| Variable | Variance | ||||||||
|---|---|---|---|---|---|---|---|---|---|
|
|
| 1a: Piecewise Unconditional Model - Random Early/Later Practice Slopes |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 3 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9188.48345679 | |
| 1 | 1 | 8275.37431715 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4025 | -0.3902 |
| 2 | Slope12 | 101 | -0.4025 | 1.0000 | -0.1293 |
| 3 | Slope26 | 101 | -0.3902 | -0.1293 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 284312 | 42731 | 6.65 | <.0001 |
| UN(2,1) | ID | -54270 | 18230 | -2.98 | 0.0029 |
| UN(2,2) | ID | 63954 | 13244 | 4.83 | <.0001 |
| UN(3,1) | ID | -10644 | 3791.26 | -2.81 | 0.0050 |
| UN(3,2) | ID | -1672.30 | 2097.03 | -0.80 | 0.4252 |
| UN(3,3) | ID | 2617.28 | 636.48 | 4.11 | <.0001 |
| session | ID | 17673 | 1435.84 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8275.4 |
| AIC (Smaller is Better) | 8289.4 |
| AICC (Smaller is Better) | 8289.6 |
| BIC (Smaller is Better) | 8307.7 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 913.11 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8275.4 | 7 | 8289.4 | 8289.6 | 8296.8 | 8307.7 | 8314.7 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1961.89 | 54.6805 | 100 | 35.88 | <.0001 |
| Slope12 | -163.64 | 30.2188 | 100 | -5.42 | <.0001 |
| Slope26 | -32.8932 | 6.5888 | 100 | -4.99 | <.0001 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| Slope12 | 1 | 100 | 29.33 | <.0001 |
| Slope26 | 1 | 100 | 24.92 | <.0001 |
| 1 With Variables: | nm3rt |
|---|---|
| 1 Variables: | Pred |
| Simple Statistics | |||||||
|---|---|---|---|---|---|---|---|
| Variable | N | Mean | Std Dev | Sum | Minimum | Maximum | Label |
| nm3rt | 606 | 1771 | 494.08763 | 1073045 | 917.66667 | 4159 | Number Match 3 RT |
| Pred | 606 | 1771 | 95.54686 | 1073045 | 1667 | 1962 | Predicted Mean |
| Pearson Correlation Coefficients, N = 606 Prob > |r| under H0: Rho=0 |
|||||
|---|---|---|---|---|---|
| Pred | |||||
|
|
||||
| 1b: Add Fixed Effects for Age on Intercept, Slope12, and Slope26 |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 6 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9129.00024109 | |
| 1 | 1 | 8251.03576285 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.3687 | -0.3603 |
| 2 | Slope12 | 101 | -0.3687 | 1.0000 | -0.1651 |
| 3 | Slope26 | 101 | -0.3603 | -0.1651 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 254286 | 38681 | 6.57 | <.0001 |
| UN(2,1) | ID | -46576 | 17140 | -2.72 | 0.0066 |
| UN(2,2) | ID | 62742 | 13139 | 4.78 | <.0001 |
| UN(3,1) | ID | -9251.94 | 3583.89 | -2.58 | 0.0098 |
| UN(3,2) | ID | -2106.57 | 2100.78 | -1.00 | 0.3160 |
| UN(3,3) | ID | 2593.60 | 636.25 | 4.08 | <.0001 |
| session | ID | 17673 | 1435.84 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8251.0 |
| AIC (Smaller is Better) | 8265.0 |
| AICC (Smaller is Better) | 8265.2 |
| BIC (Smaller is Better) | 8283.3 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 877.96 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8251.0 | 7 | 8265.0 | 8265.2 | 8272.4 | 8283.3 | 8290.3 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1966.86 | 51.9106 | 99 | 37.89 | <.0001 |
| Slope12 | -164.91 | 30.0311 | 99 | -5.49 | <.0001 |
| Slope26 | -33.1182 | 6.5734 | 99 | -5.04 | <.0001 |
| Age80 | 29.7804 | 8.5822 | 99 | 3.47 | 0.0008 |
| Slope12*Age80 | -7.5810 | 4.9650 | 99 | -1.53 | 0.1300 |
| Slope26*Age80 | -1.3499 | 1.0868 | 99 | -1.24 | 0.2171 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| Slope12 | 1 | 99 | 30.15 | <.0001 |
| Slope26 | 1 | 99 | 25.38 | <.0001 |
| Age80 | 1 | 99 | 12.04 | 0.0008 |
| Slope12*Age80 | 1 | 99 | 2.33 | 0.1300 |
| Slope26*Age80 | 1 | 99 | 1.54 | 0.2171 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Slope 1-2 for Age 80 | -164.91 | 30.0311 | 99 | -5.49 | <.0001 |
| Slope 1-2 for Age 90 | -240.72 | 58.7292 | 99 | -4.10 | <.0001 |
| Slope 2-6 for Age 80 | -33.1182 | 6.5734 | 99 | -5.04 | <.0001 |
| Slope 2-6 for Age 90 | -46.6173 | 12.8551 | 99 | -3.63 | 0.0005 |
| Age Effect at Session 1 | 29.7804 | 8.5822 | 99 | 3.47 | 0.0008 |
| Age Effect at Session 2 | 22.1993 | 7.9689 | 99 | 2.79 | 0.0064 |
| Age Effect at Session 3 | 20.8494 | 7.5245 | 99 | 2.77 | 0.0067 |
| Age Effect at Session 4 | 19.4995 | 7.2176 | 99 | 2.70 | 0.0081 |
| Age Effect at Session 5 | 18.1496 | 7.0663 | 99 | 2.57 | 0.0117 |
| Age Effect at Session 6 | 16.7997 | 7.0805 | 99 | 2.37 | 0.0196 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 99 | 12.23 | 4.08 | 0.0066 | 0.0089 |
| Total R2 (% Reduction) for PredPUnc vs. PredPAge |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredPUnc | 0.19338 | 0.03740 | . |
| PredPAge | 0.32795 | 0.10755 | 0.070156 |
| PsuedoR2 (% Reduction) for CovPUnc vs. CovPAge |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovPUnc | UN(1,1) | ID | 284312 | 42731 | 6.65 | <.0001 | . |
| CovPUnc | UN(2,2) | ID | 63954 | 13244 | 4.83 | <.0001 | . |
