Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 218 / 1 / b

Table of contents
- Solution b

Solution

The second fit is a Quasi-Poisson regression. It retains the logarithmic link function and mean model

lo g μ_{i} = β_{0} + β_{1} x_{i 1} + β_{2} x_{i 2},

but assumes only

Var (Y_{i}) = ϕ μ_{i}

for an unknown dispersion parameter

ϕ

, rather than a complete Poisson distribution.

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