Question: 7. Consider the data in Table 9.3 on low birth weight in New York counties and consider which of the two models is most appropriate:

7. Consider the data in Table 9.3 on low birth weight in New York counties and consider which of the two models is most appropriate:

(a) a convolution model (9.6) with spatially constant effects of public assistance and non-white ethnicity or

(b) a model with spatially varying effects of these predictors. This model could have the form (for Bi denoting total births)

yi ∼ Po(Biri ), log(ri ) = α + xi1βi1 + xi2βi2, with a multivariate CAR prior on the differences from the average (fixed effect) coefficients, as in (9.19).

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