Conditions under which thurstone case III representations for binary choice probabilities are also Fechnerian |
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Authors: | Geoffrey J Iverson |
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Institution: | Department of Psychology, New York University, 6 Washington Place, New York, New York 10003 USA |
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Abstract: | By a Thurstone Case III representation for binary symmetric choice probabilities Px,y we mean that there exist functions F, μ, σ > 0 such that . We show that the constraint σ = constant, or μ = ασ + β, α ≠ 0, is both necessary and sufficient for a Thurstone Case III representation to be Fechnerian, i.e., to be reexpressable as as Px,y = G(u(x) ? u(y)) for some suitably chosen functions G, u. |
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Keywords: | Requests for reprints should be sent to Geoffrey Iverson Department of Psychology New York University 6 Washington Place New York N Y 10003 |
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