Cohen's Linearly Weighted Kappa Is a Weighted Average of 2 x 2 Kappas

Autor/in	Warrens, Matthijs J.
Titel	Cohen's Linearly Weighted Kappa Is a Weighted Average of 2 x 2 Kappas
Quelle	In: Psychometrika, 76 (2011) 3, S.471-486 (16 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/s11336-011-9210-z
Schlagwörter	Statistics; Probability; Computation; Measurement; Mathematical Formulas; Equations (Mathematics); Mathematical Concepts; Arithmetic + Suchen Sie Ihr Suchwort? Statistik; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Messverfahren; Mathematische Formel; Equations; Mathematics; Gleichungslehre; Addition; Arithmetik; Arithmetikunterricht; Rechnen
Abstract	An agreement table with [n as an element of N is greater than or equal to] 3 ordered categories can be collapsed into n - 1 distinct 2 x 2 tables by combining adjacent categories. Vanbelle and Albert ("Stat. Methodol." 6:157-163, 2009c) showed that the components of Cohen's weighted kappa with linear weights can be obtained from these n - 1 collapsed 2 x 2 tables. In this paper we consider several consequences of this result. One is that the weighted kappa with linear weights can be interpreted as a weighted arithmetic mean of the kappas corresponding to the 2 x 2 tables, where the weights are the denominators of the 2 x 2 kappas. In addition, it is shown that similar results and interpretations hold for linearly weighted kappas for multiple raters. (As Provided).
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Update	2017/4/10