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Application of Optimal Sign-Vectors to Reliability and Cluster Analysis

Published online by Cambridge University Press:  01 January 2025

J. Arthur Woodward  and
P. M. Bentler
J. Arthur Woodward*
Affiliation:
University of California, Los Angeles
P. M. Bentler
Affiliation:
University of California, Los Angeles
*
Requests for reprints should be sent to J. Arthur Woodward, Department of Psychology, University of California, Los Angeles, California 90024.
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Abstract

Expressions involving optimal sign vectors are derived so as to yield two new applications. First, coefficient alpha for the sign-weighted composite is maximized in analogy to Lord's scale-independent solution with differential weights. Second, optimal sign vectors are used to define two groups of objects that are maximally distinct in terms of a function of the squared euclidean distances between groups. An efficient computing algorithm is described along with several examples.

Keywords

optimal weightsreliabilitycluster analysisclassification
Type
Notes And Comments
Information
Psychometrika , Volume 44 , Issue 3 , September 1979 , pp. 337 - 341
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

This research was supported in part by a research grant (DA 01070) from the U.S. Public Health Service.

References

Reference Note

Demaree, R. G., & Jernigan, L. On determining the direction of scoring in scale construction. Paper presented at the annual meeting of the Southwestern Psychological Association, San Antonio, 1971.Google Scholar

References

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