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A Comparison of Several k Sample Tests for Ordered Alternatives in Completely Randomized Designs

Published online by Cambridge University Press:  01 January 2025

Mark L. Berenson
Mark L. Berenson*
Affiliation:
Baruch College, Cuny
*
Requests for reprints should be sent to Mark L. Berenson, Department of Statistics and Computer Information Systems, Baruch ColIege-CUNY, 17 Lexington Avenue, New York City, New York 10010.
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Abstract

The importance of appropriate test selection for a given research endeavor cannot be overemphasized. Using samples drawn from eleven populations (differing in shape, peakedness, and density in the tails), this study investigates the small sample empirical powers of nine k-sample tests against ordered location alternatives under completely randomized designs. The results then are intended to aid the researcher in the selection of a particular procedure appropriate for a given endeavor. To highlight this an industrial psychology application involving work productivity is presented.

Keywords

Monte Carlo studypowerrobustnessk-sample testsordered alternatives
Type
Original Paper
Information
Psychometrika , Volume 47 , Issue 3 , September 1982 , pp. 265 - 280
Copyright
Copyright © 1982 The Psychometric Society

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Footnotes

Research was supported in part by the Scholastic Assistance Program, Baruch College. The author wishes to thank Professors Matthew Goldstein, Shulamith Gross, David Levine, and Edward Wolf for their helpful comments when writing this paper. In addition, the author wishes to thank the referees and editor for their useful suggestions for improving the paper.

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