| Random Effects Logistic Regression Model for Odds of Amenorrhea |
| Clinical Trial of Contracepting Women |
| Model Information | |
|---|---|
| Data Set | WORK.AMEN |
| Response Variable | y |
| Response Distribution | Binomial |
| Link Function | Logit |
| Variance Function | Default |
| Variance Matrix Blocked By | id |
| Estimation Technique | Maximum Likelihood |
| Likelihood Approximation | Gauss-Hermite Quadrature |
| Degrees of Freedom Method | Containment |
| Number of Observations Read | 4604 |
|---|---|
| Number of Observations Used | 3616 |
| Dimensions | |
|---|---|
| G-side Cov. Parameters | 1 |
| Columns in X | 5 |
| Columns in Z per Subject | 1 |
| Subjects (Blocks in V) | 1151 |
| Max Obs per Subject | 4 |
| Optimization Information | |
|---|---|
| Optimization Technique | Dual Quasi-Newton |
| Parameters in Optimization | 6 |
| Lower Boundaries | 1 |
| Upper Boundaries | 0 |
| Fixed Effects | Not Profiled |
| Starting From | GLM estimates |
| Quadrature Points | 50 |
| Iteration History | |||||
|---|---|---|---|---|---|
| Iteration | Restarts | Evaluations | Objective Function |
Change | Max Gradient |
| 0 | 0 | 4 | 3962.7364136 | . | 751.6664 |
| 1 | 0 | 4 | 3956.1434481 | 6.59296549 | 170.9975 |
| 2 | 0 | 2 | 3946.6562429 | 9.48720521 | 594.7693 |
| 3 | 0 | 3 | 3921.2647391 | 25.39150377 | 212.3625 |
| 4 | 0 | 2 | 3897.0620727 | 24.20266644 | 37.14434 |
| 5 | 0 | 4 | 3880.0445788 | 17.01749382 | 122.1483 |
| 6 | 0 | 3 | 3869.708903 | 10.33567581 | 114.3655 |
| 7 | 0 | 3 | 3868.9862599 | 0.72264312 | 36.80192 |
| 8 | 0 | 3 | 3868.9317498 | 0.05451015 | 2.388693 |
| 9 | 0 | 3 | 3868.9300356 | 0.00171413 | 1.535736 |
| 10 | 0 | 3 | 3868.9299681 | 0.00006752 | 0.124257 |
| 11 | 0 | 3 | 3868.9299668 | 0.00000130 | 0.046076 |
| 12 | 0 | 2 | 3868.9299658 | 0.00000097 | 0.040627 |
| 13 | 0 | 3 | 3868.9299656 | 0.00000029 | 0.003542 |
| 14 | 0 | 3 | 3868.9299655 | 0.00000001 | 0.000232 |
| 15 | 0 | 2 | 3868.9299655 | 0.00000000 | 0.000232 |
| Convergence criterion (GCONV=1E-12) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 3868.93 |
| AIC (smaller is better) | 3880.93 |
| AICC (smaller is better) | 3880.95 |
| BIC (smaller is better) | 3911.22 |
| CAIC (smaller is better) | 3917.22 |
| HQIC (smaller is better) | 3892.36 |
| Fit Statistics for Conditional Distribution | |
|---|---|
| -2 log L(y | r. effects) | 2173.41 |
| Pearson Chi-Square | 1746.28 |
| Pearson Chi-Square / DF | 0.48 |
| Estimated G Matrix | ||
|---|---|---|
| Effect | Row | Col1 |
| Intercept | 1 | 5.0646 |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| Intercept | id | 5.0646 | 0.5840 |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | -3.8057 | 0.3050 | 1150 | -12.48 | <.0001 |
| time | 1.1332 | 0.2682 | 2461 | 4.22 | <.0001 |
| time2 | -0.04192 | 0.05481 | 2461 | -0.76 | 0.4444 |
| time*trt | 0.5644 | 0.1922 | 2461 | 2.94 | 0.0034 |
| time2*trt | -0.1096 | 0.04961 | 2461 | -2.21 | 0.0273 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 2461 | 17.85 | <.0001 |
| time2 | 1 | 2461 | 0.59 | 0.4444 |
| time*trt | 1 | 2461 | 8.62 | 0.0034 |
| time2*trt | 1 | 2461 | 4.88 | 0.0273 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| 2 df Test of Trt X Time Interaction | 2 | 2461 | 12.40 | 6.20 | 0.0020 | 0.0021 |