Mplus VERSION 3.01 MUTHEN & MUTHEN 06/07/2004 6:27 PM INPUT INSTRUCTIONS title: data from page 166 in eqs program. input adapted from appendix 6.3 page 166. figure 6.1 page 77. output. table 6.2 (combined columns), page 79. note. correlation is standardized value of int with slope. also table 6.3 (cohort sequential column), computed based on intercept and slope values, e.g. age 12: .304 + 0*.394 = .304 age 13: .304 + 1*.394 = .698 age 14: .304 + 2*.394 = 1.092 age 15: .304 + 3*.394 = 1.486 age 16: .304 + 4*.394 = 1.88 data: file is ch6co.dat; format is free; type is means covariance; ngroups = 4; nobservations = 248 250 231 215; variable: names are y1 y2 y3 y4 y5; usevar = y1-y5; analysis: type = general mgroup meanstructure; iterations = 200; model: ! model for group 4 int by y1@1 y2@1 y3@1 y4@1 y5@1; slp by y1@0 y2@1 y3@2 y4@3 y5@4; [y1@0 y2@0 y3@0 y4@0 y5@0]; [int] (m1); [slp] (m2); int with slp (r1); int (d1); slp (d2); y1 (e1); y2 (e2); y3 (e3); y4 (e4); y5 (e5); model g1: ! group 1 int by y1@1 y2@1 y3@1 y4@0 y5@0; ! different from overall slp by y1@0 y2@1 y3@2 y4@0 y5@0; ! different from overall [y1@0 y2@0 y3@0 y4@0 y5@0]; [int] (m1); [slp] (m2); int with slp (r1); int (d1); slp (d2); y1 (e1); y2 (e2); y3 (e3); y4@1; ! different from overall y5@1; ! different from overall model g2: ! group 2 int by y1@0 y2@1 y3@1 y4@1 y5@0; ! different from overall slp by y1@0 y2@1 y3@2 y4@3 y5@0; ! different from overall [y1@0 y2@0 y3@0 y4@0 y5@0]; [int] (m1); [slp] (m2); int with slp (r1); int (d1); slp (d2); y1 (e1); y2 (e2); y3 (e3); y1@1; ! different from overall y5@1; ! different from overall model g3: ! group 3 int by y1@0 y2@0 y3@1 y4@1 y5@1; ! different from overall slp by y1@0 y2@0 y3@2 y4@3 y5@4; ! different from overall [y1@0 y2@0 y3@0 y4@0 y5@0]; [int] (m1); [slp] (m2); int with slp (r1); int (d1); slp (d2); y1 (e1); y2 (e2); y3 (e3); y1@1; ! different from overall y2@1; ! different from overall model g4: ! no changes, same as overall model ! model for group 4 int by y1@1 y2@1 y3@1 y4@1 y5@1; slp by y1@0 y2@1 y3@2 y4@3 y5@4; [y1@0 y2@0 y3@0 y4@0 y5@0]; [int] (m1); [slp] (m2); int with slp (r1); int (d1); slp (d2); y1 (e1); y2 (e2); y3 (e3); y4 (e4); y5 (e5); output: tech1 samp standardized; INPUT READING TERMINATED NORMALLY data from page 166 in eqs program. input adapted from appendix 6.3 page 166. figure 6.1 page 77. output. table 6.2 (combined columns), page 79. note. correlation is standardized value of int with slope. also table 6.3 (cohort sequential column), computed based on intercept and slope values, e.g. age 12: .304 + 0*.394 = .304 age 13: .304 + 1*.394 = .698 age 14: .304 + 2*.394 = 1.092 age 15: .304 + 3*.394 = 1.486 age 16: .304 + 4*.394 = 1.88 SUMMARY OF ANALYSIS Number of groups 4 Number of observations Group G1 248 Group G2 250 Group G3 231 Group G4 215 Number of dependent variables 5 Number of independent variables 0 Number of continuous latent variables 2 Observed dependent variables Continuous Y1 Y2 Y3 Y4 Y5 Continuous latent variables INT SLP Estimator ML Information matrix EXPECTED Maximum number of iterations 200 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Input data file(s) ch6co.dat Input data format FREE SAMPLE STATISTICS SAMPLE STATISTICS FOR G1 Means/Intercepts/Thresholds Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.335 0.774 0.964 0.000 0.000 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.483 Y2 0.303 0.899 Y3 0.271 0.488 1.258 Y4 0.000 0.000 0.000 1.000 Y5 0.000 0.000 0.000 0.000 1.000 SAMPLE STATISTICS FOR G2 Means/Intercepts/Thresholds Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.764 0.992 1.384 0.000 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 0.759 Y3 0.000 0.400 0.988 Y4 0.000 0.412 0.683 