Orthogonal principal planes

Authors
Citation
P. Filzmoser, Orthogonal principal planes, PSYCHOMETRI, 65(3), 2000, pp. 363-376
Citations number
13
Categorie Soggetti
Psycology
Journal title
PSYCHOMETRIKA
ISSN journal
00333123 → ACNP
Volume
65
Issue
3
Year of publication
2000
Pages
363 - 376
Database
ISI
SICI code
0033-3123(200009)65:3<363:OPP>2.0.ZU;2-D
Abstract
Factor analysis and principal component analysis result in computing a new coordinate system, which is usually rotated to obtain a better interpretati on of the results. In the present paper, the idea of rotation to simple str ucture is extended to two dimensions. While the classical definition of sim ple structure is aimed at rotating (one-dimensional) Factors, the extension to a simple structure for two dimensions is based on the rotation of plane s. The resulting planes (principal planes) reveal a better view of the data than planes spanned by Factors from classical rotation and hence allow a m ore reliable interpretation. The usefulness of the method as well as the ef fectiveness of a proposed algorithm are demonstrated by simulation experime nts and an example.