Journals / Gazi University Journal of Science / 2005 / Volume: 18 Issue: 2

AN ALTERNATIVE RANK CORRELATION COEFFICIENT WİTH GRAPHICAL APPROXIMATION

GRAFİKSEL YAKLAŞIMLA ALTERNATİF BİR SIRA KORELASYON KATSAYISI

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Publication Date
2010-08-13
DOI
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AI Summary & Key Takeaways

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

Furthermore, the critical values of v correlation coefficient are obtained for different significance levels and these values are presented in a table.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, a rank correlation coefficient (v) proposed by Blest(2000), which does not require normality assumption in hypothesis testing of correlation coefficient for interval level or ratio scaled measured variables, is introduced.
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Key Findings & Data:This rank correlation coefficient, which is examined based on graphical presentation and their comments, has a structure, which considers the interchanges in the early ranking of the data.
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Conclusion & Impact:Furthermore, the critical values of v correlation coefficient are obtained for different significance levels and these values are presented in a table.
🔬Design:Research Article
📍Scope:2000 Verileri
⚙️Variables:Key Words: Ranks · Kendall’s τ rank correlation coefficient · Spearman’s ρ rank correlation coefficient

Abstract

In this study, a rank correlation coefficient (v) proposed by Blest(2000), which does not require normality assumption in hypothesis testing of correlation coefficient for interval level or ratio scaled measured variables, is introduced. This rank correlation coefficient, which is examined based on graphical presentation and their comments, has a structure, which considers the interchanges in the early ranking of the data. When the sample size is five this introduced v rank correlation coefficient is considered and it has showed that it is more advantageous compared to other rank correlation coefficients since it gives different results even if for small changes in ranking. Furthermore, the critical values of v correlation coefficient are obtained for different significance levels and these values are presented in a table.

Özet

Bu çalışmada, iki değişkenin eşit aralıklı yada oranlama düzeyinde ölçüldüğü durumda, korelasyon katsayısına ilişkin hipotez testlerinde normal dağılım varsayımına ihtiyaç duymayan Blest(2000)’in önerdiği sıra korelasyon katsayısı(v) tanıtılmıştır. Bu katsayı, grafiksel gösterime ve bu grafiğin yorumlanmasına dayalı olup, sıralamalardaki ilk yer değişikliklerini önemseyen bir yapıya sahiptir. Tanıtılan v sıra korelasyon katsayısı, örnek çapı 5 iken incelenmiş ve mevcut sıra korelasyon katsayıları ile karşılaştırılarak, sıralamalardaki küçük yer değişikliklerinde bile farklı sonuçlar vermesi sebebiyle, daha avantajlı olduğu gösterilmiştir. Ayrıca farklı anlamlılık düzeyleri için v katsayısına ilişkin kritik değerler bulunarak tablo halinde verilmiştir

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Cite This Article

Özdemir, Y. A., Ekiz, M. (2010). AN ALTERNATIVE RANK CORRELATION COEFFICIENT WİTH GRAPHICAL APPROXIMATION. Gazi University Journal of Science, Volume: 18 Issue: 2. https://ajindex.com/articles/1270120

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