Mixed Effects Log-linear Regression Model (Random Intercept and Slope) |
Analysis Excluding Patient 49 (Potential Outlier) |
Clinical Trial of Epileptic Patients |
Model Information | |
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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 | ||
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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 |
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Number of Observations Used | 290 |
Dimensions | |
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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 | |
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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 | |
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-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 | |
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-2 log L(y | r. effects) | 1445.20 |
Pearson Chi-Square | 371.90 |
Pearson Chi-Square / DF | 1.28 |
Estimated G Matrix | |||
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Effect | Row | Col1 | Col2 |
Intercept | 1 | 0.4529 | 0.01511 |
time | 2 | 0.01511 | 0.2163 |
Covariance Parameter Estimates | |||
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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 |