Association Coefficients of Identity and Proportionality for Metric Scales
- 1 March 1989
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 54 (1) , 93-104
- https://doi.org/10.1007/bf02294451
Abstract
Zegers' (1986) chance-corrected coefficients of association are derived by alternative methods. A different definition of chance correction is used. It is shown that our correction and that of Zegers are identical for large samples. Three possible assumptions for the derivation of metric coefficients are examined. The first, variable reflection, formulated by Zegers and ten Berge (1985), leads to coefficients that require chance-correction. Two other assumptions, zero covariance and covariance reflection, are proposed and it is shown that the latter two assumptions lead directly to coefficients of identity and proportionality that do not require chance correction (i.e., are identical to the Zegers, 1986, corrected coefficients).Keywords
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