Two-level factorial and fractional factorial replicates in blocks of size two

J.D. Godolphin

Computational Statistics & Data Analysis, 2019, vol. 133, issue C, 120-137

Abstract: For p two-level factors, designs comprising full replicates with runs in blocks of size two are investigated. The minimum number of replicates for estimation of all main effects and two-factor interactions is established and a construction method is developed based on replicate generators. Complete design classes are given in the minimum number of replicates for p≤15. Designs in full replicates are used as root designs to obtain designs in fractional 2p−r replicates, again to estimate main effects and two-factor interactions, and designs are recommended for p=4,…,15. Guidance is given on design construction when only a subset of the interactions is of interest.

Keywords: Confounding; Design of experiments; Factorial effect; Fraction generator; Replicate generator (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:133:y:2019:i:c:p:120-137

DOI: 10.1016/j.csda.2018.09.006

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