Consider the loglinear random effects model log[E(Y it | u i )] = x? it ? +

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Consider the loglinear random effects model

log[E(Yit | ui)] = x?it ? + z?it ui,

where {?i} are independent N(0, ?). Show that this implies the marginal loglinear model

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with the same fixed effects but with offset term. For the random-intercept case, indicate the role of ? on the size of the offset. Explain what happens when ? = 0.

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