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A Maximum Likelihood Test for Equality of Probability Ratios in Luce's Choice Behavior Hypothesis

Author(s):
Wilks, Samuel S.
Publication Year:
1959
Report Number:
RM-59-02
Source:
ETS Research Memorandum
Document Type:
Report
Page Count:
6
Subject/Key Words:
Behavior Theories, Decision Making, Maximum Likelihood Statistics, Probability

Abstract

A maximum likelihood ratio procedure is presented for testing Luce's choice theory, on the basis of experimental results. Luce hypothesized that in choosing between two mutually exclusive alternatives, C1 and C2, the ratio of the probability of choosing C1 to that of choosing C2 remains unchanged for variations of a third choice alternative, C3, when C1, C2, and C3 are mutually exclusive.

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