Every chemometrician should take a look into a new article , describing cross-validation based approaches to automatically determine the appropriate number of dimensions in PCA. This article is a very valuable look at this important and popular topic in chemometrics.
- P. Eshghi, "Dimensionality choice in principal components analysis via cross-validatory methods", Chemometrics and Intelligent Laboratory Systems, vol. 130, pp. 6-13, 2014. http://dx.doi.org/10.1016/j.chemolab.2013.09.004