Ordinal Measures of Association and Forms of Hypotheses

Tai S. Kang

doi:10.1111/j.1533-8525.1973.tb00856.x

Ordinal Measures of Association and Forms of Hypotheses

Tai S. Kang

Sociology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper suggests a new way of applying “Proportional‐Reductions‐in‐Error” related measures (i.e., Gamma, d_yx, d_xy, 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.

Original language	English
Pages (from-to)	235-248
Number of pages	14
Journal	Sociological Quarterly
Volume	14
Issue number	2
DOIs	https://doi.org/10.1111/j.1533-8525.1973.tb00856.x
State	Published - Mar 1973

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AB - 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.

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Ordinal Measures of Association and Forms of Hypotheses

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