In a <constant hazard survival model>, the <maximum-likelihood estimator> is the number of observed events divided by total <person-time at risk>. Treatment A contributes $3$ deaths in $1+2+3+3+5=14$ months, while Treatment B contributes $2$ deaths in $1+5+5+7+10=28$ months. Hence
$$
\widehat h_A=\frac3{14},
\qquad
\widehat h_B=\frac2{28}=\frac1{14},
\qquad
\widehat{\operatorname{HR}}=3.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 207 / 4 / b / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-207/4/b/solution