Operations Research, Systems Engineering and Industrial Engineering Commons^™

An Intuitive Design Pattern For Sequentially Estimating Parameters Of A 2k Factorial Experiment With Active Confounding Avoidance And Least Treatment Combinations, H.-S. Jacob Tsao, Minnie Patel

Faculty Publications

2k Full factorial designs may be prohibitively expensive when the number of factors k is large. The most popular technique developed to reduce the number of treatment combinations is the fractional factorial design; confounding in estimating the model parameters naturally results in various resolution and aberration levels. While very useful, these resolution levels may not satisfy experimenters’ requirements for estimatibility and cost reduction. For example, while Resolution V ensures a common requirement that no two-factor interactions are confounded, it also imposes an often undesired restriction that a main effect cannot be confounded with a three-factor interaction, which may very well …