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Cross-validation methods in principal component analysis: A comparison Export

Statistical Methods and Applications, Vol. 11, No. 1. (23 February 2002), pp. 71-82.

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Abstract  In principal component analysis (PCA), it is crucial to know how many principal components (PCs) should be retained in order to account for most of the data variability. A class of “objective” rules for finding this quantity is the class of cross-validation (CV) methods. In this work we compare three CV techniques showing how the performance of these methods depends on the covariance matrix structure. Finally we propose a rule for the choice of the “best” CV method and give an application to real data.


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