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

Abstract

In this study, Wilks' Λ (W), Hotelling-Lawley Trace (H) and Pillai's Trace (P) tests which are used in testing of statistically significance for canonical correlation coefficients were compared in terms of actual type I error rate. As a result of 10000 simulation experiments conducted, when samples were taken from multivariate distributions which are normal and deviate slightly or moderately from normality, the W test was conservative in terms of protecting actual type I error rate in all cases. However, when there is excessively deviate from normality, actual type I error rates for the W test exceeded the upper limit of Bradley's criterion (4.50-5.50%) almost in all cases. On the other hand, the H test and P test generally obtained actual type I error rates which were outside Bradley limits.

Examination of Milk Samples, obtained from the Different Cattle breeds in the First Lactation, by Means of Discriminant Analysis

“…Canonic correlation measures the relationship between separation scores and groups and shows total variance explained (Altay and Yiğit, 2021). The square of this value expresses total variance, which separation function accounts for on the dependent variable.…”