0.030 0.800 0.780 0.033 0.032 0.700 0.700 0.035 0.034 0.500 0.470 0.039 0.038 0.300 0.290 0.043 0.043 0.200 0.220 0.046 0.047 0.100 0.110 0.049 0.049 0.050 0.040 0.052 0.051 0.020 0.020 0.055 0.054 0.010 0.010 0.057 0.055 MODEL RESULTS ESTIMATES S. E. M. S. E. 95% % Sig Population Average Std. Dev. Average Cover Coeff F1 BY Z1 0.700 0.6964 0.0556 0.0588 0.0031 0.990 1.000 Z2 0.700 0.6891 0.0531 0.0590 0.0029 0.970 1.000 Z3 0.700 0.7000 0.0612 0.0591 0.0037 0.950 1.000 Z4 0.700 0.6849 0.0515 0.0585 0.0029 0.960 1.000 Z5 0.700 0.6910 0.0572 0.0588 0.0033 0.930 1.000 F2 BY Y1 0.700 0.6932 0.0647 0.0639 0.0042 0.920 1.000 Y2 0.700 0.6842 0.0644 0.0636 0.0044 0.940 1.000 Y3 0.700 0.6946 0.0565 0.0643 0.0032 0.980 1.000 Y4 0.700 0.6934 0.0576 0.0638 0.0033 0.950 1.000 Y5 0.700 0.6906 0.0698 0.0634 0.0049 0.940 1.000 F1 WITH F2 0.600 0.5876 0.0574 0.0619 0.0034 0.980 1.000 Z1 WITH Y1 0.400 0.3994 0.0534 0.0582 0.0028 0.980 1.000 Z2 WITH Y2 0.400 0.4069 0.0586 0.0588 0.0034 0.950 1.000 Z3 WITH Y3 0.400 0.3950 0.0578 0.0580 0.0033 0.930 1.000 Z4 WITH Y4 0.400 0.3999 0.0628 0.0581 0.0039 0.920 1.000 Z5 WITH Y5 0.400 0.3951 0.0568 0.0576 0.0032 0.930 1.000 Intercepts Y1 0.000 -0.0106 0.0715 0.0753 0.0052 0.940 0.060 Y2 0.000 -0.0054 0.0804 0.0752 0.0064 0.920 0.080 Y3 0.000 0.0016 0.0775 0.0755 0.0060 0.960 0.040 Y4 0.000 -0.0099 0.0703 0.0755 0.0050 0.930 0.070 Y5 0.000 -0.0153 0.0784 0.0750 0.0063 0.940 0.060 Z1 0.000 -0.0046 0.0670 0.0704 0.0045 0.970 0.030 Z2 0.000 -0.0014 0.0691 0.0705 0.0047 0.960 0.040 Z3 0.000 0.0064 0.0713 0.0705 0.0051 0.940 0.060 Z4 0.000 -0.0036 0.0582 0.0699 0.0034 0.980 0.020 Z5 0.000 -0.0056 0.0783 0.0702 0.0061 0.940 0.060 Variances F1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 F2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000 Residual Variances Y1 0.510 0.5061 0.0612 0.0700 0.0037 0.990 1.000 Y2 0.510 0.5126 0.0756 0.0703 0.0057 0.940 1.000 Y3 0.510 0.5036 0.0685 0.0699 0.0047 0.940 1.000 Y4 0.510 0.5101 0.0727 0.0704 0.0052 0.930 1.000 Y5 0.510 0.4992 0.0692 0.0690 0.0049 0.920 1.000 Z1 0.510 0.5057 0.0572 0.0629 0.0033 0.970 1.000 Z2 0.510 0.5182 0.0620 0.0638 0.0039 0.980 1.000 Z3 0.510 0.5036 0.0648 0.0628 0.0042 0.930 1.000 Z4 0.510 0.5063 0.0620 0.0624 0.0038 0.950 1.000 Z5 0.510 0.5069 0.0642 0.0627 0.0041 0.930 1.000 TECHNICAL OUTPUT PARAMETER SPECIFICATION NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 1 2 3 4 5 NU Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ 1 6 7 8 9 10 LAMBDA F1 F2 ________ ________ Y1 0 11 Y2 0 12 Y3 0 13 Y4 0 14 