Change-over designs

dc.contributor.authorMason, James Marken
dc.contributor.departmentStatisticsen
dc.date.accessioned2016-02-01T14:44:59Zen
dc.date.available2016-02-01T14:44:59Zen
dc.date.issued1970en
dc.description.abstractWhen it is necessary to apply several different treatments in succession to a given subject, the residual effect of one treatment on another must be taken into consideration. A number of various designs have been developed for this purpose. A number of them are presented in this paper and can be summarized as follows: Type I: Balanced for first-order residual effects. For n, the number of treatments, even, any number of Latin squares can be used; for n odd, an even number of squares is necessary. Type II: Formed by repeating the final period of Type I designs. Direct and residual effects are orthogonal. Type III: Formed from p<n corresponding rows of n-1 orthogonal nxn Latin squares. Type IV: Complete orthogonality except for subjects and residuals. Very efficient but large numbers of observations are necessary. Type V: Designs balanced for first and second order effects. Also formed from orthogonal Latin squares. Type VI: Designs orthogonal for direct, first and second order residuals. Designs presented for n=2, 3 and 5. Type VII: Orthogonal for linear, quadratic, ...components of direct and linear component of residual effects. Analysis includes linear direct x linear residual interaction. Designs given for n = 4, 5. Type VIII: Type II designs analyzed under model for Type VII designs. Less efficiency, but designs available for all n. Type IX: Designs useful for testing more than one treatment and direct x residual interactions. Analysis for most designs includes normal equations, analysis of variance, variances of estimates, expected mean squares, efficiencies and missing value formulas. A list of designs is presented in an appendix.en
dc.description.degreeMaster of Scienceen
dc.format.extentvi, 117 [2] leaves.en
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/64590en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 20289613en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1970.M38en
dc.subject.lcshExperimental designen
dc.titleChange-over designsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen
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