| CovPUnc | UN(3,3) | ID | 2617.28 | 636.48 | 4.11 | <.0001 | . |
| CovPUnc | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | . |
| CovPAge | UN(1,1) | ID | 254286 | 38681 | 6.57 | <.0001 | 0.10561 |
| CovPAge | UN(2,2) | ID | 62742 | 13139 | 4.78 | <.0001 | 0.01895 |
| CovPAge | UN(3,3) | ID | 2593.60 | 636.25 | 4.08 | <.0001 | 0.00905 |
| CovPAge | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | 0.00000 |
| 1c: Keep Age, Add Fixed Effects for Reasoning on Intercept, Slope12, and Slope26 |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 9 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9076.17781375 | |
| 1 | 1 | 8226.46708705 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4026 | -0.3108 |
| 2 | Slope12 | 101 | -0.4026 | 1.0000 | -0.1494 |
| 3 | Slope26 | 101 | -0.3108 | -0.1494 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 242192 | 37151 | 6.52 | <.0001 |
| UN(2,1) | ID | -49817 | 17064 | -2.92 | 0.0035 |
| UN(2,2) | ID | 63222 | 13272 | 4.76 | <.0001 |
| UN(3,1) | ID | -7510.98 | 3414.18 | -2.20 | 0.0278 |
| UN(3,2) | ID | -1845.11 | 2068.67 | -0.89 | 0.3724 |
| UN(3,3) | ID | 2411.55 | 614.00 | 3.93 | <.0001 |
| session | ID | 17673 | 1435.84 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8226.5 |
| AIC (Smaller is Better) | 8240.5 |
| AICC (Smaller is Better) | 8240.7 |
| BIC (Smaller is Better) | 8258.8 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 849.71 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8226.5 | 7 | 8240.5 | 8240.7 | 8247.9 | 8258.8 | 8265.8 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1982.64 | 51.1793 | 98 | 38.74 | <.0001 |
| Slope12 | -162.16 | 30.3688 | 98 | -5.34 | <.0001 |
| Slope26 | -35.0669 | 6.4901 | 98 | -5.40 | <.0001 |
| Age80 | 23.0041 | 8.8639 | 98 | 2.60 | 0.0109 |
| Slope12*Age80 | -8.7589 | 5.2597 | 98 | -1.67 | 0.0990 |
| Slope26*Age80 | -0.5135 | 1.1240 | 98 | -0.46 | 0.6488 |
| Reas22 | -27.1200 | 11.4528 | 98 | -2.37 | 0.0198 |
| Slope12*Reas22 | -4.7141 | 6.7959 | 98 | -0.69 | 0.4895 |
| Slope26*Reas22 | 3.3476 | 1.4523 | 98 | 2.30 | 0.0233 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| Slope12 | 1 | 98 | 28.51 | <.0001 |
| Slope26 | 1 | 98 | 29.19 | <.0001 |
| Age80 | 1 | 98 | 6.74 | 0.0109 |
| Slope12*Age80 | 1 | 98 | 2.77 | 0.0990 |
| Slope26*Age80 | 1 | 98 | 0.21 | 0.6488 |
| Reas22 | 1 | 98 | 5.61 | 0.0198 |
| Slope12*Reas22 | 1 | 98 | 0.48 | 0.4895 |
| Slope26*Reas22 | 1 | 98 | 5.31 | 0.0233 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Reasoning Effect at Session 1 | -27.1200 | 11.4528 | 98 | -2.37 | 0.0198 |
| Reasoning Effect at Session 2 | -31.8340 | 10.4508 | 98 | -3.05 | 0.0030 |
| Reasoning Effect at Session 3 | -28.4864 | 9.9154 | 98 | -2.87 | 0.0050 |
| Reasoning Effect at Session 4 | -25.1388 | 9.5724 | 98 | -2.63 | 0.0100 |
| Reasoning Effect at Session 5 | -21.7912 | 9.4427 | 98 | -2.31 | 0.0231 |
| Reasoning Effect at Session 6 | -18.4436 | 9.5350 | 98 | -1.93 | 0.0560 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 98 | 7.10 | 2.37 | 0.0688 | 0.0756 |
| DF=3 Wald Test for Effects of Reasoning | 3 | 98 | 10.51 | 3.50 | 0.0147 | 0.0183 |
| Total R2 (% Reduction) for PredPAge vs. PredPReas |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredPAge | 0.32795 | 0.10755 | . |
| PredPReas | 0.40163 | 0.16131 | 0.053755 |
| PsuedoR2 (% Reduction) for CovPAge vs. CovPReas |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovPAge | UN(1,1) | ID | 254286 | 38681 | 6.57 | <.0001 | . |
| CovPAge | UN(2,2) | ID | 62742 | 13139 | 4.78 | <.0001 | . |
| CovPAge | UN(3,3) | ID | 2593.60 | 636.25 | 4.08 | <.0001 | . |
| CovPAge | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | . |
| CovPReas | UN(1,1) | ID | 242192 | 37151 | 6.52 | <.0001 | 0.047560 |
| CovPReas | UN(2,2) | ID | 63222 | 13272 | 4.76 | <.0001 | -0.007643 |
| CovPReas | UN(3,3) | ID | 2411.55 | 614.00 | 3.93 | <.0001 | 0.070193 |
| CovPReas | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | -0.000000 |
| 1d: Keep Age & Reasoning, Add Effects of Education Group on Intercept, Slope12, and Slope26 |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 18 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9007.41365628 | |
| 1 | 1 | 8164.20937127 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4173 | -0.3069 |
| 2 | Slope12 | 101 | -0.4173 | 1.0000 | -0.1461 |
| 3 | Slope26 | 101 | -0.3069 | -0.1461 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 246920 | 38218 | 6.46 | <.0001 |
| UN(2,1) | ID | -52254 | 17491 | -2.99 | 0.0028 |
| UN(2,2) | ID | 63495 | 13444 | 4.72 | <.0001 |
| UN(3,1) | ID | -7543.48 | 3493.64 | -2.16 | 0.0308 |
| UN(3,2) | ID | -1820.21 | 2099.75 | -0.87 | 0.3860 |
| UN(3,3) | ID | 2446.05 | 624.87 | 3.91 | <.0001 |
| session | ID | 17673 | 1435.84 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8164.2 |
| AIC (Smaller is Better) | 8178.2 |
| AICC (Smaller is Better) | 8178.4 |
