Selecting Statistics  


Statistical Test

• Omega-Squared

•Intraclass Correlation Coefficient

• Kelley's epsilon

Statistical Measure

F test

Notes

If the nominal variable is a two-point scale, the t-test is an alternative (because in such cases, F = t-squared).

Omega-squared: Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973. p. 484

Intraclass correlation: Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973. p. 535

Kelley's epsilon: Kelley, T. L. An unbiased correlation ratio measure. Proceedings of the National Academy of Sciences 21 (1935): 554-559.; Glass, G. V., and Hakstian, A. R. Measures of association in comparative experiments: their development and interpretation. American Educational Research Journal 6 (1969): 403-414.

F-test for all of the above: Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973. p. 471

Omega -squared: SAS: GLM, ANOVA

Intraclass correlation: SAS: GLM, ANOVA

F-test for omega squared, intraclass correlation and Kelley's epsilon: SPSS: BREAKDOWN, ANOVA

SAS: GLM, ANOVA