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Presentation: A New DOE Paradigm - JMP

Presentation: A New DOE Paradigm - JMP

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Suppose we believe in the model:<br />

y = X 1<br />

b 1<br />

+ e<br />

But the true model is:<br />

y = X 1<br />

b 1<br />

+ X 2<br />

b 2<br />

+ e<br />

Then, the Alias matrix is:<br />

A = (X t 1<br />

X 1<br />

) -1 X t 1<br />

X 2<br />

The model for our specific example on the next slide is:<br />

y = b 0<br />

+x 1<br />

b 1<br />

+ x 2<br />

b 2<br />

+ x 3<br />

b 3<br />

+ e<br />

24

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