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Design of Experiments - US Army Conference on Applied Statistics

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Alternatives to Resoluti<strong>on</strong> III <str<strong>on</strong>g>Design</str<strong>on</strong>g>s<br />

The regular resoluti<strong>on</strong> III designs with from 9 to 15 factors in 16 runs are<br />

used frequently in practice<br />

These designs completely c<strong>on</strong>found some interacti<strong>on</strong>s with main effects<br />

For example, in the minimum aberrati<strong>on</strong> nine factor case, 12 two-factor<br />

interacti<strong>on</strong>s are aliased with main effects and 24 two-factor interacti<strong>on</strong>s<br />

are c<strong>on</strong>founded in groups with other two-factor interacti<strong>on</strong>s<br />

Follow-up experiments are <str<strong>on</strong>g>of</str<strong>on</strong>g>ten necessary, and the best augmentati<strong>on</strong><br />

approach may not be obvious.<br />

N<strong>on</strong>regular designs with no pure c<strong>on</strong>founding <str<strong>on</strong>g>of</str<strong>on</strong>g> main effects and tw<str<strong>on</strong>g>of</str<strong>on</strong>g>actor<br />

interacti<strong>on</strong>s are useful alternatives.<br />

We provide a collecti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> these designs.<br />

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