| MQL estimation of 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 | Residual MPL |
| Degrees of Freedom Method | Containment |
| Fixed Effects SE Adjustment | Sandwich - Classical |
| 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 | 1 |
| Lower Boundaries | 1 |
| Upper Boundaries | 0 |
| Fixed Effects | Profiled |
| Starting From | Data |
| Iteration History | |||||
|---|---|---|---|---|---|
| Iteration | Restarts | Subiterations | Objective Function |
Change | Max Gradient |
| 0 | 0 | 4 | 15924.450822 | 2.00000000 | 8.839E-6 |
| 1 | 0 | 4 | 15749.815 | 0.07957237 | 4.066E-6 |
| 2 | 0 | 2 | 15753.003353 | 0.00146408 | 4.397E-7 |
| 3 | 0 | 1 | 15753.012592 | 0.00000686 | 0.00037 |
| 4 | 0 | 1 | 15753.012419 | 0.00000312 | 0.000168 |
| 5 | 0 | 1 | 15753.01243 | 0.00000134 | 0.000072 |
| 6 | 0 | 1 | 15753.012425 | 0.00000058 | 0.000031 |
| 7 | 0 | 1 | 15753.012427 | 0.00000025 | 0.000013 |
| 8 | 0 | 1 | 15753.012426 | 0.00000107 | 0.00018 |
| 9 | 0 | 1 | 15753.012431 | 0.00000143 | 0.000077 |
| 10 | 0 | 1 | 15753.012425 | 0.00000062 | 0.000033 |
| 11 | 0 | 1 | 15753.012427 | 0.00000027 | 0.000014 |
| 12 | 0 | 1 | 15753.012426 | 0.00000114 | 0.000192 |
| 13 | 0 | 1 | 15753.012431 | 0.00000152 | 0.000082 |
| 14 | 0 | 1 | 15753.012425 | 0.00000066 | 0.000035 |
| 15 | 0 | 1 | 15753.012427 | 0.00000028 | 0.000015 |
| 16 | 0 | 1 | 15753.012426 | 0.00000122 | 0.000204 |
| 17 | 0 | 1 | 15753.012431 | 0.00000162 | 0.000088 |
| 18 | 0 | 1 | 15753.012425 | 0.00000070 | 0.000038 |
| 19 | 0 | 1 | 15753.012427 | 0.00000030 | 0.000016 |
| 20 | 0 | 1 | 15753.012426 | 0.00000130 | 0.000218 |
| 21 | 0 | 1 | 15753.012431 | 0.00000173 | 0.000093 |
| 22 | 0 | 1 | 15753.012425 | 0.00000075 | 0.00004 |
| 23 | 0 | 1 | 15753.012427 | 0.00000032 | 0.000017 |
| 24 | 0 | 1 | 15753.012426 | 0.00000014 | 7.468E-6 |
| 25 | 0 | 0 | 15753.012427 | 0.00000000 | 7.531E-6 |
| Convergence criterion (PCONV=1.11022E-8) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Res Log Pseudo-Likelihood | 15753.01 |
| Generalized Chi-Square | 2672.50 |
| Gener. Chi-Square / DF | 0.74 |
| Estimated G Matrix | ||
|---|---|---|
| Effect | Row | Col1 |
| Intercept | 1 | 1.2608 |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| Intercept | id | 1.2608 | 0.1184 |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | -2.2163 | 0.1770 | 1150 | -12.52 | <.0001 |
| time | 0.6851 | 0.1598 | 2461 | 4.29 | <.0001 |
| time2 | -0.03137 | 0.03223 | 2461 | -0.97 | 0.3305 |
| time*trt | 0.3080 | 0.1115 | 2461 | 2.76 | 0.0058 |
| time2*trt | -0.06111 | 0.02899 | 2461 | -2.11 | 0.0351 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 2461 | 18.39 | <.0001 |
| time2 | 1 | 2461 | 0.95 | 0.3305 |
| time*trt | 1 | 2461 | 7.64 | 0.0058 |
| time2*trt | 1 | 2461 | 4.44 | 0.0351 |
| Contrasts | ||||||
|---|---|---|---|---|---|---|
| Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
| 2 df Test of Trt X Time Interaction | 2 | 2461 | 10.51 | 5.26 | 0.0052 | 0.0053 |