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Jul 15, 2013 at 22:50 history edited Christian Bueno CC BY-SA 3.0
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Jul 15, 2013 at 22:50 comment added Christian Bueno I must admit, I'm embarrassed to have forgotten, but good point about covariance matrices being diagonalizable in general. I'm going to edit to reflect that. Also, could you elaborate on point (2)? I'm not familiar with the difference between parametric or non-parametric procedures.
Jul 15, 2013 at 21:04 comment added whuber Thank you for your contribution. It seems to address an unnecessarily narrow interpretation of PCA, however. (1) PCA has been fruitfully applied to highly non-Gaussian datasets. (2) PCA is not a formal parametric procedure; it perhaps is better to think of it as exploratory in spirit. (3) All covariance matrices, of any kind of multivariate distribution or data, are diagonalizable. Neither Gaussianity (Normality) nor non-degeneracy are requirements. (Symmetry of the matrix and having real components guarantee diagonalizability.)
S Jul 15, 2013 at 19:54 review Late answers
Jul 15, 2013 at 19:54
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Jul 15, 2013 at 20:05
Jul 15, 2013 at 19:37 history answered Christian Bueno CC BY-SA 3.0