Author/Authors :
AKDUR, Hatice Tül Kübra Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey , GÖKPINAR, Fikri Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey , BAYRAK, Hülya Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey , GÖKPINAR, Esra Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey
Title Of Article :
A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design
Abstract :
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.
NaturalLanguageKeyword :
Repeated measures , Jonckheere test , Circular bootstrap , Type 1 error
JournalTitle :
Journal Of Natural and Applied Sciences
