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Table 2 Model definitions

From: Low dose radiation risks for women surviving the a-bombs in Japan: generalized additive model

Model Family ϕ Model Family ϕ Terms
P0 poisson 1 Q0 quasipoisson >0 offset(log(py))+(fd+fc)ˆ2+ti(logage) +ti(birth)+ti(logage,birth)
P1e poisson 1 Q1e quasipoisson >0 .+ecdos
P2e poisson 1 Q2e quasipoisson >0 .+ti(ecdos)
P3e poisson 1 Q3e quasipoisson >0 .+ti(ecdos)+ti(ecdos,logage)
P4ae poisson 1 Q4ae quasipoisson >0 .+ti(ecdos)+ti(ecdos,agex)
P4se poisson 1 Q4se quasipoisson >0 .+ti(ecdos)+ti(ecdos,since)
P5ae poisson 1 Q5ae quasipoisson >0 .+ti(ecdos)+ti(ecdos,logage) +ti(agex)+ti(ecdos,agex)
P5se poisson 1 Q5se quasipoisson >0 .+ti(ecdos)+ti(ecdos,logage) +ti(since)+ti(ecdos,since)
P1d poisson 1 Q1d quasipoisson >0 .+dose
P2d poisson 1 Q2d quasipoisson >0 .+ti(dose)
P3d poisson 1 Q3d quasipoisson >0 .+ti(dose)+ti(dose,logage)
P4ad poisson 1 Q4ad quasipoisson >0 .+ti(dose)+ti(dose,agex)
P4sd poisson 1 Q4sd quasipoisson >0 .+ti(dose)+ti(dose,since)
P5ad poisson 1 Q5ad quasipoisson >0 .+ti(dose)+ti(dose,logage) +ti(agex)+ti(dose,agex)
P5sd poisson 1 Q5sd quasipoisson >0 .+ti(dose)+ti(dose,logage) +ti(since)+ti(dose,since)
  1. Models use cubic regression (cr) splines, with basis dimension 10
  2. Model fitting by method ML
  3. “.+” : augment the initial model P0 (or Q0) by the terms which follow
  4. ti refers to a smooth term on the enclosed covariate(s)