Algebra and geometry of tensors for modeling rater agreement data

02/21/2018

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by   Cristiano Bocci, et al.

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We study three different quasi-symmetry models and three different mixture models of n× n× n tensors for modeling rater agreement data. For these models we give a geometric description of the associated varieties and we study their invariants distinguishing between the case n=2 and the case n>2. Finally, for the two models for pairwise agreement we state some results about the pairwise Cohen's κ coefficients.