A classification tool for N-way arrays based on SIMCA methodology
A classification tool for N-way arrays based on SIMCA methodology
A classification tool for N-way arrays based on SIMCA methodology
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Overview of 2-<str<strong>on</strong>g>way</str<strong>on</strong>g> <strong>SIMCA</strong><br />
distance from a class, i.e q, of a test object, i.e. p :<br />
d p (q) = sqrt[s p (q)2 + © a √ a2 (t a –∇ a<br />
(q)<br />
,lim ) 2 ]<br />
<strong>SIMCA</strong> original<br />
S.Wold, Pattern Recogniti<strong>on</strong>, 1976, 127;<br />
S. Wold, M. Sjostrom, ACS Symposium<br />
Series, 1977, 243-281.<br />
total RSD of a class, i.e. q:<br />
s 0 (q) = sqrt(© ik e ik2 /(N-A-1)(M-A))<br />
s p (q) = sqrt(© k e pk2 /(M-A))<br />
PC2<br />
s p<br />
(q)<br />
i=1:M M=number of variables;<br />
k= 1:N objects bel<strong>on</strong>ging to class q;<br />
Classificati<strong>on</strong> rule<br />
Text<br />
Class space<br />
PC1<br />
F = d p (q)2 / s 0 (q)2 < F crit (M-A),(N-A-1)(M-A)<br />
t a<br />
–∇ a<br />
(q)<br />
,lim<br />
If true <str<strong>on</strong>g>for</str<strong>on</strong>g> both q and r Unique assignment <strong>on</strong>ly if<br />
F = d p<br />
(q)2 / d p<br />
(r)2<br />
> F crit (M-A r ),(M-A q )<br />
TRICAP 2009<br />
Dr. Marina CocchiMORE chemometrics,<br />
Department of Chemistry-University of Modena