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We derive ratio scales from paired comparison judgments in a reciprocal matrix A. When the judgments are consistent, we have a principal eigenvalue structure which is preserved when A is perturbed. Mathematical conditions are given on the size of the perturbations to produce a good approximation...
In the present paper, we discuss a latent structure analysis for assessing learning structures of acquiring two kinds of skill. This discussion presents a “pairwise” assessment procedure for explaining the learning structure of acquiring the skills concerned. We propose a latent class model for...
Solutions of Correspondence Analysis (CA) are obtained with three artificial two-way contingency tables. Two new concepts are introduced to clarify the structure of the problem. One is dual space representation, which is closely related to the representation proposed by Tenenhaus and Youn....
This paper proposes a mutidimensional scaling method for asymmetric proximity data whose diagonal entries are not all equal. For a suggested model, necessary and sufficient conditions and algebraic solutions are presented. The method consisting of two algorithms is developed, which gives...
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