Mplus VERSION 3.01 MUTHEN & MUTHEN 06/07/2004 6:32 PM INPUT INSTRUCTIONS title: Data from page 166 in EQS program. Input based on Appendix 6.3 page 166, but is only for group 4 (the true longitudinal group). Figure 6.1 page 77, group 4 only. Output. Table 6.4 (cohort sequential), page 81. NOTE. Correlation is standardized value of int with slope. Also Table 6.5 (cohort sequetial), computed based on intercept and slope values, e.g. ***** NOT DONE YET *** age 12: .310 + 0*.384 = .31 age 13: .310 + 1*.384 = .694 age 14: .310 + 2*.384 = 1.078 age 15: .310 + 3*.384 = 1.462 age 16: .310 + 4*.384 = 1.846 Streamlined specification data: file = ch6cs.dat; format = free; type = means covariance; ngroups = 3; nobservations = 248 250 231; variable: names = y1 y2 y3; usevar = y1-y3; analysis: type = general mgroup meanstructure; iterations = 100; model: ! this is the overall model int by y1@1 y2@1 y3@1; ! Note 1 slp by y1@0 y2@1 y3@1; ! overidden for each group [y1-y3@0]; ! Note 1 [int] (mint); ! Note 1, also see Note 2 [slp] (mslp); ! Note 1, also see Note 2 int with slp (intslp); ! Note 1 int (vint); ! Note 1 slp (vslp); ! Note 1 y1 (e14); ! overidden for each group y2 (e15); ! overidden for each group y3 (e16); ! overidden for each group model g1: ! this is the model for group 1 slp by y1@0 ; ! age 12 @ 0 slp by y2@1 ; ! age 13 @ 1 slp by y3 (age14); ! age 14 free, but constrained [int] (mint); ! Note 2 [slp] (mslp); ! Note 2 y1 (e12); y2 (e13); y3 (e14); model g2: ! this is the model for group 2 slp by y1@1; ! age 13 @ 1 slp by y2 (age14); ! age 14 free but constrained slp by y3 (age15); ! age 15 free but constrained y1 (e13); y2 (e14); y3 (e15); model g3: ! this is the model for group 3 slp by y1 (age14); ! age 14 free but constrained slp by y2 (age15); ! age 15 free but constrained slp by y3 (age16); ! age 16 free but constrained y1 (e14); y2 (e15); y3 (e16); output: standardized tech1; ! Note 1 ! Note that these constraints are given just in ! the overall model, but are implied across ! all groups (except see Note 2). ! Note 2 ! Be default, Mplus holds the means of these factors to be 0 ! for the first group. To override this, we include these ! factor means for group 1. INPUT READING TERMINATED NORMALLY Data from page 166 in EQS program. Input based on Appendix 6.3 page 166, but is only for group 4 (the true longitudinal group). Figure 6.1 page 77, group 4 only. Output. Table 6.4 (cohort sequential), page 81. NOTE. Correlation is standardized value of int with slope. Also Table 6.5 (cohort sequetial), computed based on intercept and slope values, e.g. ***** NOT DONE YET *** age 12: .310 + 0*.384 = .31 age 13: .310 + 1*.384 = .694 age 14: .310 + 2*.384 = 1.078 age 15: .310 + 3*.384 = 1.462 age 16: .310 + 4*.384 = 1.846 Streamlined specification SUMMARY OF ANALYSIS Number of groups 3 Number of observations Group G1 248 Group G2 250 Group G3 231 Number of dependent variables 3 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous Y1 Y2 Y3 Continuous latent variables INT SLP Estimator ML Information matrix EXPECTED Maximum number of iterations 100 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Input data file(s) ch6cs.dat Input data format FREE THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 37.139 Degrees of Freedom 14 P-Value 0.0007 Chi-Square Test of Model Fit for the Baseline Model Value 509.766 Degrees of Freedom 9 P-Value 0.0000 CFI/TLI CFI 0.954 TLI 0.970 Loglikelihood H0 Value -2902.142 H1 Value -2883.572 Information Criteria Number of Free Parameters 13 Akaike (AIC) 5830.284 Bayesian (BIC) 5889.976 Sample-Size Adjusted BIC 5848.697 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.082 90 Percent C.I. 0.051 0.115 SRMR (Standardized Root Mean Square Residual) Value 0.069 MODEL RESULTS Estimates S.E. Est./S.E. Std StdYX Group G1 INT BY Y1 1.000 0.000 0.000 0.513 0.724 Y2 1.000 0.000 0.000 0.513 0.561 Y3 1.000 0.000 0.000 0.513 0.493 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.242 0.265 Y3 1.482 0.122 12.107 0.359 0.345 INT WITH SLP 0.026 0.039 0.660 0.206 0.206 Means INT 0.321 0.041 7.819 0.626 