| Mixed Effects Log-linear Regression Model (Random Intercept and Slope) |
| Clinical Trial of Epileptic Patients |
| Model Information | |
|---|---|
| Data Set | WORK.SEIZURE |
| Response Variable | y |
| Response Distribution | Poisson |
| Link Function | Log |
| Variance Function | Default |
| Offset Variable | ltime |
| Variance Matrix Blocked By | id |
| Estimation Technique | Maximum Likelihood |
| Likelihood Approximation | Gauss-Hermite Quadrature |
| Degrees of Freedom Method | Containment |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| id | 59 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 |
| Number of Observations Read | 295 |
|---|---|
| Number of Observations Used | 295 |
| Dimensions | |
|---|---|
| G-side Cov. Parameters | 3 |
| Columns in X | 4 |
| Columns in Z per Subject | 2 |
| Subjects (Blocks in V) | 59 |
| Max Obs per Subject | 5 |
| Optimization Information | |
|---|---|
| Optimization Technique | Dual Quasi-Newton |
| Parameters in Optimization | 7 |
| Lower Boundaries | 2 |
| 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 | 1877.2688364 | . | 33.85503 |
| 1 | 0 | 5 | 1859.7172806 | 17.55155584 | 32.19851 |
| 2 | 0 | 5 | 1857.3118427 | 2.40543794 | 27.85707 |
| 3 | 0 | 6 | 1853.5621073 | 3.74973539 | 51.13687 |
| 4 | 0 | 5 | 1851.9185038 | 1.64360350 | 31.2914 |
| 5 | 0 | 3 | 1851.361427 | 0.55707675 | 24.24194 |
| 6 | 0 | 2 | 1850.6372809 | 0.72414613 | 23.85377 |
| 7 | 0 | 3 | 1850.3692495 | 0.26803142 | 11.2807 |
| 8 | 0 | 2 | 1850.0427724 | 0.32647703 | 3.696063 |
| 9 | 0 | 3 | 1849.955311 | 0.08746140 | 1.628479 |
| 10 | 0 | 3 | 1849.9368821 | 0.01842899 | 0.951479 |
| 11 | 0 | 3 | 1849.9360627 | 0.00081930 | 0.233257 |
| 12 | 0 | 3 | 1849.9359313 | 0.00013146 | 0.031138 |
| 13 | 0 | 3 | 1849.9359297 | 0.00000163 | 0.008354 |
| Convergence criterion (GCONV=1E-8) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 1849.94 |
| AIC (smaller is better) | 1863.94 |
| AICC (smaller is better) | 1864.33 |
| BIC (smaller is better) | 1878.48 |
| CAIC (smaller is better) | 1885.48 |
| HQIC (smaller is better) | 1869.61 |
| Fit Statistics for Conditional Distribution | |
|---|---|
| -2 log L(y | r. effects) | 1488.65 |
| Pearson Chi-Square | 384.52 |
| Pearson Chi-Square / DF | 1.30 |
| Estimated G Matrix | |||
|---|---|---|---|
| Effect | Row | Col1 | Col2 |
| Intercept | 1 | 0.5010 | 0.05407 |
| time | 2 | 0.05407 | 0.2334 |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| UN(1,1) | id | 0.5010 | 0.1010 |
| UN(2,1) | id | 0.05407 | 0.05589 |
| UN(2,2) | id | 0.2334 | 0.06075 |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.0707 | 0.1406 | 57 | 7.62 | <.0001 |
| time | -0.00039 | 0.1097 | 57 | -0.00 | 0.9971 |
| trt | 0.05130 | 0.1931 | 177 | 0.27 | 0.7908 |
| time*trt | -0.3065 | 0.1513 | 177 | -2.03 | 0.0442 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 57 | 0.00 | 0.9971 |
| trt | 1 | 177 | 0.07 | 0.7908 |
| time*trt | 1 | 177 | 4.11 | 0.0442 |