| 1. AUC over 3 Visits--Treatment vs Control |
| AUC between treatment and control at visit 3 |
| Model Information | |
|---|---|
| Data Set | WORK.TEMP |
| Distribution | Normal |
| Link Function | Identity |
| Dependent Variable | auc |
| Number of Observations Read | 69 |
|---|---|
| Number of Observations Used | 50 |
| Missing Values | 19 |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| visit | 3 | 1 2 3 |
| txgroup | 2 | Treatment Control |
| ConCat | 3 | 1 2 3 |
| ID | 22 | 1010 1011 1012 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1034 |
| Parameter Information | ||||
|---|---|---|---|---|
| Parameter | Effect | visit | txgroup | ConCat |
| Prm1 | Intercept | |||
| Prm2 | visit | 1 | ||
| Prm3 | visit | 2 | ||
| Prm4 | visit | 3 | ||
| Prm5 | txgroup | Treatment | ||
| Prm6 | txgroup | Control | ||
| Prm7 | covCon1 | |||
| Prm8 | covcon2 | |||
| Prm9 | ConCat | 1 | ||
| Prm10 | ConCat | 2 | ||
| Prm11 | ConCat | 3 | ||
| Prm12 | visit*txgroup | 1 | Treatment | |
| Prm13 | visit*txgroup | 1 | Control | |
| Prm14 | visit*txgroup | 2 | Treatment | |
| Prm15 | visit*txgroup | 2 | Control | |
| Prm16 | visit*txgroup | 3 | Treatment | |
| Prm17 | visit*txgroup | 3 | Control | |
| Algorithm converged. |
| GEE Model Information | |
|---|---|
| Correlation Structure | AR(1) |
| Subject Effect | ID (24 levels) |
| Number of Clusters | 24 |
| Clusters With Missing Values | 11 |
| Correlation Matrix Dimension | 3 |
| Maximum Cluster Size | 3 |
| Minimum Cluster Size | 0 |
| Covariance Matrix (Model-Based) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Prm1 | Prm2 | Prm3 | Prm5 | Prm7 | Prm8 | Prm9 | Prm10 | Prm12 | Prm14 | |
| Prm1 | 46997.89 | -24769.57 | -12007.06 | 249.27 | -522.60 | -1323.19 | -1969.90 | -2542.52 | -726.48 | 218.92 |
| Prm2 | -24769.57 | 15312.33 | 7251.68 | 318.85 | -181.80 | 723.00 | 1061.98 | 1062.14 | -1433.20 | -728.01 |
| Prm3 | -12007.06 | 7251.68 | 4790.87 | 570.19 | -102.63 | 338.60 | 543.96 | 608.90 | -770.16 | -1765.56 |
| Prm5 | 249.27 | 318.85 | 570.19 | 3145.68 | 42.31978 | -54.10475 | -424.78 | 131.91 | -2968.05 | -2227.17 |
| Prm7 | -522.60 | -181.80 | -102.63 | 42.31978 | 356.33 | -13.13656 | -200.56 | -6.61214 | -31.85455 | -11.76401 |
| Prm8 | -1323.19 | 723.00 | 338.60 | -54.10475 | -13.13656 | 40.99033 | 58.14568 | 58.52745 | 62.86328 | 31.75637 |
| Prm9 | -1969.90 | 1061.98 | 543.96 | -424.78 | -200.56 | 58.14568 | 2466.45 | 672.14 | 598.61 | -258.95 |
| Prm10 | -2542.52 | 1062.14 | 608.90 | 131.91 | -6.61214 | 58.52745 | 672.14 | 1307.87 | -61.85586 | -411.36 |
| Prm12 | -726.48 | -1433.20 | -770.16 | -2968.05 | -31.85455 | 62.86328 | 598.61 | -61.85586 | 5942.19 | 2741.18 |
| Prm14 | 218.92 | -728.01 | -1765.56 | -2227.17 | -11.76401 | 31.75637 | -258.95 | -411.36 | 2741.18 | 4411.43 |
| Covariance Matrix (Empirical) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Prm1 | Prm2 | Prm3 | Prm5 | Prm7 | Prm8 | Prm9 | Prm10 | Prm12 | Prm14 | |
| Prm1 | 46384.54 | -28797.47 | -13380.02 | 785.06 | -185.91 | -1377.18 | -706.23 | -3056.78 | 940.44 | 1547.01 |
