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On the Precision of a Euclidean Structure

Published online by Cambridge University Press:  01 January 2025

Alvin M. Best III,
Forrest W. Young and
Robert G. Hall
Alvin M. Best III
Affiliation:
National Board of Medical Examiners
Forrest W. Young*
Affiliation:
University of North Carolina at Chapel Hill
Robert G. Hall
Affiliation:
Rockwell International
*
Requests for reprints should be sent to Forrest Young, L. L. Thurstone Psychometric Laboratory, Davie Hall 013A, University of North Carolina, Chapel Hill, N.C. 27514.
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Abstract

This paper is concerned with the development of a measure of the precision of a multidimensional euclidean structure. The measure is a precision index for each point in the structure, assuming that all the other points are precisely located. The measure is defined and two numerical methods are presented for its calculation. A small Monte Carlo study of the measure's behavior is performed and findings discussed.

Keywords

Multidimensional scalingdata analysis

Information

Type
Original Paper
Information
Psychometrika , Volume 44 , Issue 4 , December 1979, pp. 395 - 408
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

The authors are indebted to Bert F. Green, Jr., Ronald Helms, Andrea Sedlak, and three anonymous reviewers for their valuable comments on earlier drafts of this paper.

References

Reference Note

Best, A. M., Nonmetric multidimensional scaling: An index of partial precision of a scaling configuration. Unpublished Master's Thesis, University of North Carolina at Chapel Hill, 1978.Google Scholar

References

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