- Title
- Nonparametric Analysis of Balanced Incomplete Block Rank Data
- Creator
- Livingston, G. C.; Rayner, J. C. W.
- Relation
- Journal of Statistical Theory and Practice Vol. 16, Issue 4, no. 66
- Publisher Link
- http://dx.doi.org/10.1007/s42519-022-00287-3
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2022
- Description
- Traditional nonparametric analysis of balanced incomplete block rank data usually involves the Durbin test. Here we give an alternative adjustment for the Durbin statistic for when there are ties and mid-ranks are used. The adjusted Durbin statistic is shown to be simply related to the ANOVA F statistic on the ranks, so that the corresponding tests are, in a sense, equivalent. This means both are tests of equality of mean treatment ranks. A simulation study compares the size and power performances of the competing tests. We also apply the nonparametric ANOVA methodology to give tests for univariate moment effects and, when treatments are ordered, for bivariate moment effects. The latter includes umbrella tests.
- Subject
- cereal example; Durbin test; generalised correlation; Kruskal–Wallis test; mid-rank; nonparametric ANOVA
- Identifier
- http://hdl.handle.net/1959.13/1480646
- Identifier
- uon:50546
- Identifier
- ISSN:1559-8608
- Rights
- © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Language
- eng
- Full Text
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