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Significance Testing of Correlation Using Scores, Ranks, and Modified Ranks

Carleton University

Bruno D. Zumbo

University of Ottawa

A computer simulation study compared significance tests of correlation coefficients calculated from initial scores, from ranks assigned by the Spearman method, and from three kinds of modified ranks in which N sample values were replaced by N12, N/3, and N14 integers. Tests based on the initial scores are more powerful than those based on the various ranks for normal distributions, whereas the reverse is true for mixed-normal, exponential, and Cauchy distributions. Probabilities of Type I and Type II errors are unaffected by reduction in the number of ranks. Implications of these findings for the notion that rank correlation is a nonparametric correlation method are discussed.

Educational and Psychological Measurement, Vol. 53, No. 4, 897-904 (1993)
DOI: 10.1177/0013164493053004003


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