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Presentation: A New DOE Paradigm - JMP

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Three Criteria:<br />

The D-criterion: M =<br />

X' X<br />

N<br />

Maximize the determinant of M<br />

D<br />

eff<br />

<br />

| X´<br />

X | <br />

<br />

Max[|<br />

´ |]<br />

<br />

X X <br />

1/ p<br />

The G-criterion: Minimize the maximum SPV<br />

over R<br />

NVar[ yˆ(<br />

m<br />

m<br />

SPV<br />

x )] ( ) <br />

<br />

Nx'<br />

X' X 1<br />

x<br />

2<br />

<br />

G<br />

eff<br />

<br />

p<br />

max ( SPV )<br />

xR<br />

The I-criterion: Minimize the average prediction variance over R<br />

I <br />

1 NVar[ yˆ<br />

( x)]<br />

d<br />

2<br />

A<br />

<br />

x<br />

<br />

R<br />

I eff<br />

Min(<br />

APV ( D))<br />

<br />

APV ( D)<br />

5

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