Abstract
A family of coefficients of relational agreement for numerical scales is proposed. The theory is a generalization to multiple judges of the Zegers and ten Berge theory of association coefficients for two variables and is based on the premise that the choice of a coefficient depends on the scale type of the variables, defined by the class of admissible transformations. Coefficients of relational agreement that denote agreement with respect to empirically meaningful relationships are derived for absolute, ratio, interval, and additive scales. The proposed theory is compared to intraclass correlation, and it is shown that the coefficient of additivity is identical to one measure of intraclass correlation.
Keywords
Intraclass correlationMathematicsCorrelation ratioGeneralizationAdditive functionMeasure (data warehouse)StatisticsCorrelation coefficientInterclass correlationScale (ratio)CorrelationApplied mathematicsMathematical analysisPsychometricsComputer sciencePhysics
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Publication Info
- Year
- 1993
- Type
- article
- Volume
- 58
- Issue
- 2
- Pages
- 357-370
- Citations
- 18
- Access
- Closed
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Cite This
Robert F. Fagot
(1993).
A Generalized Family of Coefficients of Relational Agreement for Numerical Scales.
Psychometrika
, 58
(2)
, 357-370.
https://doi.org/10.1007/bf02294581
Identifiers
- DOI
- 10.1007/bf02294581