Abstract
Hierarchical κ-statistics are used to measure the extent to which two raters agree between themselves when the rating scale is ordinal. If the agreement is not perfect, hierarchical κ-statistics are useful to measure the agreement at several levels. In this paper a model-based method is proposed to estimate the hierarchical κ. It has been noted before that the estimates obtained have smaller mean-squared error than the existing estimates in finite samples. In this paper we show that asymptotically also the model-based estimates are more precise in the sense of having smaller variances. Another advantage of the model-based method is that it can be extended easily to any weighting scheme and tables of any dimensions in both theory and practice.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of the Royal Statistical Society: Series D (The Statistician)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