Y5 0 15 Z1 16 0 Z2 17 0 Z3 18 0 Z4 19 0 Z5 20 0 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 21 Y2 0 22 Y3 0 0 23 Y4 0 0 0 24 Y5 0 0 0 0 25 Z1 26 0 0 0 0 Z2 0 28 0 0 0 Z3 0 0 30 0 0 Z4 0 0 0 32 0 Z5 0 0 0 0 34 THETA Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 27 Z2 0 29 Z3 0 0 31 Z4 0 0 0 33 Z5 0 0 0 0 35 ALPHA F1 F2 ________ ________ 1 0 0 BETA F1 F2 ________ ________ F1 0 0 F2 0 0 PSI F1 F2 ________ ________ F1 0 F2 36 0 STARTING VALUES NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA F1 F2 ________ ________ Y1 0.000 0.700 Y2 0.000 0.700 Y3 0.000 0.700 Y4 0.000 0.700 Y5 0.000 0.700 Z1 0.700 0.000 Z2 0.700 0.000 Z3 0.700 0.000 Z4 0.700 0.000 Z5 0.700 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.510 Y2 0.000 0.510 Y3 0.000 0.000 0.510 Y4 0.000 0.000 0.000 0.510 Y5 0.000 0.000 0.000 0.000 0.510 Z1 0.400 0.000 0.000 0.000 0.000 Z2 0.000 0.400 0.000 0.000 0.000 Z3 0.000 0.000 0.400 0.000 0.000 Z4 0.000 0.000 0.000 0.400 0.000 Z5 0.000 0.000 0.000 0.000 0.400 THETA Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 0.510 Z2 0.000 0.510 Z3 0.000 0.000 0.510 Z4 0.000 0.000 0.000 0.510 Z5 0.000 0.000 0.000 0.000 0.510 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.000 F2 0.600 1.000 POPULATION VALUES NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 NU Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA F1 F2 ________ ________ Y1 0.000 0.700 Y2 0.000 0.700 Y3 0.000 0.700 Y4 0.000 0.700 Y5 0.000 0.700 Z1 0.700 0.000 Z2 0.700 0.000 Z3 0.700 0.000 Z4 0.700 0.000 Z5 0.700 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.510 Y2 0.000 0.510 Y3 0.000 0.000 0.510 Y4 0.000 0.000 0.000 0.510 Y5 0.000 0.000 0.000 0.000 0.510 Z1 0.400 0.000 0.000 0.000 0.000 Z2 0.000 0.400 0.000 0.000 0.000 Z3 0.000 0.000 0.400 0.000 0.000 Z4 0.000 0.000 0.000 0.400 0.000 Z5 0.000 0.000 0.000 0.000 0.400 THETA Z1 Z2 Z3 Z4 Z5 ________ ________ ________ ________ ________ Z1 0.510 Z2 0.000 0.510 Z3 0.000 0.000 0.510 Z4 0.000 0.000 0.000 0.510 Z5 0.000 0.000 0.000 0.000 0.510 ALPHA F1 F2 ________ ________ 1 0.000 0.000 BETA F1 F2 ________ ________ F1 0.000 0.000 F2 0.000 0.000 PSI F1 F2 ________ ________ F1 1.000 F2 0.600 1.000 TECHNICAL 9 OUTPUT Error messages for each replication (if any) SAVEDATA INFORMATION Order of variables Y1 Y2 Y3 Y4 Y5 Z1 Z2 Z3 Z4 Z5 Save file n2retestrep*.dat Save file format Free Save file record length 5000 Missing designated by 999 Beginning Time: 16:58:04 Ending Time: 16:58:09 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) 1998-2008 Muthen & Muthen