PQL Estimation of Mixed Effects Log-linear Regression Model (Random Intercept and Slope)
Analysis Excluding Patient 49 (Potential Outlier)
Clinical Trial of Epileptic Patients

The GLIMMIX Procedure

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 PL
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 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 5 618.31021252 1.57169378 0.00096
1 0 5 690.76769167 0.64367651 0.000066
2 0 3 699.35281742 0.02434510 0.008732
3 0 3 699.53509186 0.00007730 3.511E-7
4 0 1 699.53550498 0.00000191 5.142E-6
5 0 0 699.53550858 0.00000000 4.91E-6

Convergence criterion (PCONV=1.11022E-8) satisfied.

Fit Statistics
-2 Res Log Pseudo-Likelihood 699.54
Generalized Chi-Square 460.97
Gener. Chi-Square / DF 1.61

Estimated G Matrix
Effect Row Col1 Col2
Intercept 1 0.4579 0.01222
time 2 0.01222 0.2196

Covariance Parameter Estimates
Cov Parm Subject Estimate Standard Error
UN(1,1) id 0.4579 0.09545
UN(2,1) id 0.01222 0.05372
UN(2,2) id 0.2196 0.05939

Solutions for Fixed Effects
Effect Estimate Standard Error DF t Value Pr > |t|
Intercept 1.0869 0.1344 56 8.09 <.0001
time 0.01148 0.1058 56 0.11 0.9140
trt -0.00744 0.1868 174 -0.04 0.9683
time*trt -0.3415 0.1490 174 -2.29 0.0231

Type III Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
time 1 56 0.01 0.9140
trt 1 174 0.00 0.9683
time*trt 1 174 5.25 0.0231