Abstract
Letn stimuli be linearly ordered by a physical attribute. Consider an individual's “more than” relation based on perceived attribute values. Assuming that the individual's relation agrees with the linear order and is an interval order, the paper examines the extent to which ordered pairs in the linear order but not in the interval order (due to nondetection of “small” differences) can be correctly identified on the basis of the interval order alone. Different methods of constructing strict weak orders from interval orders are compared by the degree of agreement with the underlying linear order.
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Fishburn, P.C., Gehrlein, W.V. Alternative methods of constructing strict weak orders from interval orders. Psychometrika 39, 501–516 (1974). https://doi.org/10.1007/BF02291671
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DOI: https://doi.org/10.1007/BF02291671