login

Inversions and Rank Correlation Coefficients

Journal of the Royal Statistical Society Series B (Statistical Methodology)Published 1 July 1951
J. Durbin, A. Stuart
Citations80
SJR quartileQ1
SJR score3.31
SNIP2.48

Abstract

Summary A relation is developed between Spearman’s coefficient of rank correlation rs and the inversions in the two rankings. This leads to an expression for the mean value of rs in samples from a finite population, and to the improvement of Daniels’ inequality relating rs and Kendall’s coefficient t.

Keywords

MathematicsDecision Sciences