In 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. / Ph. D.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/37188 |
| Date | 12 January 2010 |
| Creators | Wine, R. Lowell |
| Contributors | Statistics |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | English |
| Detected Language | English |
| Type | Dissertation, Text |
| Format | 145 leaves, BTD, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 20545015, LD5655.V856_1955.W563.pdf |
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