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A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design

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dc.creator AKDUR, Hatice Tül Kübra
dc.creator GÖKPINAR, Fikri
dc.creator BAYRAK, Hülya
dc.creator GÖKPINAR, Esra
dc.date 2016-09-08T00:00:00Z
dc.date.accessioned 2019-07-09T11:59:47Z
dc.date.available 2019-07-09T11:59:47Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/27060/284754
dc.identifier 10.19113/sdufbed.73024
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46469
dc.description In this article, a new test based on Jonckheere test [1] for  randomized blocks which have dependent observations within block is presented. A weighted sum for each block statistic rather than the unweighted sum proposed by Jonckheereis included. For Jonckheere type statistics, the main assumption is independency of observations within block. In the case of repeated measures design, the assumption of independence is violated. The weighted Jonckheere type statistic for the situation of dependence for different variance-covariance structure and the situation based on ordered alternative hypothesis structure of each block on the design is used. Also, the proposed statistic is compared to the existing test based on Jonckheere in terms of type I error rates by performing Monte Carlo simulation. For the strong correlations, circular bootstrap version of the proposed Jonckheere test provides lower rates of type I error.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/267010
dc.source Volume: 20, Issue: 3 391-398 en-US
dc.source 1308-6529
dc.subject Repeated measures,Jonckheere test; Circular bootstrap; Type 1 error
dc.title A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design en-US
dc.type info:eu-repo/semantics/article


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