Selecting Statistics  


Statistical Test

Somers' d

Statistical Measure

For N greater than 10, refer the critical ratio of S to a table of the unit normal curve; for N less than or equal to 10, refer d to a table of critical values of S.

Notes

Somer's D: Somers, R. H. A new asymmetric measure of association for ordinal variables. American Sociological Review 27 (1962): 799-811.

Critical Ratio of S: Kendall, M. G. Rank Correlation Methods. Fourth edition. London: Griffin, 1970. p.52

Standard Error of S assuming ties: Kendall, M. G. Rank Correlation Methods. Fourth edition. London: Griffin, 1970. p. 55

Table of critical values of S assuming ties: Harshbarger, T. R. Introductory Statistics: A Decision Map. New York: Macmillan, 1971. p. 535

Somer's d:

SPSS: CROSSTABS

SAS: FREQ

Critical ratio of S:

SPSS: CROSSTABS, NONPAR CORR

SAS: FREQ