A power study of multiple range and multiple F tests

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dc.contributor.authorWine, R. Lowellen
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T21:08:45Zen
dc.date.adate2010-01-12en
dc.date.available2014-03-14T21:08:45Zen
dc.date.issued1955en
dc.date.rdate2010-01-12en
dc.date.sdate2010-01-12en
dc.description.abstractIn the study of multiple comparisons tests the following topics were discussed: (i) extension to the general case of certain properties and results which previously had been given for three and four means only, (ii) power vectors and average power, (iii) expressions of power for the multiple range tests and for the multiple F test involving only three means, and (iv) methods for evaluating power. These four topics are amplified in order in the four paragraphs below. A set of recursion formulas was obtained for enumerating the decision patterns for n means. x<sub>i</sub> was given by the equation See: Equation where i = 1, 2,...,n-1. In IV, formulas were derived which express d<sub>j,i+1</sub> as a function of the x<sub>i</sub>. This made possible the writing of the bounding equations for any decision region involving n means. The regions (1,2), (1,2,3), (1,2,4), ..., (1,2....,n) for the multiple range tests were described in the sample-space of differences among n means.en
dc.description.degreePh. D.en
dc.format.extent145 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-01122010-020231en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-01122010-020231/en
dc.identifier.urihttp://hdl.handle.net/10919/37188en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1955.W563.pdfen
dc.relation.isformatofOCLC# 20545015en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1955.W563en
dc.subject.lcshMultiple comparisons (Statistics)en
dc.titleA power study of multiple range and multiple F testsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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