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 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