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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Statistics and Probability

Brigham Young University

Theses/Dissertations

2011

Experimental Design

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Screening Designs That Minimize Model Dependence, Kenneth P. Fairchild Dec 2011

Screening Designs That Minimize Model Dependence, Kenneth P. Fairchild

Theses and Dissertations

When approaching a new research problem, we often use screening designs to determine which factors are worth exploring in more detail. Before exploring a problem, we don't know which factors are important. When examining a large number of factors, it is likely that only a handful are significant and that even fewer two-factor interactions will be significant. If there are important interactions, it is likely that they are connected with the handful of significant main effects. Since we don't know beforehand which factors are significant, we want to choose a design that gives us the highest probability a priori of …