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Abstract
This paper suggests a new way of applying “Proportional-Reductions-in-Error” related measures (i.e., Gamma, dyx, dxy, and Kendall's Tau's) to link logical forms of hypotheses types of ordinal measures of association. First, the basic form of associations for ordinal data are examined. Second, the analytical properties of “P-R-E” related measures are investigated. Finally, it is proposed that “P-R-E” related measures be used in testing the logical form of the relationship between variables implied in a hypothesis.