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
Software: Somer's d: | SPSS: CROSSTABS | SAS: FREQ | Critical ratio of S: | SPSS: CROSSTABS, NONPAR CORR | SAS: FREQ
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
Software: Somer's d: | SPSS: CROSSTABS | SAS: FREQ | Critical ratio of S: | SPSS: CROSSTABS, NONPAR CORR | SAS: FREQ