Rotation of principal components: choice of normalization constraints
- 1 January 1995
- journal article
- research article
- Published by Taylor & Francis in Journal of Applied Statistics
- Vol. 22 (1) , 29-35
- https://doi.org/10.1080/757584395
Abstract
Following a principal component analysis, it is fairly common practice to rotate some of the components, often using orthogonal rotation. It is a frequent misconception that orthogonal rotation will produce rotated components which are pairwise uncorrelated, and/or whose loadings are orthogonal In fact, it is not possible, using the standard definition of rotation, to preserve both these properties. Which of the two properties is preserved depends on the normalization chosen for the loadings, prior to rotation. The usual ‘default’ normalization leads to rotated components which possess neither property.Keywords
This publication has 4 references indexed in Scilit:
- Interpretation of Canonical Discriminant Functions, Canonical Variates, and Principal ComponentsThe American Statistician, 1992
- Climatological patterns of thunderstorm activity in south-eastern USAInternational Journal of Climatology, 1991
- Rotation of Ill-Defined Principal ComponentsJournal of the Royal Statistical Society Series C: Applied Statistics, 1989
- Principal Component AnalysisPublished by Springer Nature ,1986