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# Find Sample Size for Clinical Trial

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The Physician's Health Study was a randomized clinical trial, one of whose goals was to effect of cigarette smoking on the development of myocardial infarction preventing myocardial infarction (MI).

Suppose that the incidence of MI is 0.005 per year among subjects who are actually take placebo and that aspirin prevents 20% of MIs (i.e. relative risk=p1/p2=0.8). We also assume that the duration of the study is 5 years, and during study, there is neither drop out nor drop in.

How many subjects need to be enrolled in each group to achieve 80% power using two-sided test with significance level=0.05?

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ANSWER: 13,794 subjects need to be enrolled in each group.

The Physician's Health Study was a randomized clinical trial, one of whose goals was to assess the effect of aspirin in preventing myocardial infarction (MI). Suppose that the incidence of MI is 0.005 per year among subjects who are actually take placebo and that aspirin prevents 20% of MI's (i.e. relative risk=p1/p2=0.8). We also assume that the duration of ...

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## What is the power of each of the following studies, using a t test for dependent means (based on the .05 significance level)?

What is the power of each of the following studies, using a t test for dependent means (based on the .05 significance level)?

Answer by using the examples below:

Study Effect Size N Tails
(a) Small 20 One
(b) Medium 20 One
(c) Medium 30 One
(d) Medium 30 Two
(e) Large 30 Two

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