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dc.contributor.advisorChairperson, Graduate Committee: John J. Borkowski.en
dc.contributor.authorThompson, Nicolas Ray.en
dc.date.accessioned2013-06-25T18:37:00Z
dc.date.available2013-06-25T18:37:00Z
dc.date.issued2011en
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/2420
dc.description.abstractCentral Composite Designs (CCDs) with cuboidal and spherical regions are among the most popular experimental designs for studying response surfaces. Cuboidal regions are typically used when the experimenter believes the levels of one or more of the factors are bounded while a spherical region is employed when there are no restrictions on the levels of any of the factors. We propose what we call a cylindrical design in which the levels of some factors are restricted while the other factors' levels need not be. Assuming the use of a second-order model, we give the general form for the model matrix X of such a design and give a closed form for the determinant of the X 0X matrix as well as its inverse. We use the results for the determinant and inverse of X 0X to compare designs using the alphabetic design optimality criteria. D-efficiencies, A-efficiencies, G-efficiencies, and IV-efficiencies for CCDs will be compared with those of the cylindrical design. Graphical assessment of the maximum spherical prediction variance will also be done. It will be shown that the cylindrical design is an excellent alternative when some but not all factors have restricted levels.en
dc.language.isoengen
dc.publisherMontana State University - Bozeman, College of Letters & Scienceen
dc.subject.lcshResponse surfaces (Statistics).en
dc.titleCylindrical designs for response surface studies
dc.typeThesis
dc.rights.holderCopyright Nicolas Ray Thompson 2011en
thesis.catalog.ckey1823733en
thesis.degree.committeemembersMembers, Graduate Committee: James Robison-Cox; Mark Greenwooden
thesis.degree.departmentMathematical Sciences.en
thesis.degree.genreThesisen
thesis.degree.nameMSen
thesis.format.extentfirstpage1en
thesis.format.extentlastpage104en
mus.identifier.categoryPhysics & Mathematics
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US


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