Mixed Effects Log-linear Regression Model (Random Intercept and Slope)
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 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