| Prm2 | -28797.47 | 19755.45 | 9527.96 | 107.37 | -515.77 | 895.33 | 959.14 | 1845.91 | -2504.37 | -2277.87 |
| Prm3 | -13380.02 | 9527.96 | 5842.69 | 464.86 | -273.94 | 414.46 | -20.75997 | 281.14 | -1560.84 | -2348.20 |
| Prm5 | 785.06 | 107.37 | 464.86 | 1488.90 | -337.94 | -13.15480 | 846.74 | -181.90 | -902.40 | -1133.68 |
| Prm7 | -185.91 | -515.77 | -273.94 | -337.94 | 339.41 | -17.81949 | -460.97 | -66.07370 | 666.15 | 577.17 |
| Prm8 | -1377.18 | 895.33 | 414.46 | -13.15480 | -17.81949 | 43.11376 | 38.88761 | 85.92608 | -63.84700 | -72.46609 |
| Prm9 | -706.23 | 959.14 | -20.75997 | 846.74 | -460.97 | 38.88761 | 2409.24 | 863.48 | -1027.41 | -1104.81 |
| Prm10 | -3056.78 | 1845.91 | 281.14 | -181.90 | -66.07370 | 85.92608 | 863.48 | 1288.29 | -146.38 | 55.83221 |
| Prm12 | 940.44 | -2504.37 | -1560.84 | -902.40 | 666.15 | -63.84700 | -1027.41 | -146.38 | 2998.58 | 1389.73 |
| Prm14 | 1547.01 | -2277.87 | -2348.20 | -1133.68 | 577.17 | -72.46609 | -1104.81 | 55.83221 | 1389.73 | 3380.37 |
| Algorithm converged. |
| Working Correlation Matrix | |||
|---|---|---|---|
| Col1 | Col2 | Col3 | |
| Row1 | 1.0000 | 0.3151 | 0.0993 |
| Row2 | 0.3151 | 1.0000 | 0.3151 |
| Row3 | 0.0993 | 0.3151 | 1.0000 |
| GEE Fit Criteria | |
|---|---|
| QIC | 57.8301 |
| QICu | 60.0000 |
| Analysis Of GEE Parameter Estimates | ||||||||
|---|---|---|---|---|---|---|---|---|
| Empirical Standard Error Estimates | ||||||||
| Parameter | Estimate | Standard Error | 95% Confidence Limits | Z | Pr > |Z| | |||
| Intercept | -85.4291 | 215.3707 | -507.548 | 336.6897 | -0.40 | 0.6916 | ||
| visit | 1 | -55.5487 | 140.5541 | -331.030 | 219.9322 | -0.40 | 0.6927 | |
| visit | 2 | 140.2272 | 76.4375 | -9.5876 | 290.0419 | 1.83 | 0.0666 | |
| visit | 3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . | |
| txgroup | Treatment | -361.037 | 38.5863 | -436.664 | -285.409 | -9.36 | <.0001 | |
| txgroup | Control | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . | |
| covCon1 | 13.9267 | 18.4232 | -22.1821 | 50.0355 | 0.76 | 0.4497 | ||
| covcon2 | 18.5248 | 6.5661 | 5.6555 | 31.3941 | 2.82 | 0.0048 | ||
| ConCat | 1 | 17.3148 | 49.0840 | -78.8881 | 113.5177 | 0.35 | 0.7243 | |
| ConCat | 2 | 42.6226 | 35.8928 | -27.7261 | 112.9712 | 1.19 | 0.2350 | |
| ConCat | 3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . | |
| visit*txgroup | 1 | Treatment | 528.1456 | 54.7593 | 420.8194 | 635.4717 | 9.64 | <.0001 |
| visit*txgroup | 1 | Control | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*txgroup | 2 | Treatment | 44.4467 | 58.1409 | -69.5075 | 158.4008 | 0.76 | 0.4446 |
| visit*txgroup | 2 | Control | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*txgroup | 3 | Treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*txgroup | 3 | Control | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| Score Statistics For Type 3 GEE Analysis | |||
|---|---|---|---|
| Source | DF | Chi-Square | Pr > ChiSq |
| visit | 2 | 5.77 | 0.0560 |
