On choosing the appropriate measure of association when analyzing rating scale data |
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Authors: | Emin Babakus Carl E Ferguson |
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Institution: | (1) Present address: Memphis State University, Memphis, USA;(2) Present address: University of Alabama, Birmingham, USA |
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Abstract: | This paper reviewed the current state of the literature on the appropriateness of various correlation measures when data are
ordinal. Emphasis was on the use of these measures as input to multivariate analysis. Based on the review, four correlation
indexes were further studied via a simulation design. The simulation results indicated that the polychoric correlation outperformed
product-moment, Spearman’s rho and Kendall’s tau-b measures on the basis of bias and squared error criteria. The present study
suggests that the chapter investigating pairwise correlations may be closed and attention may now be directed towards non-normal
data and actual multivariate analysis with correlation matrices. |
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Keywords: | |
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