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Is the G Index a Correlation Coefficient?

Jan Vegelius

Open publisher page 5 citations

Abstract

For three different definitions of the correlation coefficient concept is examined whether the G index is a correlation coefficient or not. According to the Pearson definition it is not. However, it is equal to the Pearson coefficient, obtained from double scoring. The G index is shown to be a correlation coefficient according to the definition by Kendall. It is also shown to be an E-correlation coefficient.

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What this paper is about

For three different definitions of the correlation coefficient concept is examined whether the G index is a correlation coefficient or not. According to the Pearson definition it is not. However, it is equal to the Pearson coefficient, obtained from double scoring. The G index is shown to be a correlation coefficient according to the definition by Kendall. It is also shown to be an E-correlation coefficient.

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Available abstract

For three different definitions of the correlation coefficient concept is examined whether the G index is a correlation coefficient or not. According to the Pearson definition it is not. However, it is equal to the Pearson coefficient, obtained from double scoring. The G index is shown to be a correlation coefficient according to the definition by Kendall. It is also shown to be an E-correlation coefficient.

Key concepts: Correlation coefficient, Pearson product-moment correlation coefficient, Fisher transformation, Correlation ratio, Statistics, Correlation, Mathematics, Index (typography)

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