Two-level Factorial and Fractional Factorial Replicates in Blocks of Size Two

Godolphin, J.D. (2019) Two-level Factorial and Fractional Factorial Replicates in Blocks of Size Two Computational Statistics and Data Analysis, 133. pp. 120-137.

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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 are of interest.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Name Email ORCID Godolphin, J.D. J.Godolphin@surrey.ac.uk
Date :	May 2019
DOI :	10.1016/j.csda.2018.09.006
Copyright Disclaimer :	© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Depositing User :	Clive Harris
Date Deposited :	19 Sep 2018 09:42
Last Modified :	26 Sep 2019 02:08
URI:	http://epubs.surrey.ac.uk/id/eprint/849353

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