A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design
Yıl: 2016 Cilt: 20 Sayı: 3 Sayfa Aralığı: 391 - 398 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022
A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design
Öz: Bu makalede, blok içinde bağımlı ölçümler içeren rasgele bloklar için Jonckheere testine dayalı yeni bir test sunulmuştur. Jonckheere tarafından önerilen ağırlıksız toplam yerine her blok istatistiği için ağırlıklı toplam dahil edilmiştir. Jonckheere tipi istatistikler için ana varsayım blok içi gözlemlerin bağımsız olmasıdır. Tekrarlı ölçümler tasarımı durumunda, bağımsızlık varsayımı bozulur. Tasarımdaki her bloğun sıralı alternatif hipotez yapısına dayalı durumu ve farklı varyans-kovaryans yapılarının bağımlılık durumları için ağırlıklı Jonckhere tipi test istatistiği kullanılmıştır. Ayrıca, önerilen istatistik Jonckheere testine dayalı var olan test ile Monte Carlo simulasyonu yoluyla 1. Tip hata oranları bakımından karşılaştırılmıştır. Güçlü korelasyonlarda, önerilen Jonckheere testinin döngüsel bootstrap versiyonu daha düşük 1. Tip hata oranı sağlamıştır
Anahtar Kelime: Tekrarlı Ölçümler Tasarımında Sıralı Alternatifler için Uyarlanmış Jonckheere Test İstatistiği
Öz: 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
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Akdur H, GÖKPINAR F, BAYRAK H, GÖKPINAR E (2016). A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. , 391 - 398. |
| Chicago | Akdur Hatice Tül Kübra,GÖKPINAR Fikri,BAYRAK Hülya,GÖKPINAR Esra A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. (2016): 391 - 398. |
| MLA | Akdur Hatice Tül Kübra,GÖKPINAR Fikri,BAYRAK Hülya,GÖKPINAR Esra A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. , 2016, ss.391 - 398. |
| AMA | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. . 2016; 391 - 398. |
| Vancouver | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. . 2016; 391 - 398. |
| IEEE | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E "A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design." , ss.391 - 398, 2016. |
| ISNAD | Akdur, Hatice Tül Kübra vd. "A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design". (2016), 391-398. |
| APA | Akdur H, 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, 20(3), 391 - 398. |
| Chicago | Akdur Hatice Tül Kübra,GÖKPINAR Fikri,BAYRAK Hülya,GÖKPINAR Esra A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20, no.3 (2016): 391 - 398. |
| MLA | Akdur Hatice Tül Kübra,GÖKPINAR Fikri,BAYRAK Hülya,GÖKPINAR Esra A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.20, no.3, 2016, ss.391 - 398. |
| AMA | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 20(3): 391 - 398. |
| Vancouver | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 20(3): 391 - 398. |
| IEEE | Akdur H,GÖKPINAR F,BAYRAK H,GÖKPINAR E "A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design." Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20, ss.391 - 398, 2016. |
| ISNAD | Akdur, Hatice Tül Kübra vd. "A Modified Jonckheere Test Statistic for Ordered Alternatives in Repeated Measures Design". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (2016), 391-398. |
