Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse

Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse

Cohen's kappa and weighted kappa statistics are the conventional methods used frequently in measuring agreement for categorical responses. In this paper, through the perspective of a generalized inverse, we propose an alternative general framework of the fixed-effects modeling of Cohen's w...

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Main Authors: Jingyun Yang, Vernon M. Chinchilli
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2011/603856
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spelling doaj-45e41de55c1a4b39ad856ac3bd488b4d2020-11-25T00:37:20ZengHindawi LimitedJournal of Probability and Statistics1687-952X1687-95382011-01-01201110.1155/2011/603856603856Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized InverseJingyun Yang0Vernon M. Chinchilli1Department of Biostatistics and Epidemiology, College of Public Health, University of Oklahoma Health Sciences Center, Oklahoma City, OK 73104, USADepartment of Public Health Sciences, Penn State College of Medicine, 600 Centerview Drive, Suite 2200, Hershey, PA 17033-0855, USACohen's kappa and weighted kappa statistics are the conventional methods used frequently in measuring agreement for categorical responses. In this paper, through the perspective of a generalized inverse, we propose an alternative general framework of the fixed-effects modeling of Cohen's weighted kappa, proposed by Yang and Chinchilli (2011). Properties of the proposed method are provided. Small sample performance is investigated through bootstrap simulation studies, which demonstrate good performance of the proposed method. When there are only two categories, the proposed method reduces to Cohen's kappa.http://dx.doi.org/10.1155/2011/603856
collection DOAJ
language English
format Article
sources DOAJ
author Jingyun Yang
Vernon M. Chinchilli
spellingShingle Jingyun Yang
Vernon M. Chinchilli
Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
Journal of Probability and Statistics
author_facet Jingyun Yang
Vernon M. Chinchilli
author_sort Jingyun Yang
title Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
title_short Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
title_full Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
title_fullStr Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
title_full_unstemmed Fixed-Effects Modeling of Cohen's Weighted Kappa for Bivariate Multinomial Data: A Perspective of Generalized Inverse
title_sort fixed-effects modeling of cohen's weighted kappa for bivariate multinomial data: a perspective of generalized inverse
publisher Hindawi Limited
series Journal of Probability and Statistics
issn 1687-952X
1687-9538
publishDate 2011-01-01
description Cohen's kappa and weighted kappa statistics are the conventional methods used frequently in measuring agreement for categorical responses. In this paper, through the perspective of a generalized inverse, we propose an alternative general framework of the fixed-effects modeling of Cohen's weighted kappa, proposed by Yang and Chinchilli (2011). Properties of the proposed method are provided. Small sample performance is investigated through bootstrap simulation studies, which demonstrate good performance of the proposed method. When there are only two categories, the proposed method reduces to Cohen's kappa.
url http://dx.doi.org/10.1155/2011/603856
work_keys_str_mv AT jingyunyang fixedeffectsmodelingofcohensweightedkappaforbivariatemultinomialdataaperspectiveofgeneralizedinverse
AT vernonmchinchilli fixedeffectsmodelingofcohensweightedkappaforbivariatemultinomialdataaperspectiveofgeneralizedinverse
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