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An Axiomatic Formulation and Generalization of Successive Intervals Scaling

Published online by Cambridge University Press:  01 January 2025

Ernest Adams  and
Samuel Messick
Ernest Adams
Affiliation:
University of California, Berkeley
Samuel Messick
Affiliation:
Educational Testing Service
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Abstract

A formal set of axioms is presented for the method of successive intervals, and directly testable consequences of the scaling assumptions are derived. Then by a systematic modification of basic axioms the scaling model is generalized to non-normal stimulus distributions of both specified and unspecified form.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 4 , December 1958 , pp. 355 - 368
Copyright
Copyright © 1958 The Psychometric Society

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Footnotes

*

This paper was written while the authors were attending the 1957 Social Science Research Council Summer Institute on Applications of Mathematics in Social Science. The research was supported in part by Stanford University under Contract NR 171-034 with Group Psychology Branch, Office of Naval Research, by Social Science Research Council, and by Educational Testing Service. The authors wish to thank Dr. Patrick Suppes for his interest and encouragement throughout the writing of the report and Dr. Harold Gulliksen for his helpful and instructive comments on the manuscript.

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