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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) follows a Wishart distribution &<br />

(ii) the population eigenvalues<br />

are all distinct<br />

then<br />

the following results hold as<br />

• all the<br />

are independent of all the<br />

•are jointly normally distributed<br />

(a tilde denotes a population qu<strong>an</strong>tity)

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