| BIC (Smaller is Better) | 8196.5 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 843.20 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8164.2 | 7 | 8178.2 | 8178.4 | 8185.6 | 8196.5 | 8203.5 |
| Solution for Fixed Effects | ||||||
|---|---|---|---|---|---|---|
| Effect | EducGrp | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1978.15 | 105.83 | 96 | 18.69 | <.0001 | |
| Slope12 | -153.14 | 62.3250 | 96 | -2.46 | 0.0158 | |
| Slope26 | -24.6403 | 13.3543 | 96 | -1.85 | 0.0681 | |
| Age80 | 22.9367 | 8.9490 | 96 | 2.56 | 0.0119 | |
| Slope12*Age80 | -8.9054 | 5.2704 | 96 | -1.69 | 0.0943 | |
| Slope26*Age80 | -0.5289 | 1.1293 | 96 | -0.47 | 0.6406 | |
| Reas22 | -28.5673 | 11.9710 | 96 | -2.39 | 0.0190 | |
| Slope12*Reas22 | -7.0891 | 7.0501 | 96 | -1.01 | 0.3172 | |
| Slope26*Reas22 | 3.4883 | 1.5106 | 96 | 2.31 | 0.0231 | |
| EducGrp | 1 | -41.9718 | 157.35 | 96 | -0.27 | 0.7902 |
| EducGrp | 2 | 25.4470 | 125.54 | 96 | 0.20 | 0.8398 |
| EducGrp | 3 | 0 | . | . | . | . |
| Slope12*EducGrp | 1 | -85.9455 | 92.6714 | 96 | -0.93 | 0.3560 |
| Slope12*EducGrp | 2 | 18.5834 | 73.9371 | 96 | 0.25 | 0.8021 |
| Slope12*EducGrp | 3 | 0 | . | . | . | . |
| Slope26*EducGrp | 1 | -6.3237 | 19.8566 | 96 | -0.32 | 0.7508 |
| Slope26*EducGrp | 2 | -16.5965 | 15.8424 | 96 | -1.05 | 0.2975 |
| Slope26*EducGrp | 3 | 0 | . | . | . | . |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| Slope12 | 1 | 96 | 28.16 | <.0001 |
| Slope26 | 1 | 96 | 20.73 | <.0001 |
| Age80 | 1 | 96 | 6.57 | 0.0119 |
| Slope12*Age80 | 1 | 96 | 2.86 | 0.0943 |
| Slope26*Age80 | 1 | 96 | 0.22 | 0.6406 |
| Reas22 | 1 | 96 | 5.69 | 0.0190 |
| Slope12*Reas22 | 1 | 96 | 1.01 | 0.3172 |
| Slope26*Reas22 | 1 | 96 | 5.33 | 0.0231 |
| EducGrp | 2 | 96 | 0.12 | 0.8831 |
| Slope12*EducGrp | 2 | 96 | 0.85 | 0.4289 |
| Slope26*EducGrp | 2 | 96 | 0.60 | 0.5516 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| L vs. H Educ for Intercept | 41.9718 | 157.35 | 96 | 0.27 | 0.7902 |
| M vs. H Educ for Intercept | -25.4470 | 125.54 | 96 | -0.20 | 0.8398 |
| L vs. M Educ for Intercept | 67.4187 | 136.36 | 96 | 0.49 | 0.6221 |
| L vs. H Educ for Slope12 | 85.9455 | 92.6714 | 96 | 0.93 | 0.3560 |
| M vs. H Educ for Slope12 | -18.5834 | 73.9371 | 96 | -0.25 | 0.8021 |
| L vs. M Educ for Slope12 | 104.53 | 80.3066 | 96 | 1.30 | 0.1962 |
| L vs. H Educ for Slope26 | 6.3237 | 19.8566 | 96 | 0.32 | 0.7508 |
| M vs. H Educ for Slope26 | 16.5965 | 15.8424 | 96 | 1.05 | 0.2975 |
| L vs. M Educ for Slope26 | -10.2728 | 17.2072 | 96 | -0.60 | 0.5519 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 96 | 6.96 | 2.32 | 0.0732 | 0.0802 |
| DF=3 Wald Test for Effects of Reasoning | 3 | 96 | 11.92 | 3.97 | 0.0077 | 0.0103 |
| DF=6 Wald Test for Effects of Education | 6 | 96 | 4.38 | 0.73 | 0.6252 | 0.6264 |
| Least Squares Means | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Effect | EducGrp | Slope12 | Slope26 | Age80 | Reas22 | Estimate | Standard Error | DF | t Value | Pr > |t| |
| EducGrp | 1 | 0.00 | 0.00 | 0.00 | 0.00 | 1936.18 | 114.13 | 96 | 16.97 | <.0001 |
| EducGrp | 2 | 0.00 | 0.00 | 0.00 | 0.00 | 2003.60 | 70.3593 | 96 | 28.48 | <.0001 |
| EducGrp | 3 | 0.00 | 0.00 | 0.00 | 0.00 | 1978.15 | 105.83 | 96 | 18.69 | <.0001 |
| EducGrp | 1 | 1.00 | 4.00 | 0.00 | 0.00 | 1573.24 | 94.3228 | 96 | 16.68 | <.0001 |
| EducGrp | 2 | 1.00 | 4.00 | 0.00 | 0.00 | 1704.10 | 58.1509 | 96 | 29.30 | <.0001 |
| EducGrp | 3 | 1.00 | 4.00 | 0.00 | 0.00 | 1726.45 | 87.4643 | 96 | 19.74 | <.0001 |
| Differences of Least Squares Means | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Effect | EducGrp | _EducGrp | Slope12 | Slope26 | Age80 | Reas22 | Estimate | Standard Error | DF | t Value | Pr > |t| |
| EducGrp | 1 | 2 | 0.00 | 0.00 | 0.00 | 0.00 | -67.4187 | 136.36 | 96 | -0.49 | 0.6221 |
| EducGrp | 1 | 3 | 0.00 | 0.00 | 0.00 | 0.00 | -41.9718 | 157.35 | 96 | -0.27 | 0.7902 |
| EducGrp | 2 | 3 | 0.00 | 0.00 | 0.00 | 0.00 | 25.4470 | 125.54 | 96 | 0.20 | 0.8398 |
| EducGrp | 1 | 2 | 1.00 | 4.00 | 0.00 | 0.00 | -130.86 | 112.70 | 96 | -1.16 | 0.2485 |
| EducGrp | 1 | 3 | 1.00 | 4.00 | 0.00 | 0.00 | -153.21 | 130.05 | 96 | -1.18 | 0.2417 |
| EducGrp | 2 | 3 | 1.00 | 4.00 | 0.00 | 0.00 | -22.3558 | 103.76 | 96 | -0.22 | 0.8299 |
| Total R2 (% Reduction) for PredPReas vs. PredPEduc |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredPReas | 0.40163 | 0.16131 | . |
| PredPEduc | 0.41669 | 0.17363 | 0.012322 |
| PsuedoR2 (% Reduction) for CovPReas vs. CovPEduc |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovPReas | UN(1,1) | ID | 242192 | 37151 | 6.52 | <.0001 | . |
| CovPReas | UN(2,2) | ID | 63222 | 13272 | 4.76 | <.0001 | . |
| CovPReas | UN(3,3) | ID | 2411.55 | 614.00 | 3.93 | <.0001 | . |
| CovPReas | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | . |
| CovPEduc | UN(1,1) | ID | 246920 | 38218 | 6.46 | <.0001 | -0.019521 |
| CovPEduc | UN(2,2) | ID | 63495 | 13444 | 4.72 | <.0001 | -0.004322 |
| CovPEduc | UN(3,3) | ID | 2446.05 | 624.87 | 3.91 | <.0001 | -0.014309 |
