| SAS Model 1.1: Empty Model with Homogeneous Errors |
| Model Information | |
|---|---|
| Data Set | WORK.EX1 |
| Dependent Variable | lg_rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | Item, ID, ID |
| Estimation Method | ML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 3 |
| Columns in X | 1 |
| Columns in Z | 204 |
| Subjects | 1 |
| Max Obs Per Subject | 7803 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 7803 |
| Number of Observations Used | 7646 |
| Number of Observations Not Used | 157 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Log Like | Criterion |
| 0 | 1 | 18819.72618532 | |
| 1 | 2 | 15178.28226381 | 0.00002126 |
| 2 | 1 | 15178.27022752 | 0.00000000 |
| Convergence criteria met. |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
| UN(1,1) | Item | 0.1242 | 0.02514 | 4.94 | <.0001 |
| UN(1,1) | ID | 0.1798 | 0.02150 | 8.36 | <.0001 |
| Residual | ID | 0.3899 | 0.006391 | 61.00 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 15178.3 |
| AIC (smaller is better) | 15186.3 |
| AICC (smaller is better) | 15186.3 |
| BIC (smaller is better) | 15178.3 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 2 | 3641.46 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 15178.3 | 4 | 15186.3 | 15186.3 | 15178.3 | 15178.3 | 15182.3 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.6226 | 0.06051 | 102 | 26.82 | <.0001 |
| SAS Model 1.2a: Main Effects Model with Homogeneous Errors |
| Model Information | |
|---|---|
| Data Set | WORK.EX1 |
| Dependent Variable | lg_rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | Item, ID, ID |
| Estimation Method | ML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 3 |
| Columns in X | 5 |
| Columns in Z | 204 |
| Subjects | 1 |
| Max Obs Per Subject | 7803 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 7803 |
| Number of Observations Used | 7646 |
| Number of Observations Not Used | 157 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Log Like | Criterion |
| 0 | 1 | 16384.48713600 | |
| 1 | 2 | 14885.27448271 | 0.00002139 |
| 2 | 1 | 14885.26544933 | 0.00000001 |
| Convergence criteria met. |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
| UN(1,1) | Item | 0.08725 | 0.01780 | 4.90 | <.0001 |
| UN(1,1) | ID | 0.02289 | 0.003523 | 6.50 | <.0001 |
| Residual | ID | 0.3899 | 0.006391 | 61.00 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 14885.3 |
| AIC (smaller is better) | 14901.3 |
| AICC (smaller is better) | 14901.3 |
| BIC (smaller is better) | 14885.3 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 2 | 1499.22 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 14885.3 | 8 | 14901.3 | 14901.3 | 14885.3 | 14885.3 | 14893.3 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.3067 | 0.04580 | 66.3 | 28.53 | <.0001 |
| c_mean | -0.05167 | 0.02277 | 51 | -2.27 | 0.0275 |
| c_sal | -0.1316 | 0.03931 | 51 | -3.35 | 0.0015 |
| oldage | 0.5899 | 0.05517 | 153 | 10.69 | <.0001 |
| yrs65 | 0.02021 | 0.004375 | 154 | 4.62 | <.0001 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| c_mean | 1 | 51 | 5.15 | 0.0275 |
| c_sal | 1 | 51 | 11.21 | 0.0015 |
| oldage | 1 | 153 | 114.33 | <.0001 |
| yrs65 | 1 | 154 | 21.34 | <.0001 |
| SAS Model 1.2b: Main Effects Model with Heterogeneous Errors |
| Model Information | |
|---|---|
| Data Set | WORK.EX1 |
| Dependent Variable | lg_rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | Item, ID, ID |
| Group Effects | older, older |
| Estimation Method | ML |
| Residual Variance Method | None |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 5 |
| Columns in X | 5 |
| Columns in Z | 357 |
| Subjects | 1 |
