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dc.contributor.advisorBarr, Donald R.
dc.contributor.authorJohnson, John Earl
dc.dateMarch 1976
dc.date.accessioned2012-11-16T18:48:17Z
dc.date.available2012-11-16T18:48:17Z
dc.date.issued1976-03
dc.identifier.urihttp://hdl.handle.net/10945/17857
dc.description.abstractApplications of the general linear model in experimental design and analysis usually involve design matrices of less than full column rank. This may present a problem in determining what elements and functions of the parameter vector are estimable and what hypotheses are testable. This thesis discusses two methods of answering questions about estimability and testability, where the form of the design matrix determines the method to be used. The two methods, both of which can use computer routines, are: (1) direct mathematical computational approach, and (2) a modification of an analysis of variance routine, with a special case of this method using a modified ANOVA routine and solutions to systems of linear equations. Confounding of effects is developed mathematically in connection with determining estimable functions. Methods discussed in this thesis can be applied to the area of Army Test and Evaluation.
dc.description.urihttp://archive.org/details/amethodofdetermi1094517857
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
dc.titleA method of determining estimable functions and testable hypotheses in experimental designen_US
dc.typeThesisen_US
dc.contributor.secondreaderRichards, F.R.
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.contributor.departmentOperations Research and Administrative Sciences
dc.description.serviceCaptain, United States Army
etd.thesisdegree.nameM.S. in Operations Researchen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineOperations Researchen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US
dc.description.distributionstatementApproved for public release; distribution is unlimited.


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