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

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 207 4 a
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The expected Treatment A deaths are 1/2 at month 1, 1/2 at month 2, and 3(2/6)=1 at the three tied deaths at month 5. Thus
EA​=2,OA​=3.
(1)
This is not half of the five deaths because right censoring changes the treatment proportions in successive risk sets. For Treatment B, OB​=2 and EB​=3. One observed-to-expected relative-risk estimate is therefore
OB​/EB​OA​/EA​​=2/33/2​=49​.
(2)

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