Past exam of the mathematics course of the University of Cambridge 2007 iii Paper 46 2 b Solution Created 2026-10-03 Updated 2026-10-14
Use the assumed 30% risk reduction for recipients and one-to-one transfers to distinct participants in the equal-sized opposite arm. Receipt fractions become 80% under intervention assignment and 20% under control assignment. ThusFor 30,000 participants per arm, the expected counts areThe original benefit per thousand becomes per thousand: symmetric treatment crossover attenuates a risk difference by . Expected counts still sum to 255, since intact transfers preserve the total number of recipients. These predictions assume unchanged receipt-specific risks and distinct control recipients. Loss, sharing or repeated transfers would require a different receipt model.