Somers' D

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In descriptive statistics, an asymmetric index of association, closely related to the gamma statistic, between an independent variable and a dependent variable measured on ordinal scales with ties allowed. If two pairs of scores are examined, they must either be concordant, in the sense that the one ranked higher than the other on the independent variable is also ranked higher than the other on the dependent variable, or discordant. Somers' D is defined as the difference between the number of concordant pairs and the number of discordant pairs divided by the total number of pairs not tied on the independent variable, and it ranges from −1 to +1. See also Kendall's tau. [Named after the US sociologist and statistician Robert Hough Somers (born 1929) who developed it in 1962]

Subjects: Psychology.

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