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Construction of row–column factorial designs
Author(s) -
Godolphin J. D.
Publication year - 2019
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/rssb.12305
Subject(s) - fractional factorial design , column (typography) , replicate , factorial , factorial experiment , mathematics , factor (programming language) , plackett–burman design , statistics , computer science , algorithm , combinatorics , geometry , programming language , mathematical analysis , response surface methodology , connection (principal bundle)
Summary The arrangement of 2 n ‐factorials in row–column designs to estimate main effects and two‐factor interactions is investigated. Single‐replicate constructions are given which enable estimation of all main effects and maximize the number of estimable two‐factor interactions. Constructions and guidance are given for multireplicate designs in single arrays and in multiple arrays. Consideration is given to constructions for 2 n − t fractional factorials.