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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<strong>SIMCA</strong> extensi<strong>on</strong> to N-<br />
<str<strong>on</strong>g>way</str<strong>on</strong>g><br />
DIFFERENT CLASSIFICATION RUL<br />
implemented<br />
‣ <strong>SIMCA</strong> alternative<br />
Orthog<strong>on</strong>al distance:<br />
Scores distance:<br />
Leverage:<br />
Hfit = diag [ Afit(Afit T Afit) -1 Afit T ]<br />
HCV = diag [ ACV(Afit T Afit) -1 ACV T ]<br />
Q<br />
Hnew = diag [ Anew(Afit T Afit) -1 Anew T ]<br />
Classificati<strong>on</strong> rule (reduced distance as in PLS <str<strong>on</strong>g>tool</str<strong>on</strong>g>box)<br />
‣ Q, H, D limits:<br />
Qlim fit<br />
Hlim fit ng=n°obj V=n°var<br />
Dlim fit<br />
⎟ 2 distributi<strong>on</strong> JM approximati<strong>on</strong><br />
J.A. Westerhuis, S.P. Gurden and<br />
A.K. Smilde, Chemolab. 51 (2000)<br />
95-114.<br />
S: mode 1 scores Covariance matrix;<br />
A: mode 1 Score matrix;<br />
D-statistic<br />
Dfit = diag[ Afit(Sit) -1 Afit T ]<br />
DCV = diag[ ACV(Sit) -1 ACV T ]<br />
Dnew = diag[ Anew(Sit) -1 Anew T ]<br />
Hlim fit AP<br />
Qlim fit AP<br />
also<br />
H CV 95%: the 95 percentile of<br />
HCV<br />
Q CV 95%: the 95 percentile of<br />
QCV<br />
Hlim CV AP<br />
Qlim CV AP<br />
Alexey L. Pomerantsev<br />
*<br />
.same <str<strong>on</strong>g>for</str<strong>on</strong>g> DCV<br />
TRICAP 2009<br />
Dr. Marina CocchiMORE chemometrics,<br />
Department of Chemistry-University of Modena
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