2006
DOI: 10.1002/cplx.20123
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Regularities in data from factorial experiments

Abstract: This article documents a meta-analysis of

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Cited by 110 publications
(74 citation statements)
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“…The methods assume that the direction of the effects of the active variables tend to be monotonic. This regularity was seldom investigated in literature, and was proven to be valid when the system regularities of Bergquist et al (2011) and Li et al (2006) are present, as explained in Al Rashdan (2014. In addition, the methods evaluated the validity of this assumption at an early stage of their application.…”
Section: Introductionmentioning
confidence: 88%
“…The methods assume that the direction of the effects of the active variables tend to be monotonic. This regularity was seldom investigated in literature, and was proven to be valid when the system regularities of Bergquist et al (2011) and Li et al (2006) are present, as explained in Al Rashdan (2014. In addition, the methods evaluated the validity of this assumption at an early stage of their application.…”
Section: Introductionmentioning
confidence: 88%
“…As a first approximation, however, it is sufficient to estimate only the linear (i.e., main) effects because nonlinear and interaction effects are often much smaller than main effects; see, for example, pages 192, 230, 272, 314, and 329 in Montgomery (2009) and pages 33-34 in Li et al (2006). For this reason a linear regression-based model is adequate.…”
Section: Statistical Modelmentioning
confidence: 99%
“…Since main and low-order interaction effects are part of high-order effects, knowledge of the latter ones is more important. Interactions of level 4 and above are highly unlikely [17]. Hence, a half fractional factorial design is chosen, which is a specific type of DoE that reduces the number of tests by 50% compared to testing all the possible combinations of factors and levels and that is able to map interaction effects up to level 3.…”
Section: Methodsmentioning
confidence: 99%