Some problems in testing the double cancellation condition in conjoint measurement
type: Item
instance of: scholarly article
title: Some problems in testing the double cancellation condition in conjoint measurement
zbMATH Open document ID: 0654.62090
DOI: 10.1016/0022-2496(88)90024-7
author: Joel Michell
published in: Journal of Mathematical Psychology
publication date: 1988-01-01T00:00:00Z
review text: Two problems involved in testing the conjoint measurement condition of double cancellation are analysed. 1. It is argued that in the case of complete data matrices tests of double cancellation either confirm or falsify the hypothesis of additivity and that, contrary to popular belief, so-called ``no-tests'' are really acceptances. 2. It is shown that with a weak order upon \(3\times 3\) matrices both independence and a single test of double cancellation (which is logically independent of independence) are necessary and sufficient for additivity. Hence, if a weak order satisfies independence in such matrices only this single test of double cancellation needs to be performed.
Mathematics Subject Classification ID: 62P15
Mathematics Subject Classification ID: 91E99
zbMATH DE Number: 4068131
zbMATH Keywords: testing the conjoint measurement condition of double cancellation
zbMATH Keywords: hypothesis of additivity
zbMATH Keywords: weak order
zbMATH Keywords: independence
MaRDI profile type: Publication
full work available at URL: 0022-2496(88)90024-7
OpenAlex ID: W2072933769
cites work: Q5639713
cites work: Simultaneous conjoint measurement: A new type of fundamental measurement
description: scientific article; zbMATH DE number 4068131