| txgroup | 1 | 8.48 | 0.0036 |
| covCon1 | 1 | 0.68 | 0.4112 |
| covcon2 | 1 | 4.39 | 0.0362 |
| ConCat | 2 | 0.98 | 0.6129 |
| visit*txgroup | 2 | 14.06 | 0.0009 |
| Least Squares Means | ||||||||
|---|---|---|---|---|---|---|---|---|
| Effect | visit | txgroup | Estimate | Standard Error | DF | Chi-Square | Pr > ChiSq | |
| Mean | L'Beta | |||||||
| visit | 1 | 447.6240 | 447.6240 | 81.7866 | 1 | 29.95 | <.0001 | |
| visit | 2 | 401.5504 | 401.5504 | 25.6998 | 1 | 244.13 | <.0001 | |
| visit | 3 | 239.0999 | 239.0999 | 58.7369 | 1 | 16.57 | <.0001 | |
| txgroup | Treatment | 277.6718 | 277.6718 | 29.4603 | 1 | 88.84 | <.0001 | |
| txgroup | Control | 447.8444 | 447.8444 | 22.6570 | 1 | 390.71 | <.0001 | |
| visit*txgroup | 1 | Treatment | 531.1784 | 531.1784 | 82.9359 | 1 | 41.02 | <.0001 |
| visit*txgroup | 1 | Control | 364.0696 | 364.0696 | 88.5498 | 1 | 16.90 | <.0001 |
| visit*txgroup | 2 | Treatment | 243.2554 | 243.2554 | 38.7849 | 1 | 39.34 | <.0001 |
| visit*txgroup | 2 | Control | 559.8455 | 559.8455 | 33.4311 | 1 | 280.44 | <.0001 |
| visit*txgroup | 3 | Treatment | 58.5816 | 58.5816 | 65.9525 | 1 | 0.79 | 0.3744 |
| visit*txgroup | 3 | Control | 419.6183 | 419.6183 | 57.4000 | 1 | 53.44 | <.0001 |
| Differences of Least Squares Means | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Effect | visit | txgroup | _visit | _txgroup | Estimate | Standard Error | DF | Chi-Square | Pr > ChiSq |
| visit | 1 | 2 | 46.0736 | 80.1762 | 1 | 0.33 | 0.5655 | ||
| visit | 1 | 3 | 208.5241 | 134.1668 | 1 | 2.42 | 0.1201 | ||
| visit | 2 | 3 | 162.4505 | 65.8755 | 1 | 6.08 | 0.0137 | ||
| txgroup | Treatment | Control | -170.173 | 33.8986 | 1 | 25.20 | <.0001 | ||
| visit*txgroup | 1 | Treatment | 1 | Control | 167.1089 | 51.7946 | 1 | 10.41 | 0.0013 |
| visit*txgroup | 1 | Treatment | 2 | Treatment | 287.9230 | 90.0776 | 1 | 10.22 | 0.0014 |
| visit*txgroup | 1 | Treatment | 2 | Control | -28.6670 | 81.3810 | 1 | 0.12 | 0.7246 |
| visit*txgroup | 1 | Treatment | 3 | Treatment | 472.5969 | 133.2114 | 1 | 12.59 | 0.0004 |
| visit*txgroup | 1 | Treatment | 3 | Control | 111.5601 | 132.8312 | 1 | 0.71 | 0.4010 |
| visit*txgroup | 1 | Control | 2 | Treatment | 120.8142 | 98.5821 | 1 | 1.50 | 0.2204 |
| visit*txgroup | 1 | Control | 2 | Control | -195.776 | 80.8839 | 1 | 5.86 | 0.0155 |
| visit*txgroup | 1 | Control | 3 | Treatment | 305.4880 | 145.0159 | 1 | 4.44 | 0.0352 |
| visit*txgroup | 1 | Control | 3 | Control | -55.5487 | 140.5541 | 1 | 0.16 | 0.6927 |
| visit*txgroup | 2 | Treatment | 2 | Control | -316.590 | 51.0088 | 1 | 38.52 | <.0001 |
| visit*txgroup | 2 | Treatment | 3 | Treatment | 184.6738 | 67.2805 | 1 | 7.53 | 0.0061 |
| visit*txgroup | 2 | Treatment | 3 | Control | -176.363 | 68.3954 | 1 | 6.65 | 0.0099 |
| visit*txgroup | 2 | Control | 3 | Treatment | 501.2639 | 80.0117 | 1 | 39.25 | <.0001 |
| visit*txgroup | 2 | Control | 3 | Control | 140.2272 | 76.4375 | 1 | 3.37 | 0.0666 |
| visit*txgroup | 3 | Treatment | 3 | Control | -361.037 | 38.5863 | 1 | 87.55 | <.0001 |