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A Note on Analyzing Ordered Alternatives

Published online by Cambridge University Press:  01 January 2025

Ruth Marcus
Ruth Marcus*
Affiliation:
Tel-Aviv University
*
Requests for reprints should be sent to Ruth Marcus, Department of Statistics, Tel-Aviv University, Ramat-Aviv, Israel.
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Abstract

A general method of devising stepwise multiple testing procedures with fixed experimentwise error is applied to the problem of non-parametric randomized block design with ordered alternatives. In addition, the method is applied to other models with ordered alternatives.

Keywords

closed testing proceduresmultiple comparisonsnon-parametric randomized block designordered alternatives
Type
Notes and Comments
Information
Psychometrika , Volume 43 , Issue 1 , March 1978 , pp. 133 - 139
Copyright
Copyright © 1978 The Psychometric Society

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Footnotes

The author wishes to thank the referees for helpful suggestions.

References

Chacko, V. J. Testing homogeneity against ordered alternatives. Annals of Mathematical Statistics, 1963, 34, 945–956.CrossRefGoogle Scholar
Hettmansperger, T. P. Non-parametric inference for ordered alternatives in randomized block design. Psychometrika, 1975, 40, 53–62.CrossRefGoogle Scholar
Jonckheere, A. R. A distribution-free k-sample test against ordered alternatives. Biometrika, 1954, 41, 133–145.CrossRefGoogle Scholar
Marcus, R., Peritz, E. & Gabriel, K. R. On closed testing procedures with special reference to ordered analysis of variance. Biometrika, 1976, 63, 655–660.CrossRefGoogle Scholar
Page, E. B. Ordered hypotheses for multiple treatments: A significance test for linear ranks. Journal of the American Statistical Association, 1963, 58, 216–230.CrossRefGoogle Scholar
Shorack, G. R. Testing against ordered alternatives in model I analysis of variance; normal theory and non-parametric. Annals of Mathematical Statistics, 1967, 38, 1740–1753.CrossRefGoogle Scholar
Terpstra, T. J. The asymptotic normality and consistency of Kendall's test against trend when ties are present in one ranking. Indagationes Mathematicae, 1952, 14, 327–333.CrossRefGoogle Scholar