| 1. Outcome at 3 month follow-up Visit |
| response between treatment and control at Visit 4 |
| Model Information | |
|---|---|
| Data Set | WORK.LSMPLOTGEE |
| Distribution | Normal |
| Link Function | Identity |
| Dependent Variable | response |
| Number of Observations Read | 48 |
|---|---|
| Number of Observations Used | 39 |
| Missing Values | 9 |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| visit | 4 | 0 1 2 3 |
| treatment | 2 | Control treatment |
| ID | 10 | 1 2 6 7 8 17 19 21 22 26 |
| Parameter Information | |||
|---|---|---|---|
| Parameter | Effect | visit | treatment |
| Prm1 | Intercept | ||
| Prm2 | visit | 0 | |
| Prm3 | visit | 1 | |
| Prm4 | visit | 2 | |
| Prm5 | visit | 3 | |
| Prm6 | treatment | Control | |
| Prm7 | treatment | treatment | |
| Prm8 | concovariate1 | ||
| Prm9 | concovariate2 | ||
| Prm10 | visit*treatment | 0 | Control |
| Prm11 | visit*treatment | 0 | treatment |
| Prm12 | visit*treatment | 1 | Control |
| Prm13 | visit*treatment | 1 | treatment |
| Prm14 | visit*treatment | 2 | Control |
| Prm15 | visit*treatment | 2 | treatment |
| Prm16 | visit*treatment | 3 | Control |
| Prm17 | visit*treatment | 3 | treatment |
| Algorithm converged. |
| GEE Model Information | |
|---|---|
| Correlation Structure | Exchangeable |
| Subject Effect | ID (12 levels) |
| Number of Clusters | 12 |
| Clusters With Missing Values | 3 |
| Correlation Matrix Dimension | 4 |
| Maximum Cluster Size | 4 |
| Minimum Cluster Size | 0 |
| Covariance Matrix (Model-Based) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Prm1 | Prm2 | Prm3 | Prm4 | Prm6 | Prm8 | Prm9 | Prm10 | Prm12 | Prm14 | |
| Prm1 | 303.85 | -45.52176 | -45.52176 | -45.52176 | -4.34215 | -5.43189 | -0.91633 | 41.73948 | 41.73948 | 41.73948 |
| Prm2 | -45.52176 | 91.04352 | 45.52176 | 45.52176 | 45.52176 | 6.453E-15 | 1.035E-15 | -91.04352 | -45.52176 | -45.52176 |
| Prm3 | -45.52176 | 45.52176 | 91.04352 | 45.52176 | 45.52176 | 6.459E-15 | 1.011E-15 | -45.52176 | -91.04352 | -45.52176 |
| Prm4 | -45.52176 | 45.52176 | 45.52176 | 91.04352 | 45.52176 | 6.453E-15 | 1.033E-15 | -45.52176 | -45.52176 | -91.04352 |
| Prm6 | -4.34215 | 45.52176 | 45.52176 | 45.52176 | 126.53 | -0.73880 | -0.16831 | -133.96 | -133.96 | -133.96 |
| Prm8 | -5.43189 | 6.453E-15 | 6.459E-15 | 6.453E-15 | -0.73880 | 0.11955 | -0.001698 | -0.05392 | -0.05392 | -0.05392 |
| Prm9 | -0.91633 | 1.035E-15 | 1.011E-15 | 1.033E-15 | -0.16831 | -0.001698 | 0.06085 | 0.38232 | 0.38232 | 0.38232 |
| Prm10 | 41.73948 | -91.04352 | -45.52176 | -45.52176 | -133.96 | -0.05392 | 0.38232 | 249.39 | 135.59 | 135.59 |
| Prm12 | 41.73948 | -45.52176 | -91.04352 | -45.52176 | -133.96 | -0.05392 | 0.38232 | 135.59 | 249.39 | 135.59 |
