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Warrens, Matthijs J. – Psychometrika, 2011
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…
Descriptors: Statistics, Probability, Computation, Measurement
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Warrens, Matthijs J. – Psychometrika, 2010
The paper presents inequalities between four descriptive statistics that can be expressed in the form [P-E(P)]/[1-E(P)], where P is the observed proportion of agreement of a "kappa x kappa" table with identical categories, and E(P) is a function of the marginal probabilities. Scott's "pi" is an upper bound of Goodman and Kruskal's "lambda" and a…
Descriptors: Probability, Item Response Theory, Statistics, Evaluation
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Iversen, Gudmund R.; And Others – Psychometrika, 1971
Descriptors: Expectation, Game Theory, Mathematics, Probability
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Smith, Robert A. – Psychometrika, 1971
Descriptors: Data Analysis, Data Collection, Groups, Probability