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Alternative Methods of Constructing Strict Weak Orders from Interval Orders

Published online by Cambridge University Press:  01 January 2025

Peter C. Fishburn  and
William V. Gehrlein
Peter C. Fishburn
Affiliation:
The Pennsylvania State University
William V. Gehrlein
Affiliation:
The Pennsylvania State University
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Abstract

Let n 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.

Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 4 , December 1974 , pp. 501 - 516
Copyright
Copyright © 1974 The Psychometric Society

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