| Prm14 | 41.73948 | -45.52176 | -45.52176 | -91.04352 | -133.96 | -0.05392 | 0.38232 | 135.59 | 135.59 | 249.39 |
| Covariance Matrix (Empirical) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Prm1 | Prm2 | Prm3 | Prm4 | Prm6 | Prm8 | Prm9 | Prm10 | Prm12 | Prm14 | |
| Prm1 | 252.79 | -21.01237 | -53.41906 | -41.02890 | -21.44235 | -3.68041 | -1.95238 | 4.60142 | 37.73593 | 23.06012 |
| Prm2 | -21.01237 | 219.09 | 29.50000 | 32.21296 | 62.15660 | -0.77100 | -0.05906 | -219.18 | -29.59146 | -32.30442 |
| Prm3 | -53.41906 | 29.50000 | 26.61111 | 20.44444 | 19.50406 | 0.60957 | 0.11860 | -28.97664 | -26.08775 | -19.92108 |
| Prm4 | -41.02890 | 32.21296 | 20.44444 | 16.53704 | 16.29218 | 0.45237 | 0.06558 | -31.96530 | -20.19678 | -16.28937 |
| Prm6 | -21.44235 | 62.15660 | 19.50406 | 16.29218 | 42.49573 | -0.06001 | -0.10874 | -81.65029 | -42.53927 | -42.82091 |
| Prm8 | -3.68041 | -0.77100 | 0.60957 | 0.45237 | -0.06001 | 0.06398 | 0.02219 | 0.92043 | -0.45741 | -0.31398 |
| Prm9 | -1.95238 | -0.05906 | 0.11860 | 0.06558 | -0.10874 | 0.02219 | 0.03747 | 0.52917 | 0.29931 | 0.53075 |
| Prm10 | 4.60142 | -219.18 | -28.97664 | -31.96530 | -81.65029 | 0.92043 | 0.52917 | 252.39 | 64.80001 | 73.39711 |
| Prm12 | 37.73593 | -29.59146 | -26.08775 | -20.19678 | -42.53927 | -0.45741 | 0.29931 | 64.80001 | 66.70984 | 64.50543 |
| Prm14 | 23.06012 | -32.30442 | -19.92108 | -16.28937 | -42.82091 | -0.31398 | 0.53075 | 73.39711 | 64.50543 | 68.98216 |
| Algorithm converged. |
| Working Correlation Matrix | ||||
|---|---|---|---|---|
| Col1 | Col2 | Col3 | Col4 | |
| Row1 | 1.0000 | -0.1149 | -0.1149 | -0.1149 |
| Row2 | -0.1149 | 1.0000 | -0.1149 | -0.1149 |
| Row3 | -0.1149 | -0.1149 | 1.0000 | -0.1149 |
| Row4 | -0.1149 | -0.1149 | -0.1149 | 1.0000 |
| Exchangeable Working Correlation | |
|---|---|
| Correlation | -0.114911442 |
| GEE Fit Criteria | |
|---|---|
| QIC | 40.7465 |
| QICu | 49.0000 |
| Analysis Of GEE Parameter Estimates | ||||||||
|---|---|---|---|---|---|---|---|---|
| Empirical Standard Error Estimates | ||||||||
| Parameter | Estimate | Standard Error | 95% Confidence Limits | Z | Pr > |Z| | |||
| Intercept | 71.9543 | 15.8992 | 40.7924 | 103.1162 | 4.53 | <.0001 | ||
| visit | 0 | 40.3333 | 14.8018 | 11.3224 | 69.3443 | 2.72 | 0.0064 | |
| visit | 1 | -5.0000 | 5.1586 | -15.1107 | 5.1107 | -0.97 | 0.3324 | |
| visit | 2 | -4.3333 | 4.0666 | -12.3037 | 3.6370 | -1.07 | 0.2866 | |
| visit | 3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . | |
| treatment | Control | -2.4047 | 6.5189 | -15.1815 | 10.3720 | -0.37 | 0.7122 | |
| treatment | treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . | |
| concovariate1 | -1.4573 | 0.2529 | -1.9531 | -0.9615 | -5.76 | <.0001 | ||
