On some sample size formulae for controlling both size and power in clinical trials.
Liu, W. (1997) On some sample size formulae for controlling both size and power in clinical trials. Journal of the Royal Statistical Society: Series D (The Statistician), 46, (2), 238-251. (doi:10.1111/1467-9884.00080).
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Suppose that observations are taken from a population with normal distribution N(μ, σ2) where both μ and σ2 are unknown parameters. Our goal is to design a two-sided test of H0: μ = 0 against Ha: μ≠ 0 which has, at least approximately, size α and power β at |μ| = d> 0, where α, β and d are three preassigned constants. The classical solution is Stein's two-stage procedure, which tends to oversampling, however. Three new procedures are proposed and studied in this paper. They all have both size and power very close to the target values α and β and require only a few more observations than the necessary sample size to achieve our goal if σ2 had been completely known.
|Digital Object Identifier (DOI):||doi:10.1111/1467-9884.00080|
|Subjects:||H Social Sciences > HA Statistics
R Medicine > R Medicine (General)
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Statistics
|Date Deposited:||14 Mar 2007|
|Last Modified:||24 Sep 2015 09:16|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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