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A comparison of four methods of constructing factor scores

A comparison of four methods of constructing factor scores Abstract Four least-squares methods for constructing factor scores have been described in the literature. The formal properties of these scores are developed, and they are compared in terms of four generally desirable properties of constructed factor scores. In particular, it is shown that two of the methods yield scores that are conditionally unbiassed, and univocal in the sense of Guilford and Michael, though not orthogonal, while one of the other methods yields orthogonal scores. It is shown that constructed factor scores cannot be simultaneously univocal and orthogonal, unless we choose the special basis in factor space given by Canonical Factor Analysis. The general problem of choosing between the methods is discussed, on the basis of the theoretical relations obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Springer Journals

A comparison of four methods of constructing factor scores

Psychometrika , Volume 32 (4): 21 – Dec 1, 1967

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References (22)

Publisher
Springer Journals
Copyright
1967 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/BF02289653
Publisher site
See Article on Publisher Site

Abstract

Abstract Four least-squares methods for constructing factor scores have been described in the literature. The formal properties of these scores are developed, and they are compared in terms of four generally desirable properties of constructed factor scores. In particular, it is shown that two of the methods yield scores that are conditionally unbiassed, and univocal in the sense of Guilford and Michael, though not orthogonal, while one of the other methods yields orthogonal scores. It is shown that constructed factor scores cannot be simultaneously univocal and orthogonal, unless we choose the special basis in factor space given by Canonical Factor Analysis. The general problem of choosing between the methods is discussed, on the basis of the theoretical relations obtained.

Journal

PsychometrikaSpringer Journals

Published: Dec 1, 1967

Keywords: Psychometrics; Assessment, Testing and Evaluation; Statistics for Social Sciences, Humanities, Law; Statistical Theory and Methods

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