| concovariate2 | 0.7712 | 0.1936 | 0.3918 | 1.1506 | 3.98 | <.0001 | ||
| visit*treatment | 0 | Control | -27.5141 | 15.8868 | -58.6517 | 3.6235 | -1.73 | 0.0833 |
| visit*treatment | 0 | treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*treatment | 1 | Control | 16.0692 | 8.1676 | 0.0610 | 32.0774 | 1.97 | 0.0491 |
| visit*treatment | 1 | treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*treatment | 2 | Control | 20.1526 | 8.3055 | 3.8740 | 36.4311 | 2.43 | 0.0152 |
| visit*treatment | 2 | treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*treatment | 3 | Control | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| visit*treatment | 3 | treatment | 0.0000 | 0.0000 | 0.0000 | 0.0000 | . | . |
| Score Statistics For Type 3 GEE Analysis | |||
|---|---|---|---|
| Source | DF | Chi-Square | Pr > ChiSq |
| visit | 3 | 5.27 | 0.1533 |
| treatment | 1 | 0.01 | 0.9385 |
| concovariate1 | 1 | 3.57 | 0.0590 |
| concovariate2 | 1 | 3.61 | 0.0575 |
| visit*treatment | 3 | 6.29 | 0.0982 |
| Least Squares Means | ||||||||
|---|---|---|---|---|---|---|---|---|
| Effect | visit | treatment | Estimate | Standard Error | DF | Chi-Square | Pr > ChiSq | |
| Mean | L'Beta | |||||||
| visit | 0 | 38.9803 | 38.9803 | 6.0212 | 1 | 41.91 | <.0001 | |
| visit | 1 | 15.4387 | 15.4387 | 2.0618 | 1 | 56.07 | <.0001 | |
| visit | 2 | 18.1470 | 18.1470 | 2.2333 | 1 | 66.02 | <.0001 | |
| visit | 3 | 12.4041 | 12.4041 | 3.6006 | 1 | 11.87 | 0.0006 | |
| treatment | Control | 21.1286 | 21.1286 | 2.1153 | 1 | 99.77 | <.0001 | |
| treatment | treatment | 21.3564 | 21.3564 | 2.2908 | 1 | 86.92 | <.0001 | |
| visit*treatment | 0 | Control | 24.0209 | 24.0209 | 2.9998 | 1 | 64.12 | <.0001 |
| visit*treatment | 0 | treatment | 53.9398 | 53.9398 | 11.3712 | 1 | 22.50 | <.0001 |
| visit*treatment | 1 | Control | 22.2709 | 22.2709 | 3.1716 | 1 | 49.31 | <.0001 |
| visit*treatment | 1 | treatment | 8.6064 | 8.6064 | 3.2414 | 1 | 7.05 | 0.0079 |
| visit*treatment | 2 | Control | 27.0209 | 27.0209 | 3.8025 | 1 | 50.50 | <.0001 |
| visit*treatment | 2 | treatment | 9.2731 | 9.2731 | 2.9042 | 1 | 10.20 | 0.0014 |
| visit*treatment | 3 | Control | 11.2017 | 11.2017 | 4.3394 | 1 | 6.66 | 0.0098 |
| visit*treatment | 3 | treatment | 13.6064 | 13.6064 | 5.3242 | 1 | 6.53 | 0.0106 |
| Differences of Least Squares Means | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Effect | visit | treatment | _visit | _treatment | Estimate | Standard Error | DF | Chi-Square | Pr > ChiSq |
| visit | 0 | 1 | 23.5417 | 6.8830 | 1 | 11.70 | 0.0006 | ||
| visit | 0 | 2 | 20.8333 | 6.6064 | 1 | 9.94 | 0.0016 | ||
| visit | 0 | 3 | 26.5763 | 7.9376 | 1 | 11.21 | 0.0008 | ||
| visit | 1 | 2 | -2.7083 | 1.2924 | 1 | 4.39 | 0.0361 | ||
