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A general score-independent test for order-restricted inference
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics. Karolinska Inst, Dept Med Epidemiol & Biostat, Stockholm, Sweden.ORCID iD: 0000-0001-7995-3047
Uppsala University, Disciplinary Domain of Medicine and Pharmacy, Medicinska och farmaceutiska vetenskapsområdet, centrumbildningar mm, UCR-Uppsala Clinical Research Center.
2018 (English)In: Statistics in Medicine, ISSN 0277-6715, E-ISSN 1097-0258, Vol. 37, no 21, p. 3078-3090Article in journal (Refereed) Published
Abstract [en]

In the analysis of ordered categorical data, the categories are often assigned a set of subjectively chosen order-restricted scores. To overcome the arbitrariness involved in the assignment of the scores, several score-independent tests have been proposed. However, these methods are limited to 2 x K contingency tables, where K is the number of ordered categories. We present an efficiency robust score-independent test that is applicable to more general situations. The test is embedded into a flexible framework for conditional inference and provides a natural generalization of many familiar tests involving ordered categorical data, such as the generalized Cochran-Mantel-Haenszel test for singly or doubly ordered contingency tables, the Page test for randomized block designs and the Tarone-Ware trend test for survival data. The proposed method is illustrated by several numerical examples.

Place, publisher, year, edition, pages
2018. Vol. 37, no 21, p. 3078-3090
Keywords [en]
conditional inference, efficiency robustness, ordered categorical data, scores, score-independent test
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-362629DOI: 10.1002/sim.7690ISI: 000441861400004PubMedID: 29888481OAI: oai:DiVA.org:uu-362629DiVA, id: diva2:1254136
Available from: 2018-10-08 Created: 2018-10-08 Last updated: 2018-10-08Bibliographically approved

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Winell, HenricLindbäck, Johan

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