Weighted Kappa for Interobserver Agreement and Missing Data

The weighted kappa coefficient is commonly used for assessing agreement between two raters on an ordinal scale. This study is the first to assess the impact of missing data on the value of weighted kappa. We compared three methods for handling missing data in a simulation study: predictive mean matc...

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Main Authors: Matthijs J. Warrens, Alexandra de Raadt, Roel J. Bosker, Henk A. L. Kiers
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Machine Learning and Knowledge Extraction
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Online Access:https://www.mdpi.com/2504-4990/7/1/18
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author Matthijs J. Warrens
Alexandra de Raadt
Roel J. Bosker
Henk A. L. Kiers
author_facet Matthijs J. Warrens
Alexandra de Raadt
Roel J. Bosker
Henk A. L. Kiers
author_sort Matthijs J. Warrens
collection DOAJ
description The weighted kappa coefficient is commonly used for assessing agreement between two raters on an ordinal scale. This study is the first to assess the impact of missing data on the value of weighted kappa. We compared three methods for handling missing data in a simulation study: predictive mean matching, listwise deletion and a weighted version of Gwet’s kappa. We compared their performances under three missing data mechanisms, using agreement tables with various numbers of categories and different values of weighted kappa. Predictive mean matching outperformed the other two methods in most simulated cases in terms of root mean squared error and in all cases in terms of bias.
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spelling doaj-art-0bb90c6b45c14d119825d48fcede0a4e2025-08-20T02:11:17ZengMDPI AGMachine Learning and Knowledge Extraction2504-49902025-02-01711810.3390/make7010018Weighted Kappa for Interobserver Agreement and Missing DataMatthijs J. Warrens0Alexandra de Raadt1Roel J. Bosker2Henk A. L. Kiers3GION Education/Research, Faculty of Behavioural and Social Sciences, University of Groningen, Grote Rozenstraat 3, 9712 TG Groningen, The NetherlandsGION Education/Research, Faculty of Behavioural and Social Sciences, University of Groningen, Grote Rozenstraat 3, 9712 TG Groningen, The NetherlandsGION Education/Research, Faculty of Behavioural and Social Sciences, University of Groningen, Grote Rozenstraat 3, 9712 TG Groningen, The NetherlandsHeymans Institute for Psychological Research, Faculty of Behavioural and Social Sciences, University of Groningen, Grote Kruisstraat 2/1, 9712 TS Groningen, The NetherlandsThe weighted kappa coefficient is commonly used for assessing agreement between two raters on an ordinal scale. This study is the first to assess the impact of missing data on the value of weighted kappa. We compared three methods for handling missing data in a simulation study: predictive mean matching, listwise deletion and a weighted version of Gwet’s kappa. We compared their performances under three missing data mechanisms, using agreement tables with various numbers of categories and different values of weighted kappa. Predictive mean matching outperformed the other two methods in most simulated cases in terms of root mean squared error and in all cases in terms of bias.https://www.mdpi.com/2504-4990/7/1/18ordinal ratingsinter-rater reliabilityweighted kappamissing datalistwise deletionpredictive mean matching
spellingShingle Matthijs J. Warrens
Alexandra de Raadt
Roel J. Bosker
Henk A. L. Kiers
Weighted Kappa for Interobserver Agreement and Missing Data
Machine Learning and Knowledge Extraction
ordinal ratings
inter-rater reliability
weighted kappa
missing data
listwise deletion
predictive mean matching
title Weighted Kappa for Interobserver Agreement and Missing Data
title_full Weighted Kappa for Interobserver Agreement and Missing Data
title_fullStr Weighted Kappa for Interobserver Agreement and Missing Data
title_full_unstemmed Weighted Kappa for Interobserver Agreement and Missing Data
title_short Weighted Kappa for Interobserver Agreement and Missing Data
title_sort weighted kappa for interobserver agreement and missing data
topic ordinal ratings
inter-rater reliability
weighted kappa
missing data
listwise deletion
predictive mean matching
url https://www.mdpi.com/2504-4990/7/1/18
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