Nominal scale response agreement as a generalized correlation

1977 British Journal of Mathematical and Statistical Psychology 64 citations

Abstract

A further discussion of Brennan & Light's (1974) measure of nominal scale response agreement between two raters is given. Specifically, a monotonic function of Brennan & Light's statistic is obtained in terms of a generalized correlation coefficient and provided with a descriptive probabilistic interpretation. Under the different assumptions of fixed and variable marginal frequencies, simple numerical illustrations of the appropriate mean and variance formulae are included. The fixed marginal assumption was used by Brennan & Light, and thus our formulae in this case merely suggest convenient algebraic simplifications.

Keywords

MathematicsMonotonic functionVariance (accounting)StatisticSimple (philosophy)Scale (ratio)StatisticsInterpretation (philosophy)Measure (data warehouse)Function (biology)Applied mathematicsMathematical analysisPhysicsComputer science

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Publication Info

Year
1977
Type
article
Volume
30
Issue
1
Pages
98-103
Citations
64
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Lawrence J. Hubert (1977). Nominal scale response agreement as a generalized correlation. British Journal of Mathematical and Statistical Psychology , 30 (1) , 98-103. https://doi.org/10.1111/j.2044-8317.1977.tb00728.x

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DOI
10.1111/j.2044-8317.1977.tb00728.x