A Note on the Linearly and Quadratically Weighted Kappa Coefficients.
- Resource Type
- Article
- Authors
- Li, Pingke,
- Source
- Psychometrika; Sep2016, Vol. 81 Issue 3, p795-801, 7p
- Subject
- Coefficients (Statistics)
Matrices (Mathematics)
Matrix decomposition
Transmission line matrix methods
Quantitative research
- Language
- ISSN
- 00333123
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. [ABSTRACT FROM AUTHOR]