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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2016 / Cilt: 20 - Sayı: 3

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

HATİCE TÜL KÜBRA AKDUR
FİKRİ GÖKPINAR
HÜLYA BAYRAK
ESRA GÖKPINAR
Pages
391–398
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

For the strong correlations, circular bootstrap version of the proposed Jonckheere test provides lower rates of type I error.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, a new test based on Jonckheere test [1] for randomized blocks which have dependent observations within block is presented.
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Key Findings & Data: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.
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Conclusion & Impact:For the strong correlations, circular bootstrap version of the proposed Jonckheere test provides lower rates of type I error.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Repeated measures · Jonckheere test · Circular bootstrap

Özet

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.

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Cite This Article

AKDUR, H. T. K., GÖKPINAR, F., BAYRAK, H., GÖKPINAR, E. (2016). A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 3, 391–398. https://ajindex.com/articles/310592

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