1.315 Y5 0.000 0.000 0.000 0.000 1.000 SAMPLE STATISTICS FOR G3 Means/Intercepts/Thresholds Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.939 1.541 2.170 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 1.000 Y3 0.000 0.000 1.170 Y4 0.000 0.000 0.711 1.371 Y5 0.000 0.000 0.662 0.936 1.709 SAMPLE STATISTICS FOR G4 Means/Intercepts/Thresholds Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.367 0.544 1.072 1.442 2.200 Covariances/Correlations/Residual Correlations Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.477 Y2 0.285 0.632 Y3 0.362 0.429 1.330 Y4 0.342 0.431 0.872 1.472 Y5 0.277 0.419 0.648 0.860 1.806 THE MODEL ESTIMATION TERMINATED NORMALLY TESTS OF MODEL FIT Chi-Square Test of Model Fit Value 140.147 Degrees of Freedom 70 P-Value 0.0000 Chi-Square Test of Model Fit for the Baseline Model Value 848.001 Degrees of Freedom 40 P-Value 0.0000 CFI/TLI CFI 0.913 TLI 0.950 Loglikelihood H0 Value -6380.047 H1 Value -6309.974 Information Criteria Number of Free Parameters 10 Akaike (AIC) 12780.094 Bayesian (BIC) 12828.596 Sample-Size Adjusted BIC 12796.836 (n* = (n + 2) / 24) RMSEA (Root Mean Square Error Of Approximation) Estimate 0.065 90 Percent C.I. 0.049 0.081 SRMR (Standardized Root Mean Square Residual) Value 0.081 MODEL RESULTS Estimates S.E. Est./S.E. Std StdYX Group G1 INT BY Y1 1.000 0.000 0.000 0.533 0.765 Y2 1.000 0.000 0.000 0.533 0.599 Y3 1.000 0.000 0.000 0.533 0.498 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.232 0.261 Y3 2.000 0.000 0.000 0.464 0.434 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 INT WITH SLP 0.007 0.015 0.495 0.058 0.058 Means INT 0.304 0.028 11.061 0.571 0.571 SLP 0.394 0.013 29.550 1.702 1.702 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 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 Variances INT 0.284 0.036 7.969 1.000 1.000 SLP 0.054 0.008 6.359 1.000 1.000 Residual Variances Y1 0.201 0.032 6.294 0.201 0.415 Y2 0.439 0.030 14.858 0.439 0.555 Y3 0.616 0.036 16.918 0.616 0.539 Y4 1.000 0.000 0.000 1.000 1.000 Y5 1.000 0.000 0.000 1.000 1.000 Group G2 INT BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.533 0.599 Y3 1.000 0.000 0.000 0.533 0.498 Y4 1.000 0.000 0.000 0.533 0.463 Y5 0.000 0.000 0.000 0.000 0.000 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.232 0.261 Y3 2.000 0.000 0.000 0.464 0.434 Y4 3.000 0.000 0.000 0.696 0.604 Y5 0.000 0.000 0.000 0.000 0.000 INT WITH SLP 0.007 0.015 0.495 0.058 0.058 Means INT 0.304 0.028 11.061 0.571 0.571 SLP 0.394 0.013 29.550 1.702 1.702 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 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 Variances INT 0.284 0.036 7.969 1.000 1.000 SLP 0.054 0.008 6.359 1.000 1.000 Residual Variances Y1 1.000 0.000 0.000 1.000 1.000 Y2 0.439 0.030 14.858 0.439 0.555 Y3 0.616 0.036 16.918 0.616 0.539 Y4 0.516 0.044 11.724 0.516 0.389 Y5 1.000 0.000 0.000 1.000 1.000 Group G3 INT BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 0.000 0.000 0.000 0.000 0.000 Y3 1.000 0.000 0.000 0.533 0.498 Y4 1.000 0.000 0.000 0.533 0.463 Y5 1.000 0.000 0.000 0.533 0.366 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 0.000 0.000 0.000 0.000 0.000 Y3 2.000 0.000 0.000 0.464 0.434 Y4 3.000 0.000 0.000 0.696 0.604 Y5 4.000 0.000 0.000 0.927 0.637 INT WITH SLP 0.007 0.015 0.495 0.058 0.058 Means INT 0.304 0.028 11.061 0.571 0.571 SLP 0.394 0.013 29.550 1.702 1.702 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 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 Variances INT 0.284 0.036 7.969 1.000 1.000 SLP 0.054 0.008 6.359 1.000 1.000 Residual Variances Y1 1.000 0.000 0.000 1.000 1.000 Y2 1.000 0.000 0.000 1.000 1.000 Y3 0.616 0.036 16.918 0.616 0.539 Y4 0.516 0.044 11.724 0.516 0.389 Y5 