| visit | 1 | 3 | 3.0346 | 4.1474 | 1 | 0.54 | 0.4644 | ||
| visit | 2 | 3 | 5.7429 | 4.1825 | 1 | 1.89 | 0.1697 | ||
| treatment | Control | treatment | -0.2278 | 2.9298 | 1 | 0.01 | 0.9380 | ||
| visit*treatment | 0 | Control | 0 | treatment | -29.9188 | 11.4711 | 1 | 6.80 | 0.0091 |
| visit*treatment | 0 | Control | 1 | Control | 1.7500 | 1.6724 | 1 | 1.09 | 0.2954 |
| visit*treatment | 0 | Control | 1 | treatment | 15.4145 | 4.8145 | 1 | 10.25 | 0.0014 |
| visit*treatment | 0 | Control | 2 | Control | -3.0000 | 1.8371 | 1 | 2.67 | 0.1025 |
| visit*treatment | 0 | Control | 2 | treatment | 14.7479 | 4.4812 | 1 | 10.83 | 0.0010 |
| visit*treatment | 0 | Control | 3 | Control | 12.8192 | 5.7546 | 1 | 4.96 | 0.0259 |
| visit*treatment | 0 | Control | 3 | treatment | 10.4145 | 6.0517 | 1 | 2.96 | 0.0853 |
| visit*treatment | 0 | treatment | 1 | Control | 31.6688 | 11.5123 | 1 | 7.57 | 0.0059 |
| visit*treatment | 0 | treatment | 1 | treatment | 45.3333 | 13.6640 | 1 | 11.01 | 0.0009 |
| visit*treatment | 0 | treatment | 2 | Control | 26.9188 | 11.7193 | 1 | 5.28 | 0.0216 |
| visit*treatment | 0 | treatment | 2 | treatment | 44.6667 | 13.0845 | 1 | 11.65 | 0.0006 |
| visit*treatment | 0 | treatment | 3 | Control | 42.7380 | 11.7164 | 1 | 13.31 | 0.0003 |
| visit*treatment | 0 | treatment | 3 | treatment | 40.3333 | 14.8018 | 1 | 7.43 | 0.0064 |
| visit*treatment | 1 | Control | 1 | treatment | 13.6645 | 4.9119 | 1 | 7.74 | 0.0054 |
| visit*treatment | 1 | Control | 2 | Control | -4.7500 | 2.1028 | 1 | 5.10 | 0.0239 |
| visit*treatment | 1 | Control | 2 | treatment | 12.9979 | 4.5856 | 1 | 8.03 | 0.0046 |
| visit*treatment | 1 | Control | 3 | Control | 11.0692 | 6.4145 | 1 | 2.98 | 0.0844 |
| visit*treatment | 1 | Control | 3 | treatment | 8.6645 | 6.1295 | 1 | 2.00 | 0.1575 |
| visit*treatment | 1 | treatment | 2 | Control | -18.4145 | 5.3791 | 1 | 11.72 | 0.0006 |
| visit*treatment | 1 | treatment | 2 | treatment | -0.6667 | 1.5031 | 1 | 0.20 | 0.6574 |
| visit*treatment | 1 | treatment | 3 | Control | -2.5953 | 5.4862 | 1 | 0.22 | 0.6362 |
| visit*treatment | 1 | treatment | 3 | treatment | -5.0000 | 5.1586 | 1 | 0.94 | 0.3324 |
| visit*treatment | 2 | Control | 2 | treatment | 17.7479 | 5.0829 | 1 | 12.19 | 0.0005 |
| visit*treatment | 2 | Control | 3 | Control | 15.8192 | 7.2760 | 1 | 4.73 | 0.0297 |
| visit*treatment | 2 | Control | 3 | treatment | 13.4145 | 6.5099 | 1 | 4.25 | 0.0393 |
| visit*treatment | 2 | treatment | 3 | Control | -1.9286 | 5.1428 | 1 | 0.14 | 0.7076 |
| visit*treatment | 2 | treatment | 3 | treatment | -4.3333 | 4.0666 | 1 | 1.14 | 0.2866 |
| visit*treatment | 3 | Control | 3 | treatment | -2.4047 | 6.5189 | 1 | 0.14 | 0.7122 |