Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 1, pp. 59--66

CONDITIONS FOR RANK CORRELATION TO BE ZERO

By

E. I. MARSHALL, *University of Bradford*

SUMMARY. Given two rankings of n objects, necessary and sufficient conditions are derived in this paper relating to the value of n for it to be possible for the correlation between the two rankings to be zero. This correlation is measured, in turn, by each of three different coefficients, namely Spearman’s ‘foot-rule’ coefficient, the general product moment correlation coefficient (normally known as Spearman’s rank correlation coefficient), and Kendall’s rank correlation coefficient.

*AMS (1980) subject classification.* 62J.

*Key words and phrases.* Rankings, rank correlation.