The SAS System 18:58 Saturday, December 23, 2006 1 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Variance Components Subject Effect dyad Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 2 Columns in X 4 Columns in Z Per Subject 1 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 151.36231855 1 3 142.93879700 0.00021212 2 1 142.92593166 0.00000266 3 1 142.92577949 0.00000000 Convergence criteria met. The SAS System 18:58 Saturday, December 23, 2006 2 The Mixed Procedure Covariance Parameter Estimates Standard Z Cov Parm Subject Estimate Error Value Pr Z Intercept dyad 176.42 102.50 1.72 0.0426 Residual 43.7557 21.4390 2.04 0.0206 Fit Statistics -2 Res Log Likelihood 142.9 AIC (smaller is better) 146.9 AICC (smaller is better) 147.8 BIC (smaller is better) 147.5 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 71.8309 4.4695 7.66 16.07 <.0001 contrib 0.8448 0.2557 13.9 3.30 0.0053 culture -9.0328 4.4695 7.66 -2.02 0.0795 contrib*culture 0.4873 0.2557 13.9 1.91 0.0776 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F contrib 1 13.9 10.92 0.0053 culture 1 7.66 4.08 0.0795 contrib*culture 1 13.9 3.63 0.0776 The SAS System 18:58 Saturday, December 23, 2006 3 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Compound Symmetry Subject Effect dyad Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 2 Columns in X 4 Columns in Z 0 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 151.36231855 1 2 142.93879700 0.00021212 2 1 142.92593166 0.00000266 3 1 142.92577949 0.00000000 Convergence criteria met. The SAS System 18:58 Saturday, December 23, 2006 4 The Mixed Procedure Covariance Parameter Estimates Standard Z Cov Parm Subject Estimate Error Value Pr Z CS dyad 176.42 102.50 1.72 0.0852 Residual 43.7557 21.4390 2.04 0.0206 Fit Statistics -2 Res Log Likelihood 142.9 AIC (smaller is better) 146.9 AICC (smaller is better) 147.8 BIC (smaller is better) 147.5 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 1 8.44 0.0037 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 71.8309 4.4695 7.66 16.07 <.0001 contrib 0.8448 0.2557 13.9 3.30 0.0053 culture -9.0328 4.4695 7.66 -2.02 0.0795 contrib*culture 0.4873 0.2557 13.9 1.91 0.0776 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F contrib 1 13.9 10.92 0.0053 culture 1 7.66 4.08 0.0795 contrib*culture 1 13.9 3.63 0.0776 The SAS System 18:58 Saturday, December 23, 2006 5 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Compound Symmetry Subject Effect dyad Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 2 Columns in X 1 Columns in Z 0 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 166.76741614 1 1 158.48889210 0.00000000 Convergence criteria met. The SAS System 18:58 Saturday, December 23, 2006 6 The Mixed Procedure Covariance Parameter Estimates Standard Z Cov Parm Subject Estimate Error Value Pr Z CS dyad 255.45 141.02 1.81 0.0701 Residual 82.3000 36.8057 2.24 0.0127 Fit Statistics -2 Res Log Likelihood 158.5 AIC (smaller is better) 162.5 AICC (smaller is better) 163.2 BIC (smaller is better) 163.1 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 1 8.28 0.0040 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 71.1000 5.4461 9 13.06 <.0001 The SAS System 18:58 Saturday, December 23, 2006 7 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Heterogeneous Compound Symmetry Subject Effect dyad Estimation Method REML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 3 Columns in X 5 Columns in Z 0 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 146.92001450 1 2 138.93943493 0.00133207 2 1 138.85862688 0.00003145 3 1 138.85684442 0.00000003 4 1 138.85684290 0.00000000 The SAS System 18:58 Saturday, December 23, 2006 8 The Mixed Procedure Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate Var(1) dyad 189.89 Var(2) dyad 263.27 CSH dyad 0.8059 Fit Statistics -2 Res Log Likelihood 138.9 AIC (smaller is better) 144.9 AICC (smaller is better) 147.0 BIC (smaller is better) 145.8 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 2 8.06 0.0177 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 71.7882 4.5287 7.43 15.85 <.0001 sex -1.0937 1.8378 7.43 -0.60 0.5695 contrib 0.8852 0.3113 10.7 2.84 0.0165 culture -9.6665 4.4185 7.37 -2.19 0.0630 contrib*culture 0.4588 0.2754 9.98 1.67 0.1268 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F sex 1 7.43 0.35 0.5695 contrib 1 10.7 8.08 0.0165 culture 1 7.37 4.79 0.0630 contrib*culture 1 9.98 2.78 0.1268 The SAS System 18:58 Saturday, December 23, 2006 9 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Heterogeneous Compound Symmetry Subject Effect dyad Estimation Method REML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 3 Columns in X 6 Columns in Z 0 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 145.73263385 1 2 139.91500938 0.00101828 2 1 139.84995992 