Orthogonal Principal Planes
نویسنده
چکیده
Factor analysis and principal component analysis result in com-puting a new co-ordinate system, which is usually rotated to ob-tain a better interpretation of the results. In the present paper, theidea of rotation to simple structure is extended to two dimensions.While the classical definition of simple structure is aimed at rotat-ing (one-dimensional) factors, the extension to a simple structure fortwo dimensions is based on the rotation of planes. The resultingplanes (principal planes) reveal a better view of the data than planesspanned by factors from classical rotation and hence allow a morereliable interpretation. The usefulness of the method as well as theeffectiveness of a proposed algorithm are demonstrated by simulationexperiments and an example.
منابع مشابه
Generalized Principal Planes
ABSTRACT We introduce a statistical method for the decomposition of data sets into planes. With the help of principal component analysis or factor analysis the data are presented in a lower-dimensional space. The factors spanning this new co-ordinate system are rotated afterwards in that sense to fulfill the idea of simple structure, extended to two dimensions. The resulting planes which are sp...
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