The application of matrix theory to optimal design experiments : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy at Massey University

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dc.contributor.authorThomas, Vernon John
dc.date.accessioned2012-09-28T03:50:13Z
dc.date.available2012-09-28T03:50:13Z
dc.date.issued1975
dc.description.abstractA development of the theory of optimum experimental design is presented. The notation and proofs are in terms commonly used by statisticians, rather than in the earlier measure theory terms. The D-optimality equivalence theorem is extended to the singular case, and similar results derived for a number of other criteria. Atwood's theorem for special n-tic polynomials is extended to the case where not all parameters are of interest. Finally methods of constructing optimal designs are considered and extended to allow deletion of unsatisfactory points, and some numerical examples are included.en
dc.identifier.urihttp://hdl.handle.net/10179/3843
dc.language.isoenen
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectMathematical optimisationen
dc.titleThe application of matrix theory to optimal design experiments : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy at Massey Universityen
dc.typeThesisen
massey.contributor.authorThomas, Vernon Johnen
thesis.degree.grantorMassey Universityen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophy (Ph.D.)en
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