Minimum Aberration Regular Two-Level Designs in the Presence of Dispersion Factors

Ya-Chun Hsiao, Chen-Tuo Liao and Li-Yu D. Liu

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 13, 2764-2773

Abstract: In practice, the variance of the response variable may change as some specific factors change from one setting to another in a factorial experiment. These factors affecting the variation of the response are called dispersion factors, which can violate the usual assumption of variance homogeneity. In this study, we modify the conventional minimum aberration criterion to take the impact of dispersion factors into account. The situations of one or two dispersion factors are investigated. As a result, we present regular 2n − p designs with run sizes equal to 16 and 32 using the modified minimum aberration criterion.

Date: 2015
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DOI: 10.1080/03610926.2013.791373

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