| CovPEduc | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | 0.000000 |
| 1e: Drop EducGrp, Add Fixed Effects for Age*Reasoning on Intercept, Slope12, and Slope26 |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 12 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9070.73631363 | |
| 1 | 1 | 8220.92912545 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4001 | -0.3074 |
| 2 | Slope12 | 101 | -0.4001 | 1.0000 | -0.1611 |
| 3 | Slope26 | 101 | -0.3074 | -0.1611 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 244192 | 37629 | 6.49 | <.0001 |
| UN(2,1) | ID | -49617 | 17179 | -2.89 | 0.0039 |
| UN(2,2) | ID | 62984 | 13304 | 4.73 | <.0001 |
| UN(3,1) | ID | -7513.67 | 3457.96 | -2.17 | 0.0298 |
| UN(3,2) | ID | -1999.16 | 2088.67 | -0.96 | 0.3385 |
| UN(3,3) | ID | 2446.40 | 621.86 | 3.93 | <.0001 |
| session | ID | 17673 | 1435.84 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8220.9 |
| AIC (Smaller is Better) | 8234.9 |
| AICC (Smaller is Better) | 8235.1 |
| BIC (Smaller is Better) | 8253.2 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 849.81 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8220.9 | 7 | 8234.9 | 8235.1 | 8242.3 | 8253.2 | 8260.2 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1974.57 | 53.8381 | 97 | 36.68 | <.0001 |
| Slope12 | -151.52 | 31.7828 | 97 | -4.77 | <.0001 |
| Slope26 | -34.1783 | 6.8294 | 97 | -5.00 | <.0001 |
| Age80 | 22.7598 | 8.9112 | 97 | 2.55 | 0.0122 |
| Slope12*Age80 | -8.4366 | 5.2607 | 97 | -1.60 | 0.1120 |
| Slope26*Age80 | -0.4866 | 1.1304 | 97 | -0.43 | 0.6678 |
| Reas22 | -28.0448 | 11.6437 | 97 | -2.41 | 0.0179 |
| Slope12*Reas22 | -3.4941 | 6.8738 | 97 | -0.51 | 0.6124 |
| Slope26*Reas22 | 3.4494 | 1.4770 | 97 | 2.34 | 0.0216 |
| Age80*Reas22 | -0.9317 | 1.8579 | 97 | -0.50 | 0.6172 |
| Slope12*Age80*Reas22 | 1.2290 | 1.0968 | 97 | 1.12 | 0.2652 |
| Slope26*Age80*Reas22 | 0.1026 | 0.2357 | 97 | 0.44 | 0.6644 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| Slope12 | 1 | 97 | 22.73 | <.0001 |
| Slope26 | 1 | 97 | 25.05 | <.0001 |
| Age80 | 1 | 97 | 6.52 | 0.0122 |
| Slope12*Age80 | 1 | 97 | 2.57 | 0.1120 |
| Slope26*Age80 | 1 | 97 | 0.19 | 0.6678 |
| Reas22 | 1 | 97 | 5.80 | 0.0179 |
| Slope12*Reas22 | 1 | 97 | 0.26 | 0.6124 |
| Slope26*Reas22 | 1 | 97 | 5.45 | 0.0216 |
| Age80*Reas22 | 1 | 97 | 0.25 | 0.6172 |
| Slope12*Age80*Reas22 | 1 | 97 | 1.26 | 0.2652 |
| Slope26*Age80*Reas22 | 1 | 97 | 0.19 | 0.6644 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Age Effect on Intercept, Reas 17 | 27.4184 | 12.5162 | 97 | 2.19 | 0.0309 |
| Age Effect on Intercept, Reas 22 | 22.7598 | 8.9112 | 97 | 2.55 | 0.0122 |
| Age Effect on Intercept, Reas 27 | 18.1011 | 13.2197 | 97 | 1.37 | 0.1741 |
| Age Effect on Slope12, Reas 17 | -14.5818 | 7.3888 | 97 | -1.97 | 0.0513 |
| Age Effect on Slope12, Reas 22 | -8.4366 | 5.2607 | 97 | -1.60 | 0.1120 |
| Age Effect on Slope12, Reas 27 | -2.2914 | 7.8042 | 97 | -0.29 | 0.7697 |
| Age Effect on Slope26, Reas 17 | -0.9994 | 1.5877 | 97 | -0.63 | 0.5305 |
| Age Effect on Slope26, Reas 22 | -0.4866 | 1.1304 | 97 | -0.43 | 0.6678 |
| Age Effect on Slope26, Reas 27 | 0.02627 | 1.6769 | 97 | 0.02 | 0.9875 |
| Reasoning Effect on Intercept, Age 70 | -18.7275 | 20.3038 | 97 | -0.92 | 0.3586 |
| Reasoning Effect on Intercept, Age 80 | -28.0448 | 11.6437 | 97 | -2.41 | 0.0179 |
| Reasoning Effect on Intercept, Age 90 | -37.3622 | 23.4371 | 97 | -1.59 | 0.1142 |
| Reasoning Effect on Slope12, Age 70 | -15.7845 | 11.9862 | 97 | -1.32 | 0.1910 |
| Reasoning Effect on Slope12, Age 80 | -3.4941 | 6.8738 | 97 | -0.51 | 0.6124 |
| Reasoning Effect on Slope12, Age 90 | 8.7963 | 13.8359 | 97 | 0.64 | 0.5264 |
| Reasoning Effect on Slope26, Age 70 | 2.4237 | 2.5756 | 97 | 0.94 | 0.3490 |
| Reasoning Effect on Slope26, Age 80 | 3.4494 | 1.4770 | 97 | 2.34 | 0.0216 |
| Reasoning Effect on Slope26, Age 90 | 4.4751 | 2.9730 | 97 | 1.51 | 0.1355 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age*Reasoning | 3 | 97 | 1.98 | 0.66 | 0.5771 | 0.5791 |
| Total R2 (% Reduction) for PredPReas vs. PredPAgeReas |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredPReas | 0.40163 | 0.16131 | . |
| PredPAgeReas | 0.40306 | 0.16246 | .001148258 |
| PsuedoR2 (% Reduction) for CovPReas vs. CovPAgeReas |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovPReas | UN(1,1) | ID | 242192 | 37151 | 6.52 | <.0001 | . |
| CovPReas | UN(2,2) | ID | 63222 | 13272 | 4.76 | <.0001 | . |
| CovPReas | UN(3,3) | ID | 2411.55 | 614.00 | 3.93 | <.0001 | . |
| CovPReas | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | . |
| CovPAgeReas | UN(1,1) | ID | 244192 | 37629 | 6.49 | <.0001 | -0.008258 |
| CovPAgeReas | UN(2,2) | ID | 62984 | 13304 | 4.73 | <.0001 | 0.003765 |
| CovPAgeReas | UN(3,3) | ID | 2446.40 | 621.86 | 3.93 | <.0001 | -0.014453 |
| CovPAgeReas | session | ID | 17673 | 1435.84 | 12.31 | <.0001 | 0.000000 |
| 2a: Random Quadratic Unconditional Model |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 3 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9193.25780414 | |
