Confidence intervals and sample sizes.
In a recent paper, Beal (1989, Biometrics 45, 969-977) considers the problem of determining the appropriate sample size when inference about a parameter theta is to be made on the basis of a confidence interval (CI). He suggests that the sample size should be chosen so that the probability that the length of the CI is less than a given value, conditional on the interval including the true theta, is greater than a specified level. In this note, in which we concentrate on two-sided intervals, this suggestion is examined, as is the effect of uncertainty in our knowledge of the population variance sigma 2 on estimates of sample size.
Grieve
A P
AP
Safety of Medicines Department, ICI Pharmaceuticals, Macclesfield, Cheshire, United Kingdom.
D001699:Biometry; D002986:Clinical Trials as Topic / Q000706:statistics & numerical data*; D016001:Confidence Intervals; D006801:Humans; D011336:Probability; D012494:Sampling Studies