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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Pharmaceutical Stati...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Pharmaceutical Statistics
Article . 2006 . Peer-reviewed
License: Wiley Online Library User Agreement
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A note on the power of Fisher's least significant difference procedure

Authors: Ulrich, Meier;

A note on the power of Fisher's least significant difference procedure

Abstract

AbstractFisher's least significant difference (LSD) procedure is a two‐step testing procedure for pairwise comparisons of several treatment groups. In the first step of the procedure, a global test is performed for the null hypothesis that the expected means of all treatment groups under study are equal. If this global null hypothesis can be rejected at the pre‐specified level of significance, then in the second step of the procedure, one is permitted in principle to perform all pairwise comparisons at the same level of significance (although in practice, not all of them may be of primary interest). Fisher's LSD procedure is known to preserve the experimentwise type I error rate at the nominal level of significance, if (and only if) the number of treatment groups is three. The procedure may therefore be applied to phase III clinical trials comparing two doses of an active treatment against placebo in the confirmatory sense (while in this case, no confirmatory comparison has to be performed between the two active treatment groups). The power properties of this approach are examined in the present paper. It is shown that the power of the first step global test – and therefore the power of the overall procedure – may be relevantly lower than the power of the pairwise comparison between the more‐favourable active dose group and placebo. Achieving a certain overall power for this comparison with Fisher's LSD procedure – irrespective of the effect size at the less‐favourable dose group – may require slightly larger treatment groups than sizing the study with respect to the simple Bonferroni alpha adjustment. Therefore if Fisher's LSD procedure is used to avoid an alpha adjustment for phase III clinical trials, the potential loss of power due to the first‐step global test should be considered at the planning stage. Copyright © 2006 John Wiley & Sons, Ltd.

Keywords

Analysis of Variance, Clinical Trials as Topic, Biometry, Models, Statistical, Endpoint Determination, Research, Placebos, Clinical Trials, Phase III as Topic, Research Design, Data Interpretation, Statistical, Sample Size, Multivariate Analysis, Humans, Technology, Pharmaceutical

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
176
Top 1%
Top 1%
Top 10%
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