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A note on equivalent Thurstone models

Abstract

Yellott (1978) has shown that there are Thurstone models with probability distributions of different types that are equivalent for complete experiments with three alternatives. This note generalizes and extends his findings by showing that for any number of alternatives n, there exists a pair of Thurstone models with probability distributions of different types that are equivalent for complete experiments with n alternatives, but which are not equivalent for complete experiments with n + 1 alternatives. © 1979.

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