. 2023 Jul 22;23:171. doi: 10.1186/s12874-023-01987-5

Table 5.

Summary of the models to be evaluated

PM3

$\log (μ_{ij}) = \log (S_{ij}) + α_{0} + β_{e p 1} \cdot \log (y_{i, j - 1}) + u_{i} + v_{i} + β_{e p 2} \cdot \log (\sum_{δ_{i}} y_{δ_{i}, j - 1})$

NBM3RS

$\log (μ_{ij}) = \log (S_{ij}) + α_{0} + β_{e p 1} \cdot \log (y_{i, j - 1}) + u_{i} + v_{i} + β_{e p 2} \cdot \log (\sum_{δ_{i}} y_{δ_{i}, j - 1})$

$\log (r_{i}) = r_{0} + u_{i} + v_{i}$

NBM3RST

$\log (μ_{ij}) = \log (S_{ij}) + α_{0} + β_{e p 1} \log (y_{i, j - 1}) + u_{i} + v_{i} + β_{e p 2} \cdot \log (\sum_{δ_{i}} y_{δ_{i}, j - 1})$

$\log (r_{ij}) = r_{0} + u_{i} + v_{i} + β_{r} \cdot \log (\sum_{δ_{i}} y_{δ_{i}, j - 1})$