| Mixed Effects Log-linear Regression Model (Random Intercept and Slope) |
| Analysis Excluding Patient 49 (Potential Outlier) |
| 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 | 58 | 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 50 51 52 53 54 55 56 57 58 59 |
| Number of Observations Read | 290 |
|---|---|
| Number of Observations Used | 290 |
| Dimensions | |
|---|---|
| G-side Cov. Parameters | 3 |
| Columns in X | 4 |
| Columns in Z per Subject | 2 |
| Subjects (Blocks in V) | 58 |
| 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 | 1802.0235965 | . | 49.70005 |
| 1 | 0 | 5 | 1789.8263066 | 12.19728991 | 26.16037 |
| 2 | 0 | 5 | 1788.3246047 | 1.50170190 | 28.26436 |
| 3 | 0 | 3 | 1788.0082465 | 0.31635819 | 23.6594 |
| 4 | 0 | 3 | 1787.7577575 | 0.25048901 | 17.17315 |
| 5 | 0 | 2 | 1787.5940392 | 0.16371831 | 18.05257 |
| 6 | 0 | 2 | 1787.499969 | 0.09407021 | 9.869179 |
| 7 | 0 | 4 | 1787.2517827 | 0.24818623 | 3.376742 |
| 8 | 0 | 3 | 1787.1150484 | 0.13673434 | 2.297866 |
| 9 | 0 | 3 | 1787.0969131 | 0.01813527 | 0.298004 |
| 10 | 0 | 3 | 1787.0967493 | 0.00016385 | 0.044139 |
| 11 | 0 | 3 | 1787.0967469 | 0.00000239 | 0.004109 |
| Convergence criterion (GCONV=1E-8) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 1787.10 |
| AIC (smaller is better) | 1801.10 |
| AICC (smaller is better) | 1801.49 |
| BIC (smaller is better) | 1815.52 |
| CAIC (smaller is better) | 1822.52 |
| HQIC (smaller is better) | 1806.71 |
| Fit Statistics for Conditional Distribution | |
|---|---|
| -2 log L(y | r. effects) | 1445.20 |
| Pearson Chi-Square | 371.90 |
| Pearson Chi-Square / DF | 1.28 |
| Estimated G Matrix | |||
|---|---|---|---|
| Effect | Row | Col1 | Col2 |
| Intercept | 1 | 0.4529 | 0.01511 |
| time | 2 | 0.01511 | 0.2163 |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| UN(1,1) | id | 0.4529 | 0.09354 |
| UN(2,1) | id | 0.01511 | 0.05290 |
| UN(2,2) | id | 0.2163 | 0.05870 |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.0692 | 0.1344 | 56 | 7.96 | <.0001 |
| time | 0.007817 | 0.1070 | 56 | 0.07 | 0.9420 |
| trt | -0.00792 | 0.1860 | 174 | -0.04 | 0.9661 |
| time*trt | -0.3461 | 0.1489 | 174 | -2.33 | 0.0212 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 56 | 0.01 | 0.9420 |
| trt | 1 | 174 | 0.00 | 0.9661 |
| time*trt | 1 | 174 | 5.41 | 0.0212 |