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Educational and Psychological Measurement
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Phi/Phimax: Review and Synthesis

Ernest C. Davenport, Jr.

Department of Educational Psychology, University of Minnesota

Nader A. El-Sanhurry

Department of Educational Psychology, University of Minnesota

This paper explores the phimax adjustment to phi. It shows phi/phimax to be a measure of relationship apart from its affiliation with phi. The adjustment when the variables are inversely related, phimin, is also considered. Next is a discussion of the relation between phi/phimax and kappa. The article ends with an analytical look at phi/phimax. Some findings of this exploration are: phi/phimax is an asymmetrical, equal-interval step function with ties to probability. Finally, phi/phimax is shown to be nonrobust in situations where it should be most useful.

Educational and Psychological Measurement, Vol. 51, No. 4, 821-828 (1991)
DOI: 10.1177/001316449105100403
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