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Solutions manual [to] Fundamentals of biostatistics

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264 pages, Unknown Binding

First published December 24, 1989

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Bernard Rosner

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March 19, 2021
Suppose we are planning a clinical trial and expect a 20% success rate in the active group
and a 10% success rate in the placebo group. We expect to enrol 100 participants in each
group and are interested in the power of the study.
(a) Perform a simulation study, and generate 100 participants from a binomial distribution
with p = 0:2 and 100 participants from a binomial distribution with p = 0:1. Test to
find out whether the observed sample proportion of successes is significantly different,
using a two-sided test with α = 0:05.
(b) Repeat the Problem (a) simulation 100 times, and compute the proportion of simulations
in which a significant difference is found (i.e., an estimate of the power of the study).
(c) What should the theoretical power be for the exercise in Problem (b)?
How do the estimated power and theoretical power compare?
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