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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chacko, V. J. Testing homogeneity against ordered alternatives.Annals of Mathematical Statistics, 1963,34, 945–956.
Hettmansperger, T. P. Non-parametric inference for ordered alternatives in randomized block design.Psychometrika, 1975,40, 53–62.
Jonckheere, A. R. A distribution-free k-sample test against ordered alternatives.Biometrika, 1954a,41, 133–145.
Marcus, R., Peritz, E. & Gabriel, K. R. On closed testing procedures with special reference to ordered analysis of variance.Biometrika, 1976,63, 655–660.
Page, E. B. Ordered hypotheses for multiple treatments: A significance test for linear ranks.Journal of the American Statistical Association, 1963,58, 216–230.
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.
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.
Author information
Authors and Affiliations
Additional information
The author wishes to thank the referees for helpful suggestions.
Rights and permissions
About this article
Cite this article
Marcus, R. A note on analyzing ordered alternatives. Psychometrika 43, 133–139 (1978). https://doi.org/10.1007/BF02294102
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02294102