Table 3 RQRs for commmonly used regression models for count data
From: A comparison of residual diagnosis tools for diagnosing regression models for count data
Model | RQRs |
|---|---|
Poisson | \(z^{Q}_{i} = \Phi ^{-1} \left (ppois(y_{i}-1;\hat {\mu }_i)+u_{i} \cdot dpois(y_{i};\hat {\mu }_i) \right)\) |
NB | \(z^{Q}_{i} = \Phi ^{-1} \left (pnb(y_{i}-1;\hat {\mu }_i, \hat {k})+u_{i} \cdot dnb(y_{i};\hat {\mu }_i,\hat {k}) \right)\) |
ZIP | \(z^{Q}_{i} = \Phi ^{-1} \left (pzip(y_{i}-1;\hat {\mu }_i,\hat {p_{i}})+u_{i} \cdot dzip(y_{i};\hat {\mu }_i,\hat {p_{i}})\right)\) |
ZINB | \(z^{Q}_{i} = \Phi ^{-1} \left (pzinb(y_{i}-1;\hat {\mu _{i}},\hat {k},\hat { p_{i}})+u_{i} \cdot dzinb(y_{i};\hat {\mu _{i}},\hat {k},\hat { p_{i}})\right)\) |