Change-over designs
| dc.contributor.author | Mason, James Mark | en |
| dc.contributor.department | Statistics | en |
| dc.date.accessioned | 2016-02-01T14:44:59Z | en |
| dc.date.available | 2016-02-01T14:44:59Z | en |
| dc.date.issued | 1970 | en |
| dc.description.abstract | When 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.degree | Master of Science | en |
| dc.format.extent | vi, 117 [2] leaves. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | http://hdl.handle.net/10919/64590 | en |
| dc.language.iso | en_US | en |
| dc.publisher | Virginia Polytechnic Institute and State University | en |
| dc.relation.isformatof | OCLC# 20289613 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.lcc | LD5655.V855 1970.M38 | en |
| dc.subject.lcsh | Experimental design | en |
| dc.title | Change-over designs | en |
| dc.type | Thesis | en |
| dc.type.dcmitype | Text | en |
| thesis.degree.discipline | Statistics | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | Master of Science | en |
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