0.921 0.089 10.300 0.921 0.434 Group G4 INT BY Y1 1.000 0.000 0.000 0.533 0.765 Y2 1.000 0.000 0.000 0.533 0.599 Y3 1.000 0.000 0.000 0.533 0.498 Y4 1.000 0.000 0.000 0.533 0.463 Y5 1.000 0.000 0.000 0.533 0.366 SLP BY Y1 0.000 0.000 0.000 0.000 0.000 Y2 1.000 0.000 0.000 0.232 0.261 Y3 2.000 0.000 0.000 0.464 0.434 Y4 3.000 0.000 0.000 0.696 0.604 Y5 4.000 0.000 0.000 0.927 0.637 INT WITH SLP 0.007 0.015 0.495 0.058 0.058 Means INT 0.304 0.028 11.061 0.571 0.571 SLP 0.394 0.013 29.550 1.702 1.702 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 Y4 0.000 0.000 0.000 0.000 0.000 Y5 0.000 0.000 0.000 0.000 0.000 Variances INT 0.284 0.036 7.969 1.000 1.000 SLP 0.054 0.008 6.359 1.000 1.000 Residual Variances Y1 0.201 0.032 6.294 0.201 0.415 Y2 0.439 0.030 14.858 0.439 0.555 Y3 0.616 0.036 16.918 0.616 0.539 Y4 0.516 0.044 11.724 0.516 0.389 Y5 0.921 0.089 10.300 0.921 0.434 R-SQUARE Group G1 Observed Variable R-Square Y1 0.585 Y2 0.445 Y3 0.461 Y4 0.000 Y5 0.000 Group G2 Observed Variable R-Square Y1 0.000 Y2 0.445 Y3 0.461 Y4 0.611 Y5 0.000 Group G3 Observed Variable R-Square Y1 0.000 Y2 0.000 Y3 0.461 Y4 0.611 Y5 0.566 Group G4 Observed Variable R-Square Y1 0.585 Y2 0.445 Y3 0.461 Y4 0.611 Y5 0.566 TECHNICAL 1 OUTPUT PARAMETER SPECIFICATION FOR G1 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 Y4 0 0 Y5 0 0 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1 Y2 0 2 Y3 0 0 3 Y4 0 0 0 0 Y5 0 0 0 0 0 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 Y4 Y5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 Y4 0 0 Y5 0 0 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0 Y2 0 2 Y3 0 0 3 Y4 0 0 0 9 Y5 0 0 0 0 0 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 Y4 Y5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 Y4 0 0 Y5 0 0 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0 Y2 0 0 Y3 0 0 3 Y4 0 0 0 9 Y5 0 0 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 PARAMETER SPECIFICATION FOR G4 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0 0 0 0 0 LAMBDA INT SLP ________ ________ Y1 0 0 Y2 0 0 Y3 0 0 Y4 0 0 Y5 0 0 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1 Y2 0 2 Y3 0 0 3 Y4 0 0 0 9 Y5 0 0 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 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 1.000 0.000 Y2 1.000 1.000 Y3 1.000 2.000 Y4 0.000 0.000 Y5 0.000 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.242 Y2 0.000 0.449 Y3 0.000 0.000 0.629 Y4 0.000 0.000 0.000 1.000 Y5 0.000 0.000 0.000 0.000 1.000 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 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 0.000 0.000 Y2 1.000 1.000 Y3 1.000 2.000 Y4 1.000 3.000 Y5 0.000 0.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 0.449 Y3 0.000 0.000 0.629 Y4 0.000 0.000 0.000 0.500 Y5 0.000 0.000 0.000 0.000 1.000 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 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 0.000 0.000 Y2 0.000 0.000 Y3 1.000 2.000 Y4 1.000 3.000 Y5 1.000 4.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 1.000 Y2 0.000 1.000 Y3 0.000 0.000 0.629 Y4 0.000 0.000 0.000 0.500 Y5 0.000 0.000 0.000 0.000 0.500 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 G4 NU Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ 1 0.000 0.000 0.000 0.000 0.000 LAMBDA INT SLP ________ ________ Y1 1.000 0.000 Y2 1.000 1.000 Y3 1.000 2.000 Y4 1.000 3.000 Y5 1.000 4.000 THETA Y1 Y2 Y3 Y4 Y5 ________ ________ ________ ________ ________ Y1 0.242 Y2 0.000 0.449 Y3 0.000 0.000 0.629 Y4 0.000 0.000 0.000 0.500 Y5 0.000 0.000 0.000 0.000 0.500 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: 18:27:01 Ending Time: 18:27:01 Elapsed Time: 00:00:00 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