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an introduction to Principal Component Analysis (PCA)

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usage of <strong>PCA</strong>: Probability distribution for sample PCs<br />

If (i) the n observations of in the sample are independent &<br />

(ii)<br />

is drawn from <strong>an</strong> underlying population that<br />

follows a p-variate normal (Gaussi<strong>an</strong>) distribution<br />

with known covari<strong>an</strong>ce matrix<br />

then<br />

where<br />

is the Wishart distribution<br />

else<br />

utilize a bootstrap approximation

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