A study of nonadditivity in factorial experiments with no replication

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dc.contributor.author Farmer, Charles
dc.contributor.department Statistics
dc.date 2018-08-16T23:40:52.000
dc.date.accessioned 2020-07-02T06:05:39Z
dc.date.available 2020-07-02T06:05:39Z
dc.date.copyright Wed Jan 01 00:00:00 UTC 1986
dc.date.issued 1986
dc.description.abstract <p>Suppose that d experimental treatments, each at a number of levels, are applied to a group of subjects in such a way that each treatment combination is assigned to one, and only one, subject. This is the makeup of a factorial experiment. If the assignment of treatment combinations to subjects is random, standard techniques have long been available for examining the effects of differing levels within a treatment. In this thesis we seek a technique for examining the effects of differing combinations of levels between treatments;For the simplest case, that of two treatments (or factors), we describe a number of techniques; some based on mathematical models, and some based on the rank of a matrix. We extend these techniques to the case where not all levels of one of the treatments are used, but only a random sample of levels. We also supply a procedure for choosing the appropriate technique;When more than one response variable is measured on each subject, the problem becomes a bit more complicated, since these variables may well be correlated. However, we are still able to provide a partial solution to the above problem;The case of three treatments, which, when solved, should suggest a general technique, is also examined here. Although by no means a complete solution, the techniques described present a solid basis for further study.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/8245/
dc.identifier.articleid 9244
dc.identifier.contextkey 6331072
dc.identifier.doi https://doi.org/10.31274/rtd-180813-6885
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/8245
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/81212
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/8245/r_8703704.pdf|||Sat Jan 15 02:08:40 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.title A study of nonadditivity in factorial experiments with no replication
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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