ESS210B
Prof. Jin-Yi Yu
How Many EOFs Should We Retain?
qThere are no definite ways to decide this. Basically, we look at the eigenvalue spectrum and decide:
(1)The 95% significance errors in the estimation of the eigenvalues is:
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q      If the eigenvalues of adjacent EOF’s are closer together than this standard error, then it is unlikely that their particular structures are significant.
q(2) Or we can just look at  the slope of the eigenvalue spectrum.
q      We would look for a place in the eigenvalue spectrum where it levels off so that successive eigenvalues are indistinguishable. We would not consider any eigenvectors beyond this point as being special.
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effective numbers of degree of freedom