A Note on the Linearly and Quadratically Weighted Kappa Coefficients

Pingke Li ()
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Pingke Li: Tsinghua University

Psychometrika, 2016, vol. 81, issue 3, No 10, 795-801

Abstract: Abstract The linearly and quadratically weighted kappa coefficients are popular statistics in measuring inter-rater agreement on an ordinal scale. It has been recently demonstrated that the linearly weighted kappa is a weighted average of the kappa coefficients of the embedded 2 by 2 agreement matrices, while the quadratically weighted kappa is insensitive to the agreement matrices that are row or column reflection symmetric. A rank-one matrix decomposition approach to the weighting schemes is presented in this note such that these phenomena can be demonstrated in a concise manner.

Keywords: inter-rater agreement; weighted kappa; rank-one representation; complete positivity (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11336-016-9501-5

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