Coefficients of Association Analogous to Pearson's r for nonparametric Statistics
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Gordon R. Stavig
Alan C. Acock
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Educational and Psychological Measurement
Abstract
The rz and rp coefficients of association are discussed. Both coefficients, like Pearson's r, are based on a z/z max framework. They yield coefficients directly comparable for all levels of measurement being based on an obtained/maximum departure from independence in z units interpretation. The r z coefficient can be applied to any nonparametric test statistic in which a normal approximation equation is appropriate. The rp coefficient is applicable to any nonparametric test statistic in which exact probabilities are known.
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Stavig, G. R., & Acock, A. C. (1980). Coefficients of Association Analogous to Pearson's r for nonparametric Statistics. Educational and Psychological Measurement, 40(3), 679-685. doi: 10.1177/001316448004000311