On similarity coefficients for \(2\times2\) tables and correction for chance

DOI10.1007/s11336-008-9059-yzbMath1301.62125OpenAlexW2101712836WikidataQ41790588 ScholiaQ41790588MaRDI QIDQ477963

Matthijs J. Warrens

Publication date: 10 December 2014

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-008-9059-y

zbMATH Keywords

Cohen's kappacorrection for chanceDice/Sørenson coefficientindices of associationresemblance measuressimple matching coefficientGoodman and Kruskal's lambdaHamann's etaMak's rhoScott's pi

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items (28)

\(k\)-adic similarity coefficients for binary (presence/absence) data ⋮ A family of multi-rater kappas that can always be increased and decreased by combining categories ⋮ The effect of combining categories on Bennett, Alpert and Goldstein's \(S\) ⋮ Equivalences of weighted kappas for multiple raters ⋮ Cohen's quadratically weighted kappa is higher than linearly weighted kappa for tridiagonal agreement tables ⋮ Conditional inequalities between Cohen's kappa and weighted kappas ⋮ A formal proof of a paradox associated with Cohen's kappa ⋮ On association measures for continuous variables and correction for chance ⋮ Understanding the adjusted Rand index and other partition comparison indices based on counting object pairs ⋮ Some paradoxical results for the quadratically weighted kappa ⋮ On Robinsonian dissimilarities, the consecutive ones property and latent variable models ⋮ Inequalities between multi-rater kappas ⋮ Generalization of clustering agreements and distances for overlapping clusters and network communities ⋮ Explicit agreement extremes for a \(2 \times 2\) table with given marginals ⋮ Bayesian testing of agreement criteria under order constraints ⋮ Chance-corrected measures for 2 × 2 tables that coincide with weighted kappa ⋮ Properties of Bangdiwala's \(B\) ⋮ Cohen's linearly weighted kappa is a weighted average ⋮ Cohen's kappa can always be increased and decreased by combining categories ⋮ Inequalities between kappa and kappa-like statistics for \(k\times k\) tables ⋮ Cohen's kappa is a weighted average ⋮ Means and variances for a family of similarity indices used in cluster analysis ⋮ A Kraemer-type rescaling that transforms the odds ratio into the weighted kappa coefficient ⋮ Cohen's linearly weighted kappa is a weighted average of \(2\times 2\) kappas ⋮ Comparison of similarity measures for categorical data in hierarchical clustering ⋮ Weighted kappa as a function of unweighted kappas ⋮ Ordering properties of the first eigenvector of certain similarity matrices ⋮ \(n\)-way metrics

Cites Work

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• On similarity indices and correction for chance agreement
• A classification of presence/absence based dissimilarity coefficients
• On the indeterminacy of resemblance measures for binary (presence/absence) data
• Metric and Euclidean properties of dissimilarity coefficients
• Two classes of element-wise transformations preserving the psd nature of coefficient matrices
• 2 x 2 Kappa Coefficients: Measures of Agreement or Association
• Nominal scale response agreement as a generalized correlation
• Mathematical model for studying genetic variation in terms of restriction endonucleases.
• Measures of Association for Cross Classifications

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