| 1 | 1 | 8302.74566856 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4230 | 0.2948 |
| 2 | time1 | 101 | -0.4230 | 1.0000 | -0.9640 |
| 3 | time1*time1 | 101 | 0.2948 | -0.9640 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 276206 | 41442 | 6.66 | <.0001 |
| UN(2,1) | ID | -35734 | 11941 | -2.99 | 0.0028 |
| UN(2,2) | ID | 25840 | 5864.41 | 4.41 | <.0001 |
| UN(3,1) | ID | 3901.96 | 1949.06 | 2.00 | 0.0453 |
| UN(3,2) | ID | -3903.32 | 982.61 | -3.97 | <.0001 |
| UN(3,3) | ID | 634.47 | 172.37 | 3.68 | 0.0001 |
| session | ID | 20298 | 1649.11 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8302.7 |
| AIC (Smaller is Better) | 8316.7 |
| AICC (Smaller is Better) | 8316.9 |
| BIC (Smaller is Better) | 8335.1 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 890.51 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8302.7 | 7 | 8316.7 | 8316.9 | 8324.2 | 8335.1 | 8342.1 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1945.85 | 53.8497 | 100 | 36.13 | <.0001 |
| time1 | -120.90 | 20.0476 | 100 | -6.03 | <.0001 |
| time1*time1 | 13.8656 | 3.4154 | 100 | 4.06 | <.0001 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time1 | 1 | 100 | 36.37 | <.0001 |
| time1*time1 | 1 | 100 | 16.48 | <.0001 |
| 1 With Variables: | nm3rt |
|---|---|
| 1 Variables: | Pred |
| Simple Statistics | |||||||
|---|---|---|---|---|---|---|---|
| Variable | N | Mean | Std Dev | Sum | Minimum | Maximum | Label |
| nm3rt | 606 | 1771 | 494.08763 | 1073045 | 917.66667 | 4159 | Number Match 3 RT |
| Pred | 606 | 1771 | 94.70156 | 1073045 | 1684 | 1946 | Predicted Mean |
| Pearson Correlation Coefficients, N = 606 Prob > |r| under H0: Rho=0 |
|||||
|---|---|---|---|---|---|
| Pred | |||||
|
|
||||
| 2b: Add Fixed Effects for Age on Intercept, Linear, and Quadratic Time Slopes |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 6 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9138.19490348 | |
| 1 | 1 | 8283.15568212 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.3826 | 0.2589 |
| 2 | time1 | 101 | -0.3826 | 1.0000 | -0.9639 |
| 3 | time1*time1 | 101 | 0.2589 | -0.9639 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 247691 | 37599 | 6.59 | <.0001 |
| UN(2,1) | ID | -30154 | 11191 | -2.69 | 0.0070 |
| UN(2,2) | ID | 25083 | 5787.37 | 4.33 | <.0001 |
| UN(3,1) | ID | 3232.78 | 1847.12 | 1.75 | 0.0801 |
| UN(3,2) | ID | -3830.21 | 976.76 | -3.92 | <.0001 |
| UN(3,3) | ID | 629.58 | 172.51 | 3.65 | 0.0001 |
| session | ID | 20298 | 1649.11 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8283.2 |
| AIC (Smaller is Better) | 8297.2 |
| AICC (Smaller is Better) | 8297.3 |
| BIC (Smaller is Better) | 8315.5 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 855.04 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8283.2 | 7 | 8297.2 | 8297.3 | 8304.6 | 8315.5 | 8322.5 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1950.69 | 51.1806 | 99 | 38.11 | <.0001 |
| time1 | -121.83 | 19.8672 | 99 | -6.13 | <.0001 |
| time1*time1 | 13.9774 | 3.4096 | 99 | 4.10 | <.0001 |
| Age80 | 29.0495 | 8.4616 | 99 | 3.43 | 0.0009 |
| time1*Age80 | -5.5946 | 3.2846 | 99 | -1.70 | 0.0916 |
| time1*time1*Age80 | 0.6709 | 0.5637 | 99 | 1.19 | 0.2368 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time1 | 1 | 99 | 37.61 | <.0001 |
| time1*time1 | 1 | 99 | 16.81 | <.0001 |
| Age80 | 1 | 99 | 11.79 | 0.0009 |
| time1*Age80 | 1 | 99 | 2.90 | 0.0916 |
| time1*time1*Age80 | 1 | 99 | 1.42 | 0.2368 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Age Effect at Session 1 | 29.0495 | 8.4616 | 99 | 3.43 | 0.0009 |
| Age Effect at Session 2 | 24.1258 | 7.6862 | 99 | 3.14 | 0.0022 |
| Age Effect at Session 3 | 20.5439 | 7.5343 | 99 | 2.73 | 0.0076 |
| Age Effect at Session 4 | 18.3038 | 7.4038 | 99 | 2.47 | 0.0151 |
| Age Effect at Session 5 | 17.4056 | 7.1425 | 99 | 2.44 | 0.0166 |
| Age Effect at Session 6 | 17.8492 | 7.1254 | 99 | 2.51 | 0.0139 |
| Age*Linear Time Slope at Session 1 | -5.5946 | 3.2846 | 99 | -1.70 | 0.0916 |
| Age*Linear Time Slope at Session 2 | -4.2528 | 2.2283 | 99 | -1.91 | 0.0592 |
| Age*Linear Time Slope at Session 3 | -2.9110 | 1.2977 | 99 | -2.24 | 0.0271 |
| Age*Linear Time Slope at Session 4 | -1.5692 | 0.9720 | 99 | -1.61 | 0.1096 |
| Age*Linear Time Slope at Session 5 | -0.2273 | 1.6576 | 99 | -0.14 | 0.8912 |
| Age*Linear Time Slope at Session 6 | 1.1145 | 2.6632 | 99 | 0.42 | 0.6765 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 99 | 12.01 | 4.00 | 0.0073 | 0.0098 |
| Total R2 (% Reduction) for PredQUnc vs. PredQAge |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredQUnc | 0.19167 | 0.03674 | . |
| PredQAge | 0.32688 | 0.10685 | 0.070114 |
| PsuedoR2 (% Reduction) for CovQUnc vs. CovQAge |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovQUnc | UN(1,1) | ID | 276206 | 41442 | 6.66 | <.0001 | . |
| CovQUnc | UN(2,2) | ID | 25840 | 5864.41 | 4.41 | <.0001 | . |
