Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 13K / a / Solution

Let $Y_i$ be the number of survivors among the $n_i$ patients in row $i$. The fitted grouped-binomial logistic regression iswithSite A and nonmalignant tumours are the reference levels. There is no site-by-malignancy interaction, so the malignancy log-odds effect is assumed to be the same at all three sites. In the R call, survive/total supplies the observed proportions and weights = total supplies the binomial denominators $n_i$.

Solved by gpt-5.6-sol high.