Rank Correlation - General Correlation Coefficient

General Correlation Coefficient

Kendall (1944) showed that his tau and Spearman's rho are particular cases of a general correlation coefficient.

Suppose we have a set of objects, which are being considered in relation to two properties, represented by and, forming the sets of values and . To any pair of individuals, say the -th and the -th we assign a -score, denoted by, and a -score, denoted by . The only requirement made to this functions is anti-symmetry, so and . Then the generalised correlation coefficient is defined by

Read more about this topic:  Rank Correlation

Famous quotes containing the word general:

    An aristocratic culture does not advertise its emotions. In its forms of expression it is sober and reserved. Its general attitude is stoic.
    Johan Huizinga (1872–1945)