Two-Level Multifactor Experiment Designs for Detecting the Presence of Interactions
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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A design optimality criterion trL - optimality is applied to the problem of designing two-level multifactor experiments to detect the presence of interactions among the controlled variables. Rules are given for constructing trL - optimal foldover designs and trL - optimal fractional factorial designs. Some results are given on the power of these designs for testing the hypothesis that there are no two-factor interactions. Modifications of the trL - optimal designs to satisfy other experimental objectives estimability of effects, detection of the presence of other nonlinear effects, estimation of the error variance are suggested. Examples are given to demonstrate the application of these designs to i screening for interactions, and ii evaluating the first-order assumption in the sensitivity analysis of a computer code.
- Statistics and Probability