Design of Experiments - US Army Conference on Applied Statistics
Design of Experiments - US Army Conference on Applied Statistics
Design of Experiments - US Army Conference on Applied Statistics
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Robust Screening <str<strong>on</strong>g>Design</str<strong>on</strong>g> Properties<br />
1. The number <str<strong>on</strong>g>of</str<strong>on</strong>g> required runs is <strong>on</strong>ly <strong>on</strong>e more than twice the number <str<strong>on</strong>g>of</str<strong>on</strong>g> factors.<br />
2. Unlike resoluti<strong>on</strong> III designs, main effects are completely independent <str<strong>on</strong>g>of</str<strong>on</strong>g> two-factor<br />
interacti<strong>on</strong>s. As a result, estimates <str<strong>on</strong>g>of</str<strong>on</strong>g> main effects are not biased by the presence <str<strong>on</strong>g>of</str<strong>on</strong>g><br />
active two-factor interacti<strong>on</strong>s, regardless <str<strong>on</strong>g>of</str<strong>on</strong>g> whether the interacti<strong>on</strong>s are included in the<br />
model.<br />
3. Unlike resoluti<strong>on</strong> IV designs, two-factor interacti<strong>on</strong>s are not completely c<strong>on</strong>founded with<br />
other two-factor interacti<strong>on</strong>s, although they may be correlated.<br />
4. Unlike resoluti<strong>on</strong> III, IV and V designs with added center points, all quadratic effects are<br />
estimable in models comprised <str<strong>on</strong>g>of</str<strong>on</strong>g> any number <str<strong>on</strong>g>of</str<strong>on</strong>g> linear and quadratic main effects terms.<br />
5. Quadratic effects are orthog<strong>on</strong>al to main effects and not completely c<strong>on</strong>founded (though<br />
correlated) with interacti<strong>on</strong> effects.<br />
6. With six or more factors, the designs are capable <str<strong>on</strong>g>of</str<strong>on</strong>g> estimating all possible full quadratic<br />
models involving three or fewer factors.