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arXiv · 1804.07079

On optimal allocation of treatment/condition variance in principal component analysis

André Beauducel·Norbert Hilger
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Abstract

The allocation of a (treatment) condition-effect on the wrong principal component (misallocation of variance) in principal component analysis (PCA) has been addressed in research on event-related potentials of the electroencephalogram. However, the correct allocation of condition-effects on PCA components might be relevant in several domains of research. The present paper investigates whether different loading patterns at each condition-level are a basis for an optimal allocation of between-condition variance on principal components. It turns out that a similar loading shape at each condition-level is a necessary condition for an optimal allocation of between-condition variance, whereas a similar loading magnitude is not necessary.

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André Beauducel, Norbert Hilger. 2018-04-19. On optimal allocation of treatment/condition variance in principal component analysis. https://arxiv.org/abs/1804.07079

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