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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 218 / 2 / e / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 218 2 e
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The beta-binomial model mixes binomials over a beta-distributed success probability. The random-intercept generalized linear mixed model instead takes
logit(Pj​)=zjT​β+bj​,bj​∼N(0,τ2).
(1)
Both create within-user dependence and overdispersion, but use different mixing distributions. The mixed-model coefficients are conditional on the random effect, while beta-binomial regression is naturally phrased through a marginal mean.

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