Title
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A comparison of two-level designs to estimate all main effects and two-factor interactions
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Author
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Abstract
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We compare cost-efficient alternatives for the full factorial 2(4) design, the regular 2(5-1) fractional factorial design, and the regular 2(6-1) fractional factorial design that can fit the model consisting of all the main effects as well as all the two-factor interactions. For 4 and 5 factors we examine orthogonal arrays with 12 and 20 runs, respectively. For 6 factors we consider orthogonal arrays with 24 as well as 28 runs. We consult complete catalogs of two-level orthogonal arrays to find the ones that provide the most efficient estimation of all the effects in the model. We compare these arrays with D-optimal designs found using a coordinate exchange algorithm. The D-optimal designs are always preferable to the most efficient orthogonal arrays for fitting the full model in all the factors. |
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Language
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English
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Source (journal)
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Quality engineering
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Publication
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2016
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ISSN
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0898-2112
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DOI
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10.1080/08982112.2015.1136829
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Volume/pages
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28
:4
(2016)
, p. 369-380
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ISI
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000381584700001
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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