Mixed Effects Log-linear Regression Model (Random Intercept and Slope) |
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 | 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 |
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Number of Observations Used | 295 |
Dimensions | |
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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 | |
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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 | 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 | |
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-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 | |
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-2 log L(y | r. effects) | 1488.65 |
Pearson Chi-Square | 384.52 |
Pearson Chi-Square / DF | 1.30 |
Estimated G Matrix | |||
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Effect | Row | Col1 | Col2 |
Intercept | 1 | 0.5010 | 0.05407 |
time | 2 | 0.05407 | 0.2334 |
Covariance Parameter Estimates | |||
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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 |