Yıl: 2021 Cilt: 0 Sayı: 372 Sayfa Aralığı: 92 - 100 Metin Dili: İngilizce DOI: 10.33724/zm.948879 İndeks Tarihi: 29-07-2022

Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?

Öz:
In this study, Wilks’ Λ (W), Hotelling-Lawley Trace (H) andPillai’s Trace (P) tests which are used in testing of statisticallysignificance for canonical correlation coefficients werecompared in terms of actual type I error rate. As a result of10000 simulation experiments conducted, when samples weretaken from multivariate distributions which are normal anddeviate slightly or moderately from normality, the W test wasconservative in terms of protecting actual type I error rate inall cases. However, when there is excessively deviate fromnormality, actual type I error rates for the W test exceededthe upper limit of Bradley’s criterion (4.50-5.50%) almost inall cases. On the other hand, the H test and P test generallyobtained actual type I error rates which were outside Bradleylimits.
Anahtar Kelime: type I error rate Monte Carlo simulation Wilks’ Λ Hotelling-Lawley Trace Pillai’s Trace

Kanonik Korelasyon Katsayılarının İstatistiksel Önemliliğini Test Etmek için Hangi Test Daha Güvenilirdir?

Öz:
Bu çalışmada, kanonik korelasyon katsayılarının istatistiksel olarak önemlilik testinde kullanılan Wilks’ Λ (W), HotellingLawley Trace (H) ve Pillai’s Trace (P) testleri gerçek tip I hata oranı açısından karşılaştırılmıştır. Yapılan 10000 simülasyon deneyi sonucunda, normal olan ve normallikten hafif veya orta derecede sapan çok değişkenli dağılımlardan örnekler alındığında, W testi gerçek tip I hata oranını tüm durumlarda koruma açısından muhafazakar olmuştur. Ancak normallikten aşırı derecede sapma olduğunda, W testi için gerçek tip I hata oranları hemen hemen tüm durumlarda Bradley kriterinin üst sınırını (%4,50- 5,50) aşmıştır. H testi ve P testi ise genel olarak Bradley sınırlarının dışında kalan gerçek tip I hata oranları elde etmiştir
Anahtar Kelime:

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APA ALTAY Y, Yiğit S (2021). Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. , 92 - 100. 10.33724/zm.948879
Chicago ALTAY Yasin,Yiğit Soner Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. (2021): 92 - 100. 10.33724/zm.948879
MLA ALTAY Yasin,Yiğit Soner Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. , 2021, ss.92 - 100. 10.33724/zm.948879
AMA ALTAY Y,Yiğit S Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. . 2021; 92 - 100. 10.33724/zm.948879
Vancouver ALTAY Y,Yiğit S Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. . 2021; 92 - 100. 10.33724/zm.948879
IEEE ALTAY Y,Yiğit S "Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?." , ss.92 - 100, 2021. 10.33724/zm.948879
ISNAD ALTAY, Yasin - Yiğit, Soner. "Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?". (2021), 92-100. https://doi.org/10.33724/zm.948879
APA ALTAY Y, Yiğit S (2021). Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. Ziraat Mühendisliği, 0(372), 92 - 100. 10.33724/zm.948879
Chicago ALTAY Yasin,Yiğit Soner Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. Ziraat Mühendisliği 0, no.372 (2021): 92 - 100. 10.33724/zm.948879
MLA ALTAY Yasin,Yiğit Soner Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. Ziraat Mühendisliği, vol.0, no.372, 2021, ss.92 - 100. 10.33724/zm.948879
AMA ALTAY Y,Yiğit S Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. Ziraat Mühendisliği. 2021; 0(372): 92 - 100. 10.33724/zm.948879
Vancouver ALTAY Y,Yiğit S Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?. Ziraat Mühendisliği. 2021; 0(372): 92 - 100. 10.33724/zm.948879
IEEE ALTAY Y,Yiğit S "Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?." Ziraat Mühendisliği, 0, ss.92 - 100, 2021. 10.33724/zm.948879
ISNAD ALTAY, Yasin - Yiğit, Soner. "Which Test is More Reliable for The Testing Statistical Significance of Canonical Correlation Coefficients?". Ziraat Mühendisliği 372 (2021), 92-100. https://doi.org/10.33724/zm.948879