Kappa Coefficients for Missing Data
Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa that can handle missing data are presented. Data are considered missing if one or both ratings of a unit are missing. We study how well the var...
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Published in | Educational and psychological measurement Vol. 79; no. 3; pp. 558 - 576 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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SAGE Publications
01.06.2019
SAGE PUBLICATIONS, INC |
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Abstract | Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa that can handle missing data are presented. Data are considered missing if one or both ratings of a unit are missing. We study how well the variants estimate the kappa value for complete data under two missing data mechanisms—namely, missingness completely at random and a form of missingness not at random. The kappa coefficient considered in Gwet (Handbook of Inter-rater Reliability, 4th ed.) and the kappa coefficient based on listwise deletion of units with missing ratings were found to have virtually no bias and mean squared error if missingness is completely at random, and small bias and mean squared error if missingness is not at random. Furthermore, the kappa coefficient that treats missing ratings as a regular category appears to be rather heavily biased and has a substantial mean squared error in many of the simulations. Because it performs well and is easy to compute, we recommend to use the kappa coefficient that is based on listwise deletion of missing ratings if it can be assumed that missingness is completely at random or not at random. |
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AbstractList | Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa that can handle missing data are presented. Data are considered missing if one or both ratings of a unit are missing. We study how well the variants estimate the kappa value for complete data under two missing data mechanisms—namely, missingness completely at random and a form of missingness not at random. The kappa coefficient considered in Gwet (Handbook of Inter-rater Reliability, 4th ed.) and the kappa coefficient based on listwise deletion of units with missing ratings were found to have virtually no bias and mean squared error if missingness is completely at random, and small bias and mean squared error if missingness is not at random. Furthermore, the kappa coefficient that treats missing ratings as a regular category appears to be rather heavily biased and has a substantial mean squared error in many of the simulations. Because it performs well and is easy to compute, we recommend to use the kappa coefficient that is based on listwise deletion of missing ratings if it can be assumed that missingness is completely at random or not at random. Cohen's kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen's kappa that can handle missing data are presented. Data are considered missing if one or both ratings of a unit are missing. We study how well the variants estimate the kappa value for complete data under two missing data mechanisms-namely, missingness completely at random and a form of missingness not at random. The kappa coefficient considered in Gwet ( , 4th ed.) and the kappa coefficient based on listwise deletion of units with missing ratings were found to have virtually no bias and mean squared error if missingness is completely at random, and small bias and mean squared error if missingness is not at random. Furthermore, the kappa coefficient that treats missing ratings as a regular category appears to be rather heavily biased and has a substantial mean squared error in many of the simulations. Because it performs well and is easy to compute, we recommend to use the kappa coefficient that is based on listwise deletion of missing ratings if it can be assumed that missingness is completely at random or not at random. Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa that can handle missing data are presented. Data are considered missing if one or both ratings of a unit are missing. We study how well the variants estimate the kappa value for complete data under two missing data mechanisms—namely, missingness completely at random and a form of missingness not at random. The kappa coefficient considered in Gwet ( Handbook of Inter-rater Reliability , 4th ed.) and the kappa coefficient based on listwise deletion of units with missing ratings were found to have virtually no bias and mean squared error if missingness is completely at random, and small bias and mean squared error if missingness is not at random. Furthermore, the kappa coefficient that treats missing ratings as a regular category appears to be rather heavily biased and has a substantial mean squared error in many of the simulations. Because it performs well and is easy to compute, we recommend to use the kappa coefficient that is based on listwise deletion of missing ratings if it can be assumed that missingness is completely at random or not at random. |
Author | De Raadt, Alexandra Warrens, Matthijs J. Bosker, Roel J. Kiers, Henk A. L. |
AuthorAffiliation | 1 University of Groningen, Groningen, the Netherlands |
AuthorAffiliation_xml | – name: 1 University of Groningen, Groningen, the Netherlands |
Author_xml | – sequence: 1 givenname: Alexandra surname: De Raadt fullname: De Raadt, Alexandra – sequence: 2 givenname: Matthijs J. orcidid: 0000-0002-7302-640X surname: Warrens fullname: Warrens, Matthijs J. email: m.j.warrens@rug.nl – sequence: 3 givenname: Roel J. surname: Bosker fullname: Bosker, Roel J. – sequence: 4 givenname: Henk A. L. surname: Kiers fullname: Kiers, Henk A. L. |
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Keywords | nominal ratings Gwet’s kappa missing data listwise deletion inter-rater reliability Cohen’s kappa |
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K. – volume: 37 start-page: 360 year: 2005 ident: bibr32-0013164418823249 publication-title: Family Medicine contributor: fullname: Viera A. 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Snippet | Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa... Cohen's kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen's kappa... Cohen’s kappa coefficient is commonly used for assessing agreement between classifications of two raters on a nominal scale. Three variants of Cohen’s kappa... |
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SubjectTerms | Bias Comparative Analysis Data Educational tests & measurements Error of Measurement Interrater Reliability Kappa coefficient Missing data Statistical Analysis Statistical Bias |
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Title | Kappa Coefficients for Missing Data |
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