Table 6 Mean, variance, skewness, kurtosis and the p-value of the SW normality test for the Pearson residual, deviance residual, MQR and RQR in the real data analysis
From: A comparison of residual diagnosis tools for diagnosing regression models for count data
| Â | Model | Pearson | Deviance | MQR | RQR |
|---|---|---|---|---|---|
Mean | Poisson | 0.000 | -0.292 | 0.043 | -0.016 |
| Â | NB | 0.000 | -0.311 | 0.066 | -0.022 |
| Â | ZIP | 0.002 | -0.004 | 0.236 | 0.153 |
| Â | ZINB | 0.000 | -0.311 | 0.066 | 0.001 |
Variance | Poisson | 1.495 | 0.789 | 0.555 | 1.000 |
| Â | NB | 1.040 | 0.466 | 0.425 | 1.000 |
| Â | ZIP | 1.145 | 0.927 | 0.657 | 1.000 |
| Â | ZINB | 1.040 | 0.466 | 0.425 | 1.000 |
Skewness | Poisson | 3.507 | 2.179 | 2.467 | 0.508 |
| Â | NB | 3.524 | 1.980 | 2.058 | 0.029 |
| Â | ZIP | 3.546 | 2.009 | 2.290 | 0.361 |
| Â | ZINB | 3.524 | 1.980 | 2.058 | 0.019 |
Kurtosis | Poisson | 18.225 | 5.189 | 7.500 | 1.259 |
| Â | NB | 17.649 | 3.273 | 3.504 | -0.025 |
| Â | ZIP | 18.306 | 3.412 | 5.417 | 0.512 |
| Â | ZINB | 17.649 | 3.272 | 3.504 | 0.033 |
SW test | Poisson | 0.000 | 0.000 | 0.000 | 0.000 |
| Â | NB | 0.000 | 0.000 | 0.000 | 0.452 |
| Â | ZIP | 0.000 | 0.000 | 0.000 | 0.000 |
| Â | ZINB | 0.000 | 0.000 | 0.000 | 0.459 |