| Mixed Effects Negative Binomial 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 | Negative Binomial |
| 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 | 2 |
| R-side Cov. Parameters | 1 |
| 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 | 3 |
| 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 | 1758.3010557 | . | 186.6201 |
| 1 | 0 | 5 | 1750.6327206 | 7.66833509 | 184.1917 |
| 2 | 0 | 11 | 1720.2691576 | 30.36356298 | 58.98885 |
| 3 | 0 | 5 | 1716.272248 | 3.99690959 | 200.5654 |
| 4 | 0 | 2 | 1712.1482567 | 4.12399137 | 95.15279 |
| 5 | 0 | 3 | 1710.7220829 | 1.42617372 | 26.1452 |
| 6 | 0 | 2 | 1709.5657251 | 1.15635782 | 8.262079 |
| 7 | 0 | 3 | 1709.3416724 | 0.22405275 | 8.314936 |
| 8 | 0 | 3 | 1709.276991 | 0.06468132 | 6.572191 |
| 9 | 0 | 3 | 1709.2585659 | 0.01842515 | 3.145712 |
| 10 | 0 | 3 | 1709.2476044 | 0.01096154 | 2.358768 |
| 11 | 0 | 3 | 1709.2448464 | 0.00275800 | 0.671064 |
| 12 | 0 | 3 | 1709.2441879 | 0.00065844 | 0.026985 |
| 13 | 0 | 3 | 1709.2441842 | 0.00000373 | 0.001043 |
| Convergence criterion (GCONV=1E-8) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Log Likelihood | 1709.24 |
| AIC (smaller is better) | 1723.24 |
| AICC (smaller is better) | 1723.64 |
| BIC (smaller is better) | 1737.67 |
| CAIC (smaller is better) | 1744.67 |
| HQIC (smaller is better) | 1728.86 |
| Fit Statistics for Conditional Distribution | |
|---|---|
| -2 log L(y | r. effects) | 1485.46 |
| Pearson Chi-Square | 207.57 |
| Pearson Chi-Square / DF | 0.72 |
| Estimated G Matrix | |||
|---|---|---|---|
| Effect | Row | Col1 | Col2 |
| Intercept | 1 | 0.4414 | |
| time | 2 | 0.1278 | |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| Intercept | id | 0.4414 | 0.1040 |
| time | id | 0.1278 | 0.06783 |
| Scale | 0.1173 | 0.02543 | |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.0986 | 0.1481 | 56 | 7.42 | <.0001 |
| time | 0.005442 | 0.1160 | 56 | 0.05 | 0.9628 |
| trt | 0.003289 | 0.2055 | 174 | 0.02 | 0.9873 |
| time*trt | -0.3585 | 0.1629 | 174 | -2.20 | 0.0291 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 56 | 0.00 | 0.9628 |
| trt | 1 | 174 | 0.00 | 0.9873 |
| time*trt | 1 | 174 | 4.84 | 0.0291 |