OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 45, Iss. 5 — May. 1, 1955
  • pp: 373–378

New Method for the Assignment of Psychometric Scale Values from Incomplete Paired Comparisons

J. H. MORRISSEY  »View Author Affiliations


JOSA, Vol. 45, Issue 5, pp. 373-378 (1955)
http://dx.doi.org/10.1364/JOSA.45.000373


View Full Text Article

Acrobat PDF (691 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The principle of least squares is applied to the selection of an optimum set of n response values, or of (n-1) basic response differences, corresponding to n stimuli, from m observed response differences provided by the paired-comparison method of psychometric measurement. This method of selection is shown to be the most appropriate generalization, to the case of a usable but incomplete set, i.e., with n-1≦mn(n-1), of observed response differences, of a corrected form of the algorithm of J. P. Guilford. Unlike the Guilford algorithm, however, direct application of the least-squares principle implies response values which are independent of the a priori ordering of the n stimuli, even in the incomplete-set case.

Citation
J. H. MORRISSEY, "New Method for the Assignment of Psychometric Scale Values from Incomplete Paired Comparisons," J. Opt. Soc. Am. 45, 373-378 (1955)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-45-5-373

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited