The choice of screening design |
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| Authors: | John Tyssedal Muhammad Azam Chaudhry |
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| Affiliation: | Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), Trondheim, Norway |
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| Abstract: | A screening design is an experimental plan used for identifying the expectedly few active factors from potentially many. In this paper, we compare the performances of 3 experimental plans, a Plackett‐Burman design, a minimum run resolution IV design, and a definitive screening design, all with 12 and 13 runs, when they are used for screening and 3 out of 6 factors are active. The functional relationship between the response and the factors was allowed to be of 2 types, a second‐order model and a model with all main effects and interactions included. D‐efficiencies for the designs ability to estimate parameters in such models were computed, but it turned out that these are not very informative for comparing the screening performances of the 2‐level designs to the definitive screening design. The overall screening performance of the 2‐level designs was quite good, but there exist situations where the definitive screening design, allowing both screening and estimation of second‐order models in the same operation, has a reasonable high probability of being successful. |
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| Keywords: | definitive screening design factor screening minimum run resolution IV design Plackett‐Burman design |
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