Inadmissibility of some tests for order-restricted alternatives

Arthur Cohen; H. B. Sackrowitz

doi:10.1016/0167-7152(94)00161-Z

Inadmissibility of some tests for order-restricted alternatives

Arthur Cohen, H. B. Sackrowitz

School of Arts and Sciences, Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Lee (1987) proposes four test statistics for testing homogeneity of multinomial parameters against an order-restricted alternative. We show that two of the four tests are often not monotone in some direction dictated by the ordered alternative. In such cases, oftentimes the tests based on these statistics are inadmissible. In fact, for the simple order alternative two of the four tests are inadmissible for most sample sizes and most test sizes.

Original language	English (US)
Pages (from-to)	153-156
Number of pages	4
Journal	Statistics and Probability Letters
Volume	24
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(94)00161-Z
State	Published - Aug 1 1995

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

Complete classes
Cone order
Monotone
Projections
Simple order
Simple tree order
Umbrella order

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10.1016/0167-7152(94)00161-Z

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AB - Lee (1987) proposes four test statistics for testing homogeneity of multinomial parameters against an order-restricted alternative. We show that two of the four tests are often not monotone in some direction dictated by the ordered alternative. In such cases, oftentimes the tests based on these statistics are inadmissible. In fact, for the simple order alternative two of the four tests are inadmissible for most sample sizes and most test sizes.

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KW - Monotone

KW - Projections

KW - Simple order

KW - Simple tree order

KW - Umbrella order

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ER -

Inadmissibility of some tests for order-restricted alternatives

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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