Teacher’s Corner: A Note on Modified Rank Correlation

Donald W. Zimmerman

Journal of Educational and Behavioral Statistics, 1994, vol. 19, issue 4, 357-362

Abstract: The Spearman rank correlation method separately assigns ranks to sample values of each of two variables, X and Y, and substitutes squared differences between the ranks into a computational formula derived from Pearson correlation. The present note examines an alternate procedure which separately transforms the X and Y values to standard scores, ranks the combined standard scores in a single sequence, and calculates the Pearson correlation between the ranks corresponding to the initial scores. A simulation study reveals that significance tests of correlation based on this method effectively control Type I and Type II error probabilities and are slightly more powerful than the Spearman method for normal and various nonnormal distributions and for sample sizes ranging from 8 to 30. This note discusses some advantages of the modified procedure.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:19:y:1994:i:4:p:357-362

DOI: 10.3102/10769986019004357

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