Statistical Test: Somers' d
Notes: 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 Median test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 111 Mann-Whitney U: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 116 Kolmogorov-Smirnov: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 127 runs test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 136 Somers' d and Critical Ratio of S:
Software: if N>10 refer critical ratio of S to unit normal table; | if N | also • Median test; • Mann-Whitney U test; • Kolmogorov-Smirnov two sample; • runs test | Notes | 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 | Median test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 111 | Mann-Whitney U: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 116 | Kolmogorov-Smirnov: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 127 | runs test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 136 | Somers' d and Critical Ratio of S: | SPSS: CROSSTABS
Notes: 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 Median test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 111 Mann-Whitney U: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 116 Kolmogorov-Smirnov: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 127 runs test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 136 Somers' d and Critical Ratio of S:
Software: if N>10 refer critical ratio of S to unit normal table; | if N | also • Median test; • Mann-Whitney U test; • Kolmogorov-Smirnov two sample; • runs test | Notes | 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 | Median test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 111 | Mann-Whitney U: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 116 | Kolmogorov-Smirnov: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 127 | runs test: Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. p. 136 | Somers' d and Critical Ratio of S: | SPSS: CROSSTABS