Type of Document	Master's Thesis
Author	Abelson, Robert M.
URN	etd-09082012-040333
Title	A ranking experiment with paired comparisons and a factorial design
Degree	Master of Science
Department	Statistics
Advisory Committee	Advisor Name Title Bradley, Ralph A. Committee Chair Harshