The Cicchetti-Allison weighting matrix is positive definite

Application of Cohen's weighted kappa for inter-rater agreement requires the specification of a weighting matrix. An explicit formula for the determinants of the principal minors of the weighting matrix with Cicchetti-Allison weights is derived. Since all determinants are strictly positive, it follows that the Cicchetti-Allison weighting matrix is positive definite.

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