0.626 SLP 0.448 0.046 9.687 1.850 1.850 Intercepts Y1 0.000 0.000 0.000 0.000 0.000 Y2 0.000 0.000 0.000 0.000 0.000 Y3 0.000 0.000 0.000 0.000 0.000 Variances INT 0.263 0.065 4.051 1.000 1.000 SLP 0.059 0.028 2.110 1.000 1.000 Residual Variances Y1 0.239 0.058 4.106 0.239 0.476 Y2 0.462 0.039 11.870 0.462 0.553 Y3 0.615 0.042 14.697 0.615 0.568 Group G2 INT BY Y1 1.000 0.000 0.000 0.513 0.561 Y2 1.000 0.000 0.000 0.513 0.493 Y3 1.000 0.000 0.000 0.513 0.448 SLP BY Y1 1.000 0.000 0.000 0.242 0.265 Y2 1.482 0.122 12.107 0.359 0.345 Y3 2.561 0.222 11.530 0.621 0.542 INT WITH SLP 0.026 0.039 0.660 0.206 0.206 Means INT 0.321 0.041 7.819 0.626 0.626 SLP 0.448 0.046 9.687 1.850 1.850 Intercepts Y1 0.000 0.000 0.000 0.000 0.000 Y2 0.000 0.000 0.000 0.000 0.000 Y3 0.000 0.000 0.000 0.000 0.000 Variances INT 0.263 0.065 4.051 1.000 1.000 SLP 0.059 0.028 2.110 1.000 1.000 Residual Variances Y1 0.462 0.039 11.870 0.462 0.553 Y2 0.615 0.042 14.697 0.615 0.568 Y3 0.531 0.055 9.694 0.531 0.405 Group G3 INT BY Y1 1.000 0.000 0.000 0.513 0.493 Y2 1.000 0.000 0.000 0.513 0.448 Y3 1.000 0.000 0.000 0.513 0.367 SLP BY Y1 1.482 0.122 12.107 0.359 0.345 Y2 2.561 0.222 11.530 0.621 0.542 Y3 3.930 0.378 10.408 0.952 0.681 INT WITH SLP 0.026 0.039 0.660 0.206 0.206 Means INT 0.321 0.041 7.819 0.626 0.626 SLP 0.448 0.046 9.687 1.850 1.850 Intercepts Y1 0.000 0.000 0.000 0.000 0.000 Y2 0.000 0.000 0.000 0.000 0.000 Y3 0.000 0.000 0.000 0.000 0.000 Variances INT 0.263 0.065 4.051 1.000 1.000 SLP 0.059 0.028 2.110 1.000 1.000 Residual Variances Y1 0.615 0.042 14.697 0.615 0.568 Y2 0.531 0.055 9.694 0.531 0.405 Y3 0.585 0.126 4.632 0.585 0.299 R-SQUARE Group G1 Observed Variable R-Square Y1 0.524 Y2 0.447 Y3 0.432 Group G2 Observed Variable R-Square Y1 0.447 Y2 0.432 Y3 0.595 Group G3 Observed Variable R-Square Y1 0.432 Y2 0.595 Y3 0.701 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR G1 NU Y1 Y2 Y3 ________ ________ ________ 1 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 1 THETA Y1 Y2 Y3 ________ ________ ________ Y1 2 Y2 0 3 Y3 0 0 4 ALPHA INT SLP ________ ________ 1 5 6 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 7 SLP 8 9 PARAMETER SPECIFICATION FOR G2 NU Y1 Y2 Y3 ________ ________ ________ 1 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 1 Y3 0 10 THETA Y1 Y2 Y3 ________ ________ ________ Y1 3 Y2 0 4 Y3 0 0 11 ALPHA INT SLP ________ ________ 1 5 6 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 7 SLP 8 9 PARAMETER SPECIFICATION FOR G3 NU Y1 Y2 Y3 ________ ________ ________ 1 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 1 Y2 0 10 Y3 0 12 THETA Y1 Y2 Y3 ________ ________ ________ Y1 4 Y2 0 11 Y3 0 0 13 ALPHA INT SLP ________ ________ 1 5 6 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 7 SLP 8 9 STARTING VALUES FOR G1 NU Y1 Y2 Y3 ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 1.000 0.000 Y2 1.000 1.000 Y3 1.000 1.000 THETA Y1 Y2 Y3 ________ ________ ________ Y1 0.242 Y2 0.000 0.449 Y3 0.000 0.000 0.629 ALPHA INT SLP ________ ________ 1 0.000 0.000 BETA INT SLP ________ ________ INT 0.000 0.000 SLP 0.000 0.000 PSI INT SLP ________ ________ INT 0.050 SLP 0.000 0.050 STARTING VALUES FOR G2 NU Y1 Y2 Y3 ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 1.000 1.000 Y2 1.000 1.000 Y3 1.000 1.000 THETA Y1 Y2 Y3 ________ ________ ________ Y1 0.242 Y2 0.000 0.449 Y3 0.000 0.000 0.629 ALPHA INT SLP ________ ________ 1 0.000 0.000 BETA INT SLP ________ ________ INT 0.000 0.000 SLP 0.000 0.000 PSI INT SLP ________ ________ INT 0.050 SLP 0.000 0.050 STARTING VALUES FOR G3 NU Y1 Y2 Y3 ________ ________ ________ 1 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 1.000 1.000 Y2 1.000 1.000 Y3 1.000 1.000 THETA Y1 Y2 Y3 ________ ________ ________ Y1 0.242 Y2 0.000 0.449 Y3 0.000 0.000 0.629 ALPHA INT SLP ________ ________ 1 0.000 0.000 BETA INT SLP ________ ________ INT 0.000 0.000 SLP 0.000 0.000 PSI INT SLP ________ ________ INT 0.050 SLP 0.000 0.050 Beginning Time: 18:32:36 Ending Time: 18:32:37 Elapsed Time: 00:00:01 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) 1998-2004 Muthen & Muthen