A class of distribution-free tests for testing homogeneity against ordered alternatives
type: Item
instance of: scholarly article
title: A class of distribution-free tests for testing homogeneity against ordered alternatives
zbMATH Open document ID: 0632.62043
DOI: 10.1016/0167-7152(88)90070-3
author: B. George
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: A class of distribution-free tests for homogeneity of several populations against ordered alternatives is proposed. These are particularly useful when testing time is expensive so that an early termination of an experiment is desirable. The Pitman efficacy is derived and the optimal member of the class, the one with maximum efficacy, is identified. This optimal test is then compared with some other popular tests in terms of the asymptotic relative efficiency. A modification of the proposed test is considered when no additional information about the alternatives is available so that the optimal test can not be used. The modified test is compared to the optimal test through asymptotic relative efficiency.
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 4028639
zbMATH Keywords: distribution-free tests for homogeneity of several populations
zbMATH Keywords: ordered alternatives
zbMATH Keywords: early termination
zbMATH Keywords: Pitman efficacy
zbMATH Keywords: optimal test
zbMATH Keywords: asymptotic relative efficiency
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90070-3
OpenAlex ID: W1978842303
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description: scientific article; zbMATH DE number 4028639