SIRALANABİLİR KARESEL OLUMSALLIK TABLOLARINDA YARI TEKDÜZE İLİŞKİ MODELİNDEN SAPMA

Tekdüze İlişki ve Yarı Tekdüze İlişki modelleri, sıralanabilir düzeylere sahip iki yönlü karesel olumsallık tablolarının çözümlemesinde kullanılır. Yarı tekdüze ilişki modeline uyum sağlanmadığı durumda modelden ayrılışın derecesi ölçülmek istenebilir. Modelden ayrılış miktarları güç sapma istatistikleri kullanılarak hesaplanır. Bu çalışmada, literatürde yer alan ölçme kriterlerine alternatif olarak, yarı tekdüze ilişki modelinden ayrılış derecesini tahmin etmek amacıyla, yeni bir ölçme kriteri önerilmiştir. Önerilen ölçme kriteri, farklı R×R tabloların modelden sapma miktarlarını karşılaştırma imkanı da sağlamaktadır. Ölçme kriterleri benzetim çalışması karşılaştırılmış ve üç yardımsız uzak görüş verisi ile karşılaştırılmıştır.

DEPARTURE FROM QUASI-UNIFORM ASSOCIATION MODEL IN ORDERED SQUARE CONTINGENCY TABLES

The Uniform Association (UA) and Quasi-Uniform Association (QUA) models are used for analysis of two-way square contingency tables with ordered categories. When the QUA model does not fit the data, one wants to measure the degree of departure from the quasi-uniform association model. The degree of the departure from the model is calculated by usingthe power divergence statistics. In this study, as an alternative to measures in the literature, a measure to estimate the degree of departure from the QUA model is suggested. This suggested measure allows us to compare the several R×R tables in terms of the departure from the model. The measures are compared by the simulation study and discussed by three unaided distance vision data.

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