| CovQUnc | UN(3,3) | ID | 634.47 | 172.37 | 3.68 | 0.0001 | . |
| CovQUnc | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | . |
| CovQAge | UN(1,1) | ID | 247691 | 37599 | 6.59 | <.0001 | 0.10324 |
| CovQAge | UN(2,2) | ID | 25083 | 5787.37 | 4.33 | <.0001 | 0.02931 |
| CovQAge | UN(3,3) | ID | 629.58 | 172.51 | 3.65 | 0.0001 | 0.00770 |
| CovQAge | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | 0.00000 |
| 2c: Keep Age, Add Fixed Effects for Reasoning on Intercept, Linear, and Quadratic Time Slopes |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 9 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9089.57995991 | |
| 1 | 1 | 8261.01548560 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4223 | 0.3257 |
| 2 | time1 | 101 | -0.4223 | 1.0000 | -0.9684 |
| 3 | time1*time1 | 101 | 0.3257 | -0.9684 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 235541 | 36056 | 6.53 | <.0001 |
| UN(2,1) | ID | -32552 | 11138 | -2.92 | 0.0035 |
| UN(2,2) | ID | 25228 | 5835.93 | 4.32 | <.0001 |
| UN(3,1) | ID | 3918.44 | 1826.88 | 2.14 | 0.0320 |
| UN(3,2) | ID | -3812.99 | 978.05 | -3.90 | <.0001 |
| UN(3,3) | ID | 614.47 | 171.25 | 3.59 | 0.0002 |
| session | ID | 20298 | 1649.11 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8261.0 |
| AIC (Smaller is Better) | 8275.0 |
| AICC (Smaller is Better) | 8275.2 |
| BIC (Smaller is Better) | 8293.3 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 828.56 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8261.0 | 7 | 8275.0 | 8275.2 | 8282.4 | 8293.3 | 8300.3 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1966.47 | 50.4203 | 98 | 39.00 | <.0001 |
| time1 | -119.74 | 20.0746 | 98 | -5.96 | <.0001 |
| time1*time1 | 13.3036 | 3.4167 | 98 | 3.89 | 0.0002 |
| Age80 | 22.2782 | 8.7324 | 98 | 2.55 | 0.0123 |
| time1*Age80 | -6.4921 | 3.4768 | 98 | -1.87 | 0.0649 |
| time1*time1*Age80 | 0.9601 | 0.5917 | 98 | 1.62 | 0.1079 |
| Reas22 | -27.1004 | 11.2829 | 98 | -2.40 | 0.0182 |
| time1*Reas22 | -3.5917 | 4.4922 | 98 | -0.80 | 0.4259 |
| time1*time1*Reas22 | 1.1575 | 0.7646 | 98 | 1.51 | 0.1333 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time1 | 1 | 98 | 35.58 | <.0001 |
| time1*time1 | 1 | 98 | 15.16 | 0.0002 |
| Age80 | 1 | 98 | 6.51 | 0.0123 |
| time1*Age80 | 1 | 98 | 3.49 | 0.0649 |
| time1*time1*Age80 | 1 | 98 | 2.63 | 0.1079 |
| Reas22 | 1 | 98 | 5.77 | 0.0182 |
| time1*Reas22 | 1 | 98 | 0.64 | 0.4259 |
| time1*time1*Reas22 | 1 | 98 | 2.29 | 0.1333 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Reasoning Effect at Session 1 | -27.1004 | 11.2829 | 98 | -2.40 | 0.0182 |
| Reasoning Effect at Session 2 | -29.5346 | 10.1156 | 98 | -2.92 | 0.0043 |
| Reasoning Effect at Session 3 | -29.6537 | 9.8944 | 98 | -3.00 | 0.0035 |
| Reasoning Effect at Session 4 | -27.4578 | 9.7730 | 98 | -2.81 | 0.0060 |
| Reasoning Effect at Session 5 | -22.9468 | 9.5224 | 98 | -2.41 | 0.0178 |
| Reasoning Effect at Session 6 | -16.1207 | 9.6403 | 98 | -1.67 | 0.0977 |
| Reasoning*Linear Time Slope at Session 1 | -3.5917 | 4.4922 | 98 | -0.80 | 0.4259 |
| Reasoning*Linear Time Slope at Session 2 | -1.2767 | 3.0547 | 98 | -0.42 | 0.6769 |
| Reasoning*Linear Time Slope at Session 3 | 1.0384 | 1.7775 | 98 | 0.58 | 0.5604 |
| Reasoning*Linear Time Slope at Session 4 | 3.3535 | 1.2900 | 98 | 2.60 | 0.0108 |
| Reasoning*Linear Time Slope at Session 5 | 5.6686 | 2.2012 | 98 | 2.58 | 0.0115 |
| Reasoning*Linear Time Slope at Session 6 | 7.9836 | 3.5642 | 98 | 2.24 | 0.0274 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 98 | 7.19 | 2.40 | 0.0660 | 0.0727 |
| DF=3 Wald Test for Effects of Reasoning | 3 | 98 | 12.88 | 4.29 | 0.0049 | 0.0068 |
| Total R2 (% Reduction) for PredQAge vs. PredQReas |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredQAge | 0.32688 | 0.10685 | . |
| PredQReas | 0.40108 | 0.16086 | 0.054011 |
| PsuedoR2 (% Reduction) for CovQAge vs. CovQReas |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovQAge | UN(1,1) | ID | 247691 | 37599 | 6.59 | <.0001 | . |
| CovQAge | UN(2,2) | ID | 25083 | 5787.37 | 4.33 | <.0001 | . |
| CovQAge | UN(3,3) | ID | 629.58 | 172.51 | 3.65 | 0.0001 | . |
| CovQAge | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | . |
| CovQReas | UN(1,1) | ID | 235541 | 36056 | 6.53 | <.0001 | 0.049052 |
| CovQReas | UN(2,2) | ID | 25228 | 5835.93 | 4.32 | <.0001 | -0.005808 |
| CovQReas | UN(3,3) | ID | 614.47 | 171.25 | 3.59 | 0.0002 | 0.024008 |
| CovQReas | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | -0.000000 |
| 2d: Remove Reasoning Effect on Quadratic Time Slope |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 8 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9092.92701329 | |
| 1 | 2 | 8264.60019032 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4234 | 0.3277 |
| 2 | time1 | 101 | -0.4234 | 1.0000 | -0.9689 |
| 3 | time1*time1 | 101 | 0.3277 | -0.9689 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 235909 | 36153 | 6.53 | <.0001 |
