Common principal components & related multivariate models
Common principal components & related multivariate models
Principal points and self-consistent points of symmetric multivariate distributions
Journal of Multivariate Analysis
Journal of Multivariate Analysis
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When two groups are present, they are said to form an allometric model, if one group is the extension of the other group along the main axis of variation. The model is widely used in the context of principal component analysis, especially for the description of growth processes of creatures. In this paper, the notion of allometric extension model is applied to conditional distributions. More specifically, we derive a sufficient condition, for which the two conditional distributions given the sign of the first principal component form an allometric extension model.