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Functionplane–A New Approach to Simple Structure Rotation

Published online by Cambridge University Press:  01 January 2025

Jeffrey Owen Katz  and
F. James Rohlf
Jeffrey Owen Katz
Affiliation:
State University of New York at Stony Brook
F. James Rohlf
Affiliation:
State University of New York at Stony Brook
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Abstract

A new criterion for rotation to an oblique simple structure is proposed. The results obtained are similar to that obtained by Cattell and Muerle's maxplane criterion. Since the proposed criterion is smooth it is possible to locate the local maxima using simple gradient techniques. The results of the application of the Functionplane criterion to three sets of data are given. In each case a better fit to the subjective solution was obtained using the functionplane criterion than was reported for by Hakstian for the oblimax, promax, maxplane, or the Harris-Kaiser methods.

Keywords

Public PolicyLocal MaximumStatistical TheorySimple StructureStructure Rotation
Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 1 , March 1974 , pp. 37 - 51
Copyright
Copyright © 1974 The Psychometric Society

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Footnotes

*

This paper is contribution No. 66 from the Program in Ecology and Evolution at the State University of New York, Stony Brook, New York. This work was supported in part by a grant (GB-20496) from the National Science Foundation. The computations were performed on an IBM 360/67 computer at the State University of New York at Stony Brook.

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