Orthogonal Main-Effect Plans Permitting Estimation of All Two-Factor Interactions for the 2n3mFactorial Series of Designs
作者:
BarryH. Margolin,
期刊:
Technometrics
(Taylor Available online 1969)
卷期:
Volume 11,
issue 4
页码: 747-762
ISSN:0040-1706
年代: 1969
DOI:10.1080/00401706.1969.10490735
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
If we assume no higher order interactions for the 2n3mfactorial series of designs, then relaxing the restrictions concerning equal frequency for the factors and complete orthogonality for each estimate permits considerable savings in the number of runs required to estimate all the main effects and two-factor interactions. Three construction techniques are discussed which yield designs providing orthogonal estimates of all the main effects and allowing estimation of all the two-factor interactions. These techniques are: (i) collapsing of factors in symmetrical fractionated 3m–pdesigns, (ii) conjoining fractionated designs, and (iii) combinations of (i) and (ii). Collapsing factors in a design either maintains or increases the resolution of the original design, but does not decrease it. Plans are presented for certain values of (n, m) as examples of the construction techniques. Systematic methods of analysis are also discussed.
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