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Klaas Faber (faber)
New member
Username: faber

Post Number: 5
Registered: 9-2003
Posted on Monday, September 03, 2007 - 6:55 am:   

Hi!

When developing a permutation test for a complex problem like component selection, one has to make a choice for test statistic. Fit of y would have been another choice (which I investigated as well; it gives similar results). The idea behind the choice we finally ended up with, is that it leads to a t-test for PCR (normalized scores) under standard regression assumptions (no noise in x). This permutation test therefore generalizes that particular t-test to (1) more general circumstances and (2) other component-based calibration methods.

Klaas
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Christian Mora (cmora)
Junior Member
Username: cmora

Post Number: 10
Registered: 2-2007
Posted on Tuesday, July 10, 2007 - 1:37 pm:   

OK, I found it: it was the inner product of the scores and the Y vector.
Thanks anyways
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Ian Michael (admin)
Board Administrator
Username: admin

Post Number: 11
Registered: 1-2006
Posted on Tuesday, July 10, 2007 - 10:28 am:   

In case anyone wants to read the article, it can be downloaded free-of-charge from http://www.spectroscopyeurope.com/td_col.html#18_5.
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Christian Mora (cmora)
Junior Member
Username: cmora

Post Number: 9
Registered: 2-2007
Posted on Tuesday, July 10, 2007 - 8:37 am:   

I'm sorry: Spectroscopy Europe October/November 2006.
Thanks
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Howard Mark (hlmark)
Senior Member
Username: hlmark

Post Number: 113
Registered: 9-2001
Posted on Tuesday, July 10, 2007 - 8:17 am:   

Christian - in which periodical? JNIRS is only up to Vol. 15, and NIR News is only up to issue #4 of Vol. 18. Unless it's some other journal, it hasn't been published yet!!

\o/
/_\
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Christian Mora (cmora)
Junior Member
Username: cmora

Post Number: 8
Registered: 2-2007
Posted on Monday, July 09, 2007 - 9:29 pm:   

Dear List Members;

In Tony Davies's article Vol 18 No 5 2006, Faber and Rajko discussed the permutation test as an approach to evaluate the significance of the components of a PLS model.

They say:"For each of these random models, a test statistic is calculated"

Does anyone know what is the actual "test statistic" they mention?

Thanks

CMora

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