| Max Obs Per Subject | 7803 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 7803 |
| Number of Observations Used | 7646 |
| Number of Observations Not Used | 157 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Log Like | Criterion |
| 0 | 1 | 16384.48713600 | |
| 1 | 2 | 14692.20530775 | 0.00008622 |
| 2 | 1 | 14692.17702246 | 0.00000015 |
| 3 | 1 | 14692.17697430 | 0.00000000 |
| Convergence criteria met. |
| Covariance Parameter Estimates | ||||||
|---|---|---|---|---|---|---|
| Cov Parm | Subject | Group | Estimate | Standard Error | Z Value | Pr > Z |
| UN(1,1) | Item | 0.08807 | 0.01793 | 4.91 | <.0001 | |
| UN(1,1) | ID | older 0 | 0.01083 | 0.002499 | 4.33 | <.0001 |
| UN(1,1) | ID | older 1 | 0.04318 | 0.01001 | 4.31 | <.0001 |
| Residual | ID | older 0 | 0.3236 | 0.006719 | 48.16 | <.0001 |
| Residual | ID | older 1 | 0.5065 | 0.01395 | 36.30 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 14692.2 |
| AIC (smaller is better) | 14712.2 |
| AICC (smaller is better) | 14712.2 |
| BIC (smaller is better) | 14692.2 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 4 | 1692.31 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 14692.2 | 10 | 14712.2 | 14712.2 | 14692.2 | 14692.2 | 14702.2 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.3056 | 0.04444 | 58.2 | 29.38 | <.0001 |
| c_mean | -0.05504 | 0.02286 | 51 | -2.41 | 0.0197 |
| c_sal | -0.1341 | 0.03946 | 51 | -3.40 | 0.0013 |
| oldage | 0.5900 | 0.07007 | 61.4 | 8.42 | <.0001 |
| yrs65 | 0.02021 | 0.005761 | 57.3 | 3.51 | 0.0009 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| c_mean | 1 | 51 | 5.80 | 0.0197 |
| c_sal | 1 | 51 | 11.55 | 0.0013 |
| oldage | 1 | 61.4 | 70.90 | <.0001 |
| yrs65 | 1 | 57.3 | 12.30 | 0.0009 |
| SAS Model 1.3a: All Two-Way and Three-Way Interactions |
| Model Information | |
|---|---|
| Data Set | WORK.EX1 |
| Dependent Variable | lg_rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | Item, ID, ID |
| Group Effects | older, older |
| Estimation Method | ML |
| Residual Variance Method | None |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 5 |
| Columns in X | 12 |
| Columns in Z | 357 |
| Subjects | 1 |
| Max Obs Per Subject | 7803 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 7803 |
| Number of Observations Used | 7646 |
| Number of Observations Not Used | 157 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Log Like | Criterion |
| 0 | 1 | 16341.99397839 | |
| 1 | 2 | 14651.69232490 | 0.00009102 |
| 2 | 1 | 14651.66437023 | 0.00000015 |
| 3 | 1 | 14651.66432402 | 0.00000000 |
| Convergence criteria met. |
| Covariance Parameter Estimates | ||||||
|---|---|---|---|---|---|---|
| Cov Parm | Subject | Group | Estimate | Standard Error | Z Value | Pr > Z |
| UN(1,1) | Item | 0.08778 | 0.01788 | 4.91 | <.0001 | |
| UN(1,1) | ID | older 0 | 0.01083 | 0.002499 | 4.34 | <.0001 |
| UN(1,1) | ID | older 1 | 0.04320 | 0.009995 | 4.32 | <.0001 |
| Residual | ID | older 0 | 0.3230 | 0.006697 | 48.23 | <.0001 |
| Residual | ID | older 1 | 0.5007 | 0.01376 | 36.39 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 14651.7 |
| AIC (smaller is better) | 14685.7 |
| AICC (smaller is better) | 14685.7 |
| BIC (smaller is better) | 14651.7 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 4 | 1690.33 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 14651.7 | 17 | 14685.7 | 14685.7 | 14651.7 | 14651.7 | 14668.7 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.3038 | 0.04538 | 58 | 28.73 | <.0001 |
| c_mean | -0.06402 | 0.02305 | 52 | -2.78 | 0.0076 |
| c_sal | -0.1425 | 0.04092 | 52 | -3.48 | 0.0010 |
| oldage | 0.6071 | 0.07065 | 63.7 | 8.59 | <.0001 |
| yrs65 | 0.02079 | 0.005808 | 59.4 | 3.58 | 0.0007 |
| c_mean*c_sal | -0.00270 | 0.01939 | 52 | -0.14 | 0.8897 |
| c_mean*oldage | 0.01413 | 0.01704 | 3049 | 0.83 | 0.4070 |
| c_mean*yrs65 | 0.002245 | 0.001388 | 2651 | 1.62 | 0.1059 |
| c_sal*oldage | -0.01542 | 0.03026 | 3048 | -0.51 | 0.6103 |
| c_sal*yrs65 | 0.002619 | 0.002454 | 2650 | 1.07 | 0.2860 |
| c_mean*c_sal*oldage | -0.02520 | 0.01441 | 3045 | -1.75 | 0.0804 |
| c_mean*c_sal*yrs65 | 0.000022 | 0.001171 | 2651 | 0.02 | 0.9850 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| c_mean | 1 | 52 | 7.71 | 0.0076 |
| c_sal | 1 | 52 | 12.13 | 0.0010 |
| oldage | 1 | 63.7 | 73.85 | <.0001 |
| yrs65 | 1 | 59.4 | 12.81 | 0.0007 |
| c_mean*c_sal | 1 | 52 | 0.02 | 0.8897 |
| c_mean*oldage | 1 | 3049 | 0.69 | 0.4070 |
| c_mean*yrs65 | 1 | 2651 | 2.62 | 0.1059 |
| c_sal*oldage | 1 | 3048 | 0.26 | 0.6103 |
| c_sal*yrs65 | 1 | 2650 | 1.14 | 0.2860 |
| c_mean*c_sal*oldage | 1 | 3045 | 3.06 | 0.0804 |
| c_mean*c_sal*yrs65 | 1 | 2651 | 0.00 | 0.9850 |
| SAS revised Model 1.3b: Significant Interactions Only |
| Model Information | |
|---|---|
| Data Set | WORK.EX1 |
| Dependent Variable | lg_rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | Item, ID, ID |
| Group Effects | older, older |
| Estimation Method | ML |
| Residual Variance Method | None |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 5 |
| Columns in X | 9 |
| Columns in Z | 357 |
| Subjects | 1 |
| Max Obs Per Subject | 7803 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 7803 |
| Number of Observations Used | 7646 |
| Number of Observations Not Used | 157 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Log Like | Criterion |
| 0 | 1 | 16347.14523223 | |
| 1 | 2 | 14656.63048340 | 0.00009025 |
| 2 | 1 | 14656.60253428 | 0.00000015 |
| 3 | 1 | 14656.60248802 | 0.00000000 |
| Convergence criteria met. |
| Covariance Parameter Estimates | ||||||
|---|---|---|---|---|---|---|
| Cov Parm | Subject | Group | Estimate | Standard Error | Z Value | Pr > Z |
| UN(1,1) | Item | 0.08779 | 0.01788 | 4.91 | <.0001 | |
| UN(1,1) | ID | older 0 | 0.01083 | 0.002499 | 4.34 | <.0001 |
| UN(1,1) | ID | older 1 | 0.04318 | 0.009996 | 4.32 | <.0001 |
| Residual | ID | older 0 | 0.3230 | 0.006697 | 48.23 | <.0001 |
| Residual | ID | older 1 | 0.5016 | 0.01378 | 36.39 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 14656.6 |
| AIC (smaller is better) | 14684.6 |
| AICC (smaller is better) | 14684.7 |
| BIC (smaller is better) | 14656.6 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 4 | 1690.54 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 14656.6 | 14 | 14684.6 | 14684.7 | 14656.6 | 14656.6 | 14670.6 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.3038 | 0.04538 | 58 | 28.73 | <.0001 |
| c_mean | -0.06402 | 0.02306 | 52 | -2.78 | 0.0076 |
| c_sal | -0.1425 | 0.04092 | 52 | -3.48 | 0.0010 |
| oldage | 0.6140 | 0.07017 | 61.9 | 8.75 | <.0001 |
| yrs65 | 0.02016 | 0.005756 | 57.3 | 3.50 | 0.0009 |
| c_mean*c_sal | -0.00270 | 0.01939 | 52 | -0.14 | 0.8897 |
| c_mean*oldage | 0.03799 | 0.008612 | 4634 | 4.41 | <.0001 |
| c_sal*oldage | 0.01265 | 0.01528 | 4631 | 0.83 | 0.4075 |
| c_mean*c_sal*oldage | -0.02489 | 0.007274 | 4612 | -3.42 | 0.0006 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| c_mean | 1 | 52 | 7.71 | 0.0076 |
| c_sal | 1 | 52 | 12.13 | 0.0010 |
| oldage | 1 | 61.9 | 76.56 | <.0001 |
| yrs65 | 1 | 57.3 | 12.27 | 0.0009 |
| c_mean*c_sal | 1 | 52 | 0.02 | 0.8897 |
| c_mean*oldage | 1 | 4634 | 19.45 | <.0001 |
| c_sal*oldage | 1 | 4631 | 0.69 | 0.4075 |
| c_mean*c_sal*oldage | 1 | 4612 | 11.71 | 0.0006 |