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- W28248511 abstract "The regular resolution TV fractional factorial designs described in the have many desirable properties; main effect estimates are uncorrelatedand are unbiased by two-factor interactions, whilst estimates of the two-factorinteraction effects are limited to the identification of a significant orthogonalaliased string. An augmenting experiment is required to identify which interactionsin the string are significant and which are inert.In addition to the regular class of fractional designs there exist a seriesof minimum run non-regular resolution IV designs. These non-regular designscan be further divided into orthogonal and non-orthogonal designs. To examinen factors these designs require 2n runs and are generated from minimum runresolution III designs via the Box and Wilson foldover thereom. These designsusually result in a saving of runs when compared with the corresponding regularfractional designs. Orthogonal designs provide uncorrelated main effectestimates. However, the two-factor interaction effects are usually confoundedin an complex manner. Non-orthogonal designs provide correlated main effectestimates and also exhibit complex confounding in the two-factor interactionsubspace.This thesis examines a number of minimum run resolution IV non-regulardesigns and determines whether it is possible to search for and estimate asmall number of two-factor interactions without the need of augmenting trials.The orthogonal designs considered are the foldover designs generated from the12,20 and 24 factor Plackett and Burman designs, whilst the non-orthogonaldesigns considered are the foldover designs generated from the Yang 6 and 14factor designs and the Raghavarao 13 factor design. Unlike the regular factorialdesigns, some of these non-regular designs provide estimates of a smallnumber of two-factor interactions without the addition of augmenting trials.In particular the 20 and 24 factor Plackett and Burman foldover designs areshown to be resolution V in every set of 5 factors and to allow the search andestimation of up to two two-factor interactions. The foldovers of the Yang andRaghavarao designs allow the search and estimation of up to one two-factorinteraction.As the number of interactions considered gets larger, the search and estimationcannot be done for some values of the interaction effects. In thesecases a number of models are equally likely. In situations such as this augmentingtrials are discussed, and a technique is devised to deal with the designof augmenting trials. This thesis is also concerned with the analysis ofthese non-regular designs and two methods are presented to analyse searchdesigns which are illustrated through the examination of some simulated experiments." @default.
- W28248511 created "2016-06-24" @default.
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- W28248511 date "1997-01-01" @default.
- W28248511 modified "2023-09-24" @default.
- W28248511 title "Properties of some minimum run resolution IV designs" @default.
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