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Item Selection Procedures for Item Variables with a Known Factor Structure

Published online by Cambridge University Press:  01 January 2025

G. Elfving
Affiliation:
University of Helsinki
R. Sitgreaves
Affiliation:
Columbia University
H. Solomon
Affiliation:
Columbia University

Abstract

This paper discusses the item selection problem when the item responses follow a linear multiple factor model. Because of this restrictive assumption, not too unrealistic in situations such as mental testing, it is possible to select optimal sets of items without going through all possible combinations. A method proposed by Elfving to accomplish this is analyzed and then demonstrated through the use of two illustrations. The common and often used procedure of observing the magnitude of the correlation coefficient as an index in item selection is shown to have some merit in the single-factor case.

Type
Original Paper
Copyright
Copyright © 1959 The Psychometric Society

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Footnotes

*

Work performed under contract AF 41(657)-244 with the School of Aviation Medicine, Randolph AFB, Texas.

References

Elfving, G. Selection of item variables for prediction. Report No. 56-91, Texas: Air Univ., School of Aviation Medicine, USAF, Randolph AFB, 1956.Google Scholar
Elfving, G. Further contributions to the theory of item selection. Report No. 57-97, Texas: Air Univ., School of Aviation Medicine, USAF, Randolph AFB, 1957.Google Scholar
Elfving, G. Optimum allocation in linear regression theory. Ann. math. Statist., 1952, 23, 225262.CrossRefGoogle Scholar
Elfving, G. Geometric allocation theory. Skandinavisk Aktuarietidskrift., 1954, 37, 170190.Google Scholar
Elfving, G. A selection problem in experimental design. Societas Scientarium Fennica, Commentationes Physico-Mathematicae, 1957, 20, 110.Google Scholar
Elfving, G. Selection of nonrepeatable observations for estimation. In Neyman, J. (Eds.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: Univ. California Press, 1955, 6975.Google Scholar