Mplus VERSION 3.01 MUTHEN & MUTHEN 06/07/2004 5:39 PM INPUT INSTRUCTIONS title: Checked. 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: int slp | y1@0 y2@1 y3@2; ! group 1 model [int] (mint); ! Note 1 [slp] (mslp); ! Note 1 int with slp (intslp); ! Note 1 int (vint); ! Note 1 slp (vslp); ! Note 1 model g1: int slp | y1@0 y2@1 y3@2; ! repeating group 1 model y1 (e12); ! error for age 12 y2 (e13); ! error for age 13 y3 (e14); ! error for age 14 model g2: int slp | y1@1 y2@2 y3@3; ! group 2 model y1 (e13); ! error for age 13 y2 (e14); ! error for age 14 y3 (e15); ! error for age 15 model g3: int slp | y1@2 y2@3 y3@4; ! group 3 model y1 (e14); ! error for age 14 y2 (e15); ! error for age 15 y3 (e16); ! error for age 16 output: samp standardized tech1; ! Note 1: These parameters, by appearing in the overall ! model with contraints, appear for all groups, ! constrained to be equal. INPUT READING TERMINATED NORMALLY Checked. 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 SAMPLE STATISTICS SAMPLE STATISTICS FOR G1 Means/Intercepts/Thresholds Y1 Y2 Y3 ________ ________ ________ 1 0.335 0.774 0.964 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 ________ ________ ________ Y1 0.483 Y2 0.303 0.899 Y3 0.271 0.488 1.258 SAMPLE STATISTICS FOR G2 Means/Intercepts/Thresholds Y1 Y2 Y3 ________ ________ ________ 1 0.764 0.992 1.384 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 ________ ________ ________ Y1 0.759 Y2 0.400 0.988 Y3 0.412 0.683 1.315 SAMPLE STATISTICS FOR G3 Means/Intercepts/Thresholds Y1 Y2 Y3 ________ ________ ________ 1 0.939 1.541 2.170 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 ________ ________ ________ Y1 1.170 Y2 0.711 1.371 Y3 0.662 0.936 1.709 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 | 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 | 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 | 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 | 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 | 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 | 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: 17:39:40 Ending Time: 17:39:41 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