| UN(2,1) | ID | -32972 | 11262 | -2.93 | 0.0034 |
| UN(2,2) | ID | 25707 | 5883.65 | 4.37 | <.0001 |
| UN(3,1) | ID | 3993.04 | 1848.58 | 2.16 | 0.0308 |
| UN(3,2) | ID | -3897.93 | 985.52 | -3.96 | <.0001 |
| UN(3,3) | ID | 629.52 | 172.50 | 3.65 | 0.0001 |
| session | ID | 20298 | 1649.11 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8264.6 |
| AIC (Smaller is Better) | 8278.6 |
| AICC (Smaller is Better) | 8278.8 |
| BIC (Smaller is Better) | 8296.9 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 828.33 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8264.6 | 7 | 8278.6 | 8278.8 | 8286.0 | 8296.9 | 8303.9 |
| Solution for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1969.80 | 50.4084 | 98.1 | 39.08 | <.0001 |
| time1 | -123.54 | 20.0358 | 98.9 | -6.17 | <.0001 |
| time1*time1 | 13.9774 | 3.4095 | 99 | 4.10 | <.0001 |
| Age80 | 20.8470 | 8.6868 | 99.7 | 2.40 | 0.0183 |
| time1*Age80 | -4.8610 | 3.3252 | 100 | -1.46 | 0.1469 |
| time1*time1*Age80 | 0.6709 | 0.5637 | 99 | 1.19 | 0.2368 |
| Reas22 | -32.8281 | 10.6297 | 98 | -3.09 | 0.0026 |
| time1*Reas22 | 2.9362 | 1.2602 | 98 | 2.33 | 0.0219 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time1 | 1 | 98.9 | 38.02 | <.0001 |
| time1*time1 | 1 | 99 | 16.81 | <.0001 |
| Age80 | 1 | 99.7 | 5.76 | 0.0183 |
| time1*Age80 | 1 | 100 | 2.14 | 0.1469 |
| time1*time1*Age80 | 1 | 99 | 1.42 | 0.2368 |
| Reas22 | 1 | 98 | 9.54 | 0.0026 |
| time1*Reas22 | 1 | 98 | 5.43 | 0.0219 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Reasoning Effect at Session 1 | -32.8281 | 10.6297 | 98 | -3.09 | 0.0026 |
| Reasoning Effect at Session 2 | -29.8919 | 10.1128 | 98 | -2.96 | 0.0039 |
| Reasoning Effect at Session 3 | -26.9557 | 9.7326 | 98 | -2.77 | 0.0067 |
| Reasoning Effect at Session 4 | -24.0195 | 9.5055 | 98 | -2.53 | 0.0131 |
| Reasoning Effect at Session 5 | -21.0833 | 9.4425 | 98 | -2.23 | 0.0278 |
| Reasoning Effect at Session 6 | -18.1471 | 9.5469 | 98 | -1.90 | 0.0603 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 100 | 5.98 | 1.99 | 0.1128 | 0.1200 |
| DF=2 Wald Test for Effects of Reasoning | 2 | 98 | 10.59 | 5.29 | 0.0050 | 0.0066 |
| Total R2 (% Reduction) for PredQAge vs. PredLReas |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredQAge | 0.32688 | 0.10685 | . |
| PredLReas | 0.40008 | 0.16006 | 0.053213 |
| PsuedoR2 (% Reduction) for CovQAge vs. CovLReas |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovQAge | UN(1,1) | ID | 247691 | 37599 | 6.59 | <.0001 | . |
| CovQAge | UN(2,2) | ID | 25083 | 5787.37 | 4.33 | <.0001 | . |
| CovQAge | UN(3,3) | ID | 629.58 | 172.51 | 3.65 | 0.0001 | . |
| CovQAge | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | . |
| CovLReas | UN(1,1) | ID | 235909 | 36153 | 6.53 | <.0001 | 0.047565 |
| CovLReas | UN(2,2) | ID | 25707 | 5883.65 | 4.37 | <.0001 | -0.024908 |
| CovLReas | UN(3,3) | ID | 629.52 | 172.50 | 3.65 | 0.0001 | 0.000095 |
| CovLReas | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | -0.000000 |
| 2e: Keep Age & Reas, Add Effect of Education Group on Intercept, Linear, and Quadratic |
| Model Information | |
|---|---|
| Data Set | WORK.TRIMMED |
| Dependent Variable | nm3rt |
| Covariance Structures | Unstructured, Variance Components |
| Subject Effects | ID, ID |
| Estimation Method | REML |
| Residual Variance Method | Parameter |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Satterthwaite |
| Dimensions | |
|---|---|
| Covariance Parameters | 7 |
| Columns in X | 17 |
| Columns in Z per Subject | 3 |
| Subjects | 101 |
| Max Obs per Subject | 6 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 606 |
| Number of Observations Used | 606 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 9032.94560623 | |
| 1 | 2 | 8211.36197595 | 0.00000000 |
| Convergence criteria met. |
| Estimated G Correlation Matrix | |||||
|---|---|---|---|---|---|
| Row | Effect | Participant ID | Col1 | Col2 | Col3 |
| 1 | Intercept | 101 | 1.0000 | -0.4475 | 0.3553 |
| 2 | time1 | 101 | -0.4475 | 1.0000 | -0.9684 |
| 3 | time1*time1 | 101 | 0.3553 | -0.9684 | 1.0000 |
| Covariance Parameter Estimates | |||||
|---|---|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
| UN(1,1) | ID | 241027 | 37339 | 6.46 | <.0001 |
| UN(2,1) | ID | -35271 | 11645 | -3.03 | 0.0025 |
| UN(2,2) | ID | 25772 | 5956.96 | 4.33 | <.0001 |
| UN(3,1) | ID | 4371.57 | 1907.59 | 2.29 | 0.0219 |
| UN(3,2) | ID | -3896.53 | 995.30 | -3.91 | <.0001 |
| UN(3,3) | ID | 628.15 | 173.93 | 3.61 | 0.0002 |
| session | ID | 20298 | 1649.11 | 12.31 | <.0001 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 8211.4 |
| AIC (Smaller is Better) | 8225.4 |
| AICC (Smaller is Better) | 8225.6 |
| BIC (Smaller is Better) | 8243.7 |
| Null Model Likelihood Ratio Test | ||
|---|---|---|
| DF | Chi-Square | Pr > ChiSq |
| 6 | 821.58 | <.0001 |
| Information Criteria | ||||||
|---|---|---|---|---|---|---|
| Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
