Hostname: page-component-7479d7b7d-68ccn Total loading time: 0 Render date: 2024-07-10T03:52:50.922Z Has data issue: false hasContentIssue false
  • English
  • Français

Additive Conjoint Measurement with Respect to a Pair of Orderings

Published online by Cambridge University Press:  14 March 2022

A. A. J. Marley
A. A. J. Marley*
Affiliation:
McGill University
Get access Rights & Permissions [Opens in a new window]

Abstract

Suppose that entities composed of two distinct components can be qualitatively ordered in two ways, such that each ordering relation satisfies the axioms of conjoint measurement. Without further assumptions nothing can be said about the relation between the pair of numerical scales constructed for each component. Axioms are stated that relate the two measurement theories, and that are sufficient to establish that the two conjoint scales on each component are linearly related.

Type
Research Article
Information
Philosophy of Science , Volume 37 , Issue 2 , June 1970 , pp. 215 - 222
Copyright
Copyright © 1970 The Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

1

This research was performed while the author was a Fellow of the Miller Institute for Basic Research in Science, University of California, Berkeley, and the paper was revised while the author was a Killam Fellow, University of Alberta, Edmonton.

References

[1] Dawes, R. M., “Social selection based on multidimensional criteria,” Journal of Abnormal and Social Psychology, vol. 68, 1964, pp. 104–109.CrossRefGoogle ScholarPubMed
[2] Luce, R. D., “A ‘fundamental’ axiomatization of multiplicative power relations among three variables,” Philosophy of Science, vol. 32, 1965, pp. 104–109.CrossRefGoogle Scholar
[3] Luce, R. D., “Two extensions of conjoint measurement,” Journal of Mathematical Psychology, vol. 3, 1966, pp. 348–370.CrossRefGoogle Scholar
[4] Luce, R. D. and Tukey, J. W., “Simultaneous conjoint measurement: a new type of fundamental measurement,” Journal of Mathematical Psychology, vol. 1, 1964, pp. 1–27.CrossRefGoogle Scholar
[5] Marley, A. A. J., “An alternative ‘fundamental’ axiomatization of multiplicative power relations among three variables,” Philosophy of Science, vol. 35, 1968, pp. 185–186.CrossRefGoogle Scholar