0.00004653 3 1 139.84721552 0.00000013 4 1 139.84720815 0.00000000 The SAS System 18:58 Saturday, December 23, 2006 10 The Mixed Procedure Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate Var(1) dyad 192.22 Var(2) dyad 266.65 CSH dyad 0.7784 Fit Statistics -2 Res Log Likelihood 139.8 AIC (smaller is better) 145.8 AICC (smaller is better) 148.2 BIC (smaller is better) 146.8 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 2 5.89 0.0527 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 71.6468 4.6632 7.29 15.36 <.0001 sex -0.9910 1.9929 6.18 -0.50 0.6362 contrib 0.8464 0.3537 13.4 2.39 0.0320 culture -9.5949 4.4266 5.99 -2.17 0.0734 contrib*culture 0.4379 0.3008 10.6 1.46 0.1745 sex*contrib 0.02752 0.2506 7.5 0.11 0.9155 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F sex 1 6.18 0.25 0.6362 contrib 1 13.4 5.73 0.0320 culture 1 5.99 4.70 0.0734 The SAS System 18:58 Saturday, December 23, 2006 11 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F contrib*culture 1 10.6 2.12 0.1745 sex*contrib 1 7.5 0.01 0.9155 The SAS System 18:58 Saturday, December 23, 2006 12 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structure Heterogeneous Compound Symmetry Subject Effect dyad Estimation Method REML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 sex 2 -1 1 Dimensions Covariance Parameters 3 Columns in X 8 Columns in Z 0 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 135.22913689 1 2 130.98484546 0.00012161 2 1 130.97796753 0.00000047 3 1 130.97794165 0.00000000 The SAS System 18:58 Saturday, December 23, 2006 13 The Mixed Procedure Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate Var(1) dyad 190.96 Var(2) dyad 288.55 CSH dyad 0.7245 Fit Statistics -2 Res Log Likelihood 131.0 AIC (smaller is better) 137.0 AICC (smaller is better) 140.0 BIC (smaller is better) 137.9 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 2 4.25 0.1194 Solution for Fixed Effects Standard Effect sex Estimate Error DF t Value Pr > |t| sex -1 72.0908 4.8209 6.31 14.95 <.0001 sex 1 69.5905 5.9790 7.61 11.64 <.0001 contrib*sex -1 0.6523 0.5416 7.48 1.20 0.2651 contrib*sex 1 0.9350 0.4450 5.6 2.10 0.0837 culture*sex -1 -10.1783 4.8209 6.31 -2.11 0.0770 culture*sex 1 -6.9905 5.9790 7.61 -1.17 0.2776 contrib*culture*sex -1 0.3185 0.5416 7.48 0.59 0.5738 contrib*culture*sex 1 0.2326 0.4450 5.6 0.52 0.6212 The SAS System 18:58 Saturday, December 23, 2006 14 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F sex 2 6.95 116.53 <.0001 contrib*sex 2 6.65 2.44 0.1603 culture*sex 2 6.95 2.24 0.1772 contrib*culture*sex 2 6.65 0.25 0.7883 The SAS System 18:58 Saturday, December 23, 2006 15 The Mixed Procedure Model Information Data Set WORK.DYADHLM Dependent Variable future Covariance Structures Unstructured, Variance Components Subject Effect dyad Estimation Method REML Residual Variance Method Parameter Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values dyad 10 1 2 3 4 5 6 7 8 9 10 Dimensions Covariance Parameters 4 Columns in X 5 Columns in Z Per Subject 2 Subjects 10 Max Obs Per Subject 2 Number of Observations Number of Observations Read 20 Number of Observations Used 20 Number of Observations Not Used 0 Parameter Search CovP1 CovP2 CovP3 CovP4 Res Log Like -2 Res Log Like 2.0000 1.0000 2.0000 0.000100 -703.8748 1407.7496 Iteration History Iteration Evaluations -2 Res Log Like Criterion 1 2 965.44591401 0.46879025 The SAS System 18:58 Saturday, December 23, 2006 16 The Mixed Procedure Iteration History Iteration Evaluations -2 Res Log Like Criterion 2 1 672.57918077 0.44998809 3 1 479.32449850 0.42204129 4 1 352.45882566 0.38261516 5 1 269.82364113 0.33078429 6 1 216.63150928 0.26857595 7 1 183.00085037 0.20168866 8 1 162.30803489 0.13813974 9 1 150.08328397 0.08522637 10 1 143.27318938 0.04682958 11 1 139.77181451 0.02240182 12 1 138.17298992 0.00843524 13 1 137.59989513 0.00190923 14 1 137.47906582 0.00014599 15 1 137.47060926 0.00000110 16 1 137.47054852 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate UN(1,1) dyad 189.89 UN(2,1) dyad 180.19 UN(2,2) dyad 263.26 Residual 0.000100 Fit Statistics -2 Res Log Likelihood 137.5 AIC (smaller is better) 143.5 AICC (smaller is better) 145.7 BIC (smaller is better) 144.4 PARMS Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 3 1270.28 <.0001 The SAS System 18:58 Saturday, December 23, 2006 17 The Mixed Procedure Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| x1 72.8818 4.4976 7.77 16.20 <.0001 x2 70.6945 5.2482 8.27 13.47 <.0001 contrib 0.8852 0.3113 10.7 2.84 0.0165 culture -9.6665 4.4184 7.37 -2.19 0.0630 contrib*culture 0.4588 0.2754 9.98 1.67 0.1268 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F x1 1 7.77 262.58 <.0001 x2 1 8.27 181.45 <.0001 contrib 1 10.7 8.08 0.0165 culture 1 7.37 4.79 0.0630 contrib*culture 1 9.98 2.78 0.1268