A sequential elimination procedure for choosing the best population(s) based on multiple testing
type: Item
instance of: scholarly article
title: A sequential elimination procedure for choosing the best population(s) based on multiple testing
zbMATH Open document ID: 0666.62079
DOI: 10.1016/0378-3758(89)90008-6
author: S. H. Smith
published in: Journal of Statistical Planning and Inference
publication date: 1989-01-01T00:00:00Z
review text: A general sequential procedure for the elimination of inferior elements from a set of m populations is proposed. The procedure consists of applying simultaneously all pairwise comparisons. A population is eliminated, when it is rejected as being inferior in an appropriate individual test, e.g. in a repeated significance test. The \(\alpha\)-level for the individual tests can be enlarged after the elimination of a population. Under fairly general conditions, the procedure controls the probability of erroneously eliminating at least one of the best populations, irrespective of how many populations are the best ones. The procedure can be improved considerably, if only one best population is known to exist, or the set of populations not having been eliminated should contain at least one (but not necessarily all) of the best populations with probability 1-\(\alpha\).
Mathematics Subject Classification ID: 62L10
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62F07
zbMATH DE Number: 4090628
zbMATH Keywords: multiple testing
zbMATH Keywords: sequential elimination procedures
zbMATH Keywords: pairwise comparisons
zbMATH Keywords: repeated significance test
zbMATH Keywords: elimination of a population
MaRDI profile type: Publication
full work available at URL: 0378-3758(89)90008-6
OpenAlex ID: W2070418106
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description: scientific article; zbMATH DE number 4090628