| 8211.4 | 7 | 8225.4 | 8225.6 | 8232.8 | 8243.7 | 8250.7 |
| Solution for Fixed Effects | ||||||
|---|---|---|---|---|---|---|
| Effect | EducGrp | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1961.89 | 104.34 | 95.7 | 18.80 | <.0001 | |
| time1 | -106.50 | 41.1184 | 96.7 | -2.59 | 0.0111 | |
| time1*time1 | 12.4797 | 6.9879 | 97 | 1.79 | 0.0772 | |
| Age80 | 20.2894 | 8.7750 | 97.5 | 2.31 | 0.0229 | |
| time1*Age80 | -4.5759 | 3.3351 | 98 | -1.37 | 0.1732 | |
| time1*time1*Age80 | 0.6177 | 0.5646 | 97 | 1.09 | 0.2767 | |
| Reas22 | -36.6221 | 11.0407 | 96 | -3.32 | 0.0013 | |
| time1*Reas22 | 2.9786 | 1.3130 | 96.1 | 2.27 | 0.0255 | |
| EducGrp | 1 | -51.3792 | 154.85 | 96.3 | -0.33 | 0.7408 |
| EducGrp | 2 | 37.6426 | 123.90 | 95.4 | 0.30 | 0.7619 |
| EducGrp | 3 | 0 | . | . | . | . |
| time1*EducGrp | 1 | -70.2451 | 60.3032 | 97.1 | -1.16 | 0.2469 |
| time1*EducGrp | 2 | -4.3577 | 49.1299 | 96.5 | -0.09 | 0.9295 |
| time1*EducGrp | 3 | 0 | . | . | . | . |
| time1*time1*EducGrp | 1 | 11.0653 | 10.2358 | 97 | 1.08 | 0.2824 |
| time1*time1*EducGrp | 2 | -1.4641 | 8.3545 | 97 | -0.18 | 0.8612 |
| time1*time1*EducGrp | 3 | 0 | . | . | . | . |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time1 | 1 | 96.5 | 35.77 | <.0001 |
| time1*time1 | 1 | 97 | 17.62 | <.0001 |
| Age80 | 1 | 97.5 | 5.35 | 0.0229 |
| time1*Age80 | 1 | 98 | 1.88 | 0.1732 |
| time1*time1*Age80 | 1 | 97 | 1.20 | 0.2767 |
| Reas22 | 1 | 96 | 11.00 | 0.0013 |
| time1*Reas22 | 1 | 96.1 | 5.15 | 0.0255 |
| EducGrp | 2 | 96.1 | 0.23 | 0.7965 |
| time1*EducGrp | 2 | 97 | 0.92 | 0.4012 |
| time1*time1*EducGrp | 2 | 97 | 1.05 | 0.3545 |
| Estimates | |||||
|---|---|---|---|---|---|
| Label | Estimate | Standard Error | DF | t Value | Pr > |t| |
| L vs. H Educ for Intercept | 51.3792 | 154.85 | 96.3 | 0.33 | 0.7408 |
| M vs. H Educ for Intercept | -37.6426 | 123.90 | 95.4 | -0.30 | 0.7619 |
| L vs. M Educ for Intercept | 89.0218 | 134.02 | 96.8 | 0.66 | 0.5081 |
| L vs. H Educ for Linear Time | 70.2451 | 60.3032 | 97.1 | 1.16 | 0.2469 |
| M vs. H Educ for Linear Time | 4.3577 | 49.1299 | 96.5 | 0.09 | 0.9295 |
| L vs. M Educ for Linear Time | 65.8874 | 51.7661 | 97.4 | 1.27 | 0.2061 |
| L vs. H Educ for Quadratic Time | -11.0653 | 10.2358 | 97 | -1.08 | 0.2824 |
| M vs. H Educ for Quadratic Time | 1.4641 | 8.3545 | 97 | 0.18 | 0.8612 |
| L vs. M Educ for Quadratic Time | -12.5294 | 8.7793 | 97 | -1.43 | 0.1567 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| DF=3 Wald Test for Effects of Age | 3 | 98.1 | 5.49 | 1.83 | 0.1395 | 0.1469 |
| DF=2 Wald Test for Effects of Reasoning | 2 | 96 | 11.70 | 5.85 | 0.0029 | 0.0040 |
| DF=6 Wald Test for Effects of Education | 6 | 96.4 | 4.59 | 0.76 | 0.5976 | 0.5994 |
| Least Squares Means | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Effect | EducGrp | time1 | Age80 | Reas22 | Estimate | Standard Error | DF | t Value | Pr > |t| |
| EducGrp | 1 | 0.00 | 0.00 | 0.00 | 1910.51 | 112.41 | 96.1 | 17.00 | <.0001 |
| EducGrp | 2 | 0.00 | 0.00 | 0.00 | 1999.53 | 69.2506 | 96.3 | 28.87 | <.0001 |
| EducGrp | 3 | 0.00 | 0.00 | 0.00 | 1961.89 | 104.34 | 95.7 | 18.80 | <.0001 |
| EducGrp | 1 | 5.00 | 0.00 | 0.00 | 1615.41 | 95.7317 | 96 | 16.87 | <.0001 |
| EducGrp | 2 | 5.00 | 0.00 | 0.00 | 1720.63 | 59.0105 | 96.1 | 29.16 | <.0001 |
| EducGrp | 3 | 5.00 | 0.00 | 0.00 | 1741.38 | 88.7887 | 95.9 | 19.61 | <.0001 |
| Differences of Least Squares Means | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Effect | EducGrp | _EducGrp | time1 | Age80 | Reas22 | Estimate | Standard Error | DF | t Value | Pr > |t| |
| EducGrp | 1 | 2 | 0.00 | 0.00 | 0.00 | -89.0218 | 134.02 | 96.8 | -0.66 | 0.5081 |
| EducGrp | 1 | 3 | 0.00 | 0.00 | 0.00 | -51.3792 | 154.85 | 96.3 | -0.33 | 0.7408 |
| EducGrp | 2 | 3 | 0.00 | 0.00 | 0.00 | 37.6426 | 123.90 | 95.4 | 0.30 | 0.7619 |
| EducGrp | 1 | 2 | 5.00 | 0.00 | 0.00 | -105.22 | 114.33 | 96.2 | -0.92 | 0.3597 |
| EducGrp | 1 | 3 | 5.00 | 0.00 | 0.00 | -125.97 | 131.97 | 96.1 | -0.95 | 0.3422 |
| EducGrp | 2 | 3 | 5.00 | 0.00 | 0.00 | -20.7486 | 105.35 | 95.9 | -0.20 | 0.8443 |
| Total R2 (% Reduction) for PredLReas vs. PredQEduc |
| Name | PredCorr | TotalR2 | TotalR2Diff |
|---|---|---|---|
| PredLReas | 0.40008 | 0.16006 | . |
| PredQEduc | 0.41510 | 0.17231 | 0.012242 |
| PsuedoR2 (% Reduction) for CovLReas vs. CovQEduc |
| Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
|---|---|---|---|---|---|---|---|
| CovLReas | UN(1,1) | ID | 235909 | 36153 | 6.53 | <.0001 | . |
| CovLReas | UN(2,2) | ID | 25707 | 5883.65 | 4.37 | <.0001 | . |
| CovLReas | UN(3,3) | ID | 629.52 | 172.50 | 3.65 | 0.0001 | . |
| CovLReas | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | . |
| CovQEduc | UN(1,1) | ID | 241027 | 37339 | 6.46 | <.0001 | -0.021693 |
| CovQEduc | UN(2,2) | ID | 25772 | 5956.96 | 4.33 | <.0001 | -0.002519 |
| CovQEduc | UN(3,3) | ID | 628.15 | 173.93 | 3.61 | 0.0002 | 0.002185 |
| CovQEduc | session | ID | 20298 | 1649.11 | 12.31 | <.0001 | -0.000000 |