| MQL Estimation of 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 | Residual MPL |
| Degrees of Freedom Method | Containment |
| Fixed Effects SE Adjustment | Sandwich - Classical |
| 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 | 3 |
| Lower Boundaries | 2 |
| Upper Boundaries | 0 |
| Fixed Effects | Profiled |
| Starting From | Data |
| Iteration History | |||||
|---|---|---|---|---|---|
| Iteration | Restarts | Subiterations | Objective Function |
Change | Max Gradient |
| 0 | 0 | 9 | 1172.3044589 | 2.00000000 | 0.000884 |
| 1 | 0 | 7 | 906.87790747 | 0.86327170 | 0.005768 |
| 2 | 0 | 6 | 933.0571182 | 0.12288202 | 1.645E-6 |
| 3 | 0 | 5 | 933.44539182 | 0.00305874 | 3.966E-8 |
| 4 | 0 | 1 | 933.44548815 | 0.00000151 | 0.00003 |
| 5 | 0 | 1 | 933.44548815 | 0.00000834 | 0.000064 |
| 6 | 0 | 1 | 933.44548815 | 0.00001158 | 0.000016 |
| 7 | 0 | 1 | 933.44548815 | 0.00001276 | 0.000051 |
| 8 | 0 | 1 | 933.44548815 | 0.00000959 | 0.000011 |
| 9 | 0 | 1 | 933.44548815 | 0.00000344 | 0.000024 |
| 10 | 0 | 1 | 933.44548815 | 0.00000443 | 6.156E-6 |
| 11 | 0 | 0 | 933.44548815 | 0.00000000 | 6.156E-6 |
| Convergence criterion (PCONV=1.11022E-8) satisfied. |
| Fit Statistics | |
|---|---|
| -2 Res Log Pseudo-Likelihood | 933.45 |
| Generalized Chi-Square | 731.29 |
| Gener. Chi-Square / DF | 2.56 |
| Estimated G Matrix | |||
|---|---|---|---|
| Effect | Row | Col1 | Col2 |
| Intercept | 1 | 0.5182 | -0.01269 |
| time | 2 | -0.01269 | 0.3697 |
| Covariance Parameter Estimates | |||
|---|---|---|---|
| Cov Parm | Subject | Estimate | Standard Error |
| UN(1,1) | id | 0.5182 | 0.1043 |
| UN(2,1) | id | -0.01269 | 0.06604 |
| UN(2,2) | id | 0.3697 | 0.08339 |
| Solutions for Fixed Effects | |||||
|---|---|---|---|---|---|
| Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
| Intercept | 1.3476 | 0.1574 | 56 | 8.56 | <.0001 |
| time | 0.1118 | 0.1159 | 56 | 0.96 | 0.3389 |
| trt | -0.1068 | 0.1937 | 174 | -0.55 | 0.5820 |
| time*trt | -0.3024 | 0.1711 | 174 | -1.77 | 0.0789 |
| Type III Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| time | 1 | 56 | 0.93 | 0.3389 |
| trt | 1 | 174 | 0.30 | 0.5820 |
| time*trt | 1 | 174 | 3.12 | 0.0789 |