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On non-parametric and generalized tests for the two-sample problem with location and scale change alternatives.

Authors
  • Podgor, M J
  • Gastwirth, J L
Type
Published Article
Journal
Statistics in medicine
Publication Date
Jan 01, 1994
Volume
13
Issue
5-7
Pages
747–758
Identifiers
PMID: 8023047
Source
Medline
License
Unknown

Abstract

Various tests have been proposed for the two-sample problem when the alternative is more general than a simple shift in location: non-parametric tests; O'Brien's generalized t and rank sum tests; and other tests related to the t. We show that the generalized tests are directly related to non-parametric tests proposed by Lepage. As a result, we obtain a wider, more flexible class of O'Brien-type procedures which inherit the level robustness property of non-parametric tests. We have also computed the tests' empirical sizes and powers under several models. The non-parametric procedures and the related O'Brien-type tests are valid and yield good power in the settings investigated. They are preferable to the t-test and related procedures whose type I errors differ noticeably from nominal size for skewed and long-tailed distributions.

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