A geometrical analysis of the unfolding model: Nondegenerate solutions
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Given the complete setR of rank orders derived from some configuration ofn stimulus points inr dimensions in accordance with the unfolding model, a stimulus configuration which generates just these orders will be described as a solution forR. The space is assumed to be Euclidean. Necessary and sufficient conditions are determined for a nondegenerate configuration to be a solution forR. The geometrical conditions which are necessary and sufficient to determine the subset of pairs of opposite orders are also identified and constitute the constraint system for the ordinal vector model.
KeywordsPublic Policy Statistical Theory Rank Order Opposite Order Geometrical Analysis
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