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A Note on the Derivation of Fisher's Transformation of the Correlation Coefficient

The American StatisticianPublished 1 August 1979
Alan Winterbottom
Citations34
SJR quartileQ1
SJR score0.78
SNIP1.50

Abstract

Abstract Fisher's transformation of the bivariate-normal correlation coefficient is usually derived as a variance-stabilizing transformation and its normalizing property is then demonstrated by the reduced skewness of the distribution resulting from the transformation. In this note the transformation is derived as a normalizing transformation that incorporates variance stabilization. Some additional remarks are made on the transformation and its uses.

Keywords

Mathematics