 Rank tests for the Latin square designG. C. Livingston Jr and J.C.W. Rayner Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 11, 3200-3213 Abstract: A rank test for Latin square data is derived. Forms are given for when there are no ties, for when ties occur and mid-ranks are used, and for when ties occur in general. These adjustments are akin to those for the Kruskal-Wallis, Friedman, and Durbin tests. Since substantial block effects may affect ranking, alignment is recommended. The ANOVA F test on the ranks, the rank transform test, is a competitor test. We designate this test, where the data are aligned before ranking, the FART test. The proposed test, implemented as a permutation test, is designated the permutation aligned RL test: the PARL. We also give an approximation to the sampling distribution using the χ2 distribution, and call this test the CARL. An indicative simulation study assuming the usual parametric model and testing the null hypothesis that the treatment parameter is zero shows that the CARL, PARL, FART, and the F test on the raw data all control their type I errors well and have comparable powers. Date: 2025 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:54:y:2025:i:11:p:3200-3213 Ordering information: This journal article can be ordered from DOI: 10.1080/03610926.2024.2387249 Access Statistics for this article Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals |
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