Mplus VERSION 3.01 MUTHEN & MUTHEN 06/07/2004 6:37 PM INPUT INSTRUCTIONS title: Data from page 162 in EQS program. Input based on Appendix 6.1 page 162. Figure 6.1 page 77, first 3 groups only Output. Table 6.2 (cohort sequential columns), page 79. NOTE. Correlation is standardized value of int with slope. Also see text at top of page 79. Also Table 6.3 (cohort sequential column), computed based on intercept and slope values, e.g. 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 data: file = ch6cs.dat; format = free; type = means covariance; ngroups = 3; nobservations = 248 250 231; variable: names = y1 y2 y3; analysis: type = general mgroup meanstructure; model: ! this is the overall model int by y1@1 y2@1 y3@1; slp by y1@0 y2@1 y3@1; ! overidden for each group [y1-y3@0]; ! Note 1 [int] (mint); ! Note 1 [slp] (mslp); ! Note 1 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 int by y1@1 y2@1 y3@1; slp by y1@0 ; ! age 12 slp by y2@1 ; ! age 13 slp by y3@2 ; ! age 14 [y1-y3@0]; ! Note 1 [int] (mint); ! Note 1 [slp] (mslp); ! Note 1 int with slp (intslp); ! Note 1 int (vint); ! Note 1 slp (vslp); ! Note 1 y1 (e12); y2 (e13); y3 (e14); model g2: ! this is the model for group 2 int by y1@1 y2@1 y3@1; slp by y1@1; ! age 13 slp by y2@2; ! age 14 slp by y3@3; ! age 15 [y1-y3@0]; ! Note 1 [int] (mint); ! Note 1 [slp] (mslp); ! Note 1 int with slp (intslp); ! Note 1 int (vint); ! Note 1 slp (vslp); ! Note 1 y1 (e13); y2 (e14); y3 (e15); model g3: ! this is the model for group 3 int by y1@1 y2@1 y3@1; slp by y1@2; ! age 14 slp by y2@3; ! age 15 slp by y3@4; ! age 16 [y1-y3@0]; ! Note 1 [int] (mint); ! Note 1 [slp] (mslp); ! Note 1 int with slp (intslp); ! Note 1 int (vint); ! Note 1 slp (vslp); ! Note 1 y1 (e14); y2 (e15); y3 (e16); output: standardized tech1; ! Note 1 ! Note that these constraints are repeated across all ! three groups. We may have been able to just include this ! in the overall model and omitted them from each ! of the group specific models. INPUT READING TERMINATED NORMALLY Data from page 162 in EQS program. Input based on Appendix 6.1 page 162. Figure 6.1 page 77, first 3 groups only Output. Table 6.2 (cohort sequential columns), page 79. NOTE. Correlation is standardized value of int with slope. Also see text at top of page 79. Also Table 6.3 (cohort sequential column), computed based on intercept and slope values, e.g. 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 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 1000 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 66.207 Degrees of Freedom 17 P-Value 0.0000 Chi-Square Test of Model Fit for the Baseline Model Value 509.766 Degrees of Freedom 9 P-Value 0.0000 CFI/TLI CFI 0.902 TLI 0.948 Loglikelihood H0 Value -2916.676 H1 Value -2883.572 Information Criteria Number of Free Parameters 10 Akaike (AIC) 5853.352 Bayesian (BIC) 5899.269 Sample-Size Adjusted BIC 5867.516 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.109 90 Percent C.I. 0.082 0.137 SRMR (Standardized Root Mean Square Residual) Value 0.096 MODEL RESULTS Estimates S.E. Est./S.E. Std StdYX Group G1 INT BY Y1 1.000 0.000 0.000 0.560 0.799 Y2 1.000 0.000 0.000 0.560 0.617 Y3 1.000 0.000 0.000 0.560 0.529 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.276 0.304 Y3 2.000 0.000 0.000 0.552 0.522 INT WITH SLP -0.022 0.030 -0.714 -0.140 -0.140 Means INT 0.310 0.036 8.575 0.553 0.553 SLP 0.384 0.018 21.354 1.392 1.392 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 0.313 0.060 5.226 1.000 1.000 SLP 0.076 0.017 4.391 1.000 1.000 Residual Variances Y1 0.178 0.053 3.330 0.178 0.362 Y2 0.478 0.039 12.134 0.478 0.580 Y3 0.587 0.042 14.072 0.587 0.525 Group G2 INT BY Y1 1.000 0.000 0.000 0.560 0.617 Y2 1.000 0.000 0.000 0.560 0.529 Y3 1.000 0.000 0.000 0.560 0.485 SLP BY Y1 1.000 0.000 0.000 0.276 0.304 Y2 2.000 0.000 0.000 0.552 0.522 Y3 3.000 0.000 0.000 0.828 0.719 INT WITH SLP -0.022 0.030 -0.714 -0.140 -0.140 Means INT 0.310 0.036 8.575 0.553 0.553 SLP 0.384 0.018 21.354 1.392 1.392 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 0.313 0.060 5.226 1.000 1.000 SLP 0.076 0.017 4.391 1.000 1.000 Residual Variances Y1 0.478 0.039 12.134 0.478 0.580 Y2 0.587 0.042 14.072 0.587 0.525 Y3 0.459 0.053 8.658 0.459 0.345 Group G3 INT BY Y1 1.000 0.000 0.000 0.560 0.529 Y2 1.000 0.000 0.000 0.560 0.485 Y3 1.000 0.000 0.000 0.560 0.385 SLP BY Y1 2.000 0.000 0.000 0.552 0.522 Y2 3.000 0.000 0.000 0.828 0.719 Y3 4.000 0.000 0.000 1.105 0.759 INT WITH SLP -0.022 0.030 -0.714 -0.140 -0.140 Means INT 0.310 0.036 8.575 0.553 0.553 SLP 0.384 0.018 21.354 1.392 1.392 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 0.313 0.060 5.226 1.000 1.000 SLP 0.076 0.017 4.391 1.000 1.000 Residual Variances Y1 0.587 0.042 14.072 0.587 0.525 Y2 0.459 0.053 8.658 0.459 0.345 Y3 0.757 0.113 6.679 0.757 0.357 R-SQUARE Group G1 Observed Variable R-Square Y1 0.638 Y2 0.420 Y3 0.475 Group G2 Observed Variable R-Square Y1 0.420 Y2 0.475 Y3 0.655 Group G3 Observed Variable R-Square Y1 0.475 Y2 0.655 Y3 0.643 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 0 THETA Y1 Y2 Y3 ________ ________ ________ Y1 1 Y2 0 2 Y3 0 0 3 ALPHA INT SLP ________ ________ 1 4 5 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 6 SLP 7 8 PARAMETER SPECIFICATION FOR G2 NU Y1 Y2 Y3 ________ ________ ________ 1 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 THETA Y1 Y2 Y3 ________ ________ ________ Y1 2 Y2 0 3 Y3 0 0 9 ALPHA INT SLP ________ ________ 1 4 5 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 6 SLP 7 8 PARAMETER SPECIFICATION FOR G3 NU Y1 Y2 Y3 ________ ________ ________ 1 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 THETA Y1 Y2 Y3 ________ ________ ________ Y1 3 Y2 0 9 Y3 0 0 10 ALPHA INT SLP ________ ________ 1 4 5 BETA INT SLP ________ ________ INT 0 0 SLP 0 0 PSI INT SLP ________ ________ INT 6 SLP 7 8 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 2.000 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 2.000 Y3 1.000 3.000 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 2.000 Y2 1.000 3.000 Y3 1.000 4.000 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: 18:37:12 Ending Time: 18:37:13 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