This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Southwood, K. E. Search for Related Content Social Bookmarking                         What's this?

Goodman and Kruskal's Tau-b as Correlation Ratio

Some Implications

University of Illinois at Urbana-Champaign

It is shown that Goodman and Kruskal's Tau-b, a PRE coefficient of association between two nominal variables, is a more general form of the correlation ratio. Deriving from this, it is shown that similar correlation ratios can be derived for relationships between independent ordinal and interval variables and a dependent nominal variable. It is suggested that this makes it possible to express the relationship between any variable at any level of measurement-nominal, ordinal, or interval-in terms of linear equations and correlation ratios, and that this provides a useful and conceptionally parsimonious technique for practitioners. It also opens the way to greater flexibility in multivariate analysis using variables at different levels of measurement.

Sociological Methods & Research, Vol. 3, No. 1, 82-110 (1974)
DOI: 10.1177/004912417400300104


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?