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Presentation: Exploring Best Practices in Design of Experiments - JMP

Presentation: Exploring Best Practices in Design of Experiments - JMP

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Robust Screen<strong>in</strong>g <strong>Design</strong> Properties<br />

1. The number <strong>of</strong> required runs is only one more than twice the number <strong>of</strong> factors.<br />

2. Unlike resolution III designs, ma<strong>in</strong> effects are completely <strong>in</strong>dependent <strong>of</strong> two-factor<br />

<strong>in</strong>teractions. As a result, estimates <strong>of</strong> ma<strong>in</strong> effects are not biased by the presence <strong>of</strong><br />

active two-factor <strong>in</strong>teractions, regardless <strong>of</strong> whether the <strong>in</strong>teractions are <strong>in</strong>cluded <strong>in</strong> the<br />

model.<br />

3. Unlike resolution IV designs, two-factor <strong>in</strong>teractions are not completely confounded with<br />

other two-factor <strong>in</strong>teractions, although they may be correlated.<br />

4. Unlike resolution III, IV and V designs with added center po<strong>in</strong>ts, all quadratic effects are<br />

estimable <strong>in</strong> models comprised <strong>of</strong> any number <strong>of</strong> l<strong>in</strong>ear and quadratic ma<strong>in</strong> effects terms.<br />

5. Quadratic effects are orthogonal to ma<strong>in</strong> effects and not completely confounded (though<br />

correlated) with <strong>in</strong>teraction effects.<br />

6. With six or more factors, the designs are capable <strong>of</strong> estimat<strong>in</strong>g all possible full quadratic<br />

models <strong>in</strong>volv<strong>in</strong>g three or fewer factors.

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