Research Article
Empirical Examination of the Poisson Regression Residuals for the Evaluation of Influential Points
Table 2
Performance of Poisson regression residuals with different covariate distributions and pā=ā4.
| Distribution of covariates | n | Chi | dev | Csrp | DFITsrp | Csrd | DFITsrd | CI | DFITI | Csra | DFITsra | Csrw | DIFTsrw |
| Normal (0, 1) | 25 | 59.6 | 59.6 | 75.1 | 100 | 100 | 100 | 39.6 | 84.3 | 75.1 | 100 | 75.1 | 100 | 50 | 44.7 | 44.7 | 76.4 | 96.2 | 76.4 | 92.1 | 54.2 | 92.8 | 76.4 | 76.4 | 76.4 | 96.2 | 100 | 30.7 | 30.7 | 78 | 97.2 | 78 | 95.1 | 64.2 | 95.9 | 78 | 78 | 78 | 97.2 | 200 | 20 | 20 | 76.7 | 98.4 | 76.7 | 96.6 | 70.5 | 97.7 | 76.7 | 76.7 | 76.7 | 98.4 |
| Normal (10, 3) | 25 | 39.9 | 39.9 | 62.9 | 91.3 | 62.9 | 83 | 32.8 | 85.9 | 62.9 | 62.9 | 62.9 | 91.3 | 50 | 30.8 | 30.8 | 69 | 96.2 | 69 | 90.1 | 48.2 | 93.4 | 69 | 69 | 69 | 96.2 | 100 | 24.3 | 24.3 | 72.8 | 98.3 | 72.8 | 96.3 | 59.9 | 97.5 | 72.8 | 72.8 | 72.8 | 98.3 | 200 | 19.9 | 19.9 | 74 | 99 | 74 | 96.4 | 67.5 | 98.5 | 74 | 74 | 74 | 99 |
| Gamma (0.5, 3) | 25 | 68.9 | 68.9 | 75.2 | 80.9 | 75.2 | 78.9 | 32.9 | 71.8 | 75.2 | 75.2 | 75.2 | 80.9 | 50 | 69.6 | 69.6 | 78.8 | 86 | 78.8 | 83.8 | 49.2 | 81.3 | 78.8 | 78.8 | 78.8 | 86 | 100 | 62.7 | 62.7 | 80.9 | 91.1 | 80.9 | 88.2 | 63 | 89 | 80.9 | 80.9 | 80.9 | 91.1 | 200 | 54.3 | 54.3 | 85.1 | 96.5 | 85.1 | 94.2 | 69.7 | 85.3 | 85.1 | 85.1 | 85.1 | 96.5 |
| Poisson (0.5) | 25 | 64 | 64 | 76.3 | 87.7 | 76.3 | 83 | 38.8 | 80.5 | 76.3 | 76.3 | 76.3 | 87.7 | 50 | 53.9 | 53.9 | 79.2 | 94.4 | 79.2 | 90.3 | 50.8 | 90 | 79.2 | 79.2 | 79.2 | 94.4 | 100 | 44.4 | 44.4 | 81.4 | 97.4 | 81.4 | 94.7 | 65.1 | 95.1 | 81.4 | 81.4 | 81.4 | 97.4 | 200 | 33.7 | 33.7 | 83.9 | 99.6 | 83.9 | 98.5 | 73.3 | 98.8 | 83.9 | 83.9 | 83.9 | 99.6 |
| Poisson (3) | 25 | 55.9 | 55.9 | 74.3 | 91.8 | 74.3 | 85.3 | 38.5 | 83.3 | 74.3 | 74.3 | 74.3 | 91.8 | 50 | 44.1 | 44.1 | 76.5 | 96 | 76.5 | 91.8 | 52.9 | 93.5 | 76.5 | 76.5 | 76.5 | 96 | 100 | 31 | 31 | 78.7 | 98.6 | 78.7 | 96.7 | 62.2 | 97.5 | 78.7 | 78.7 | 78.7 | 98.6 | 200 | 21.4 | 21.4 | 78.7 | 98.4 | 78.7 | 97 | 70.7 | 97.6 | 78.7 | 78.7 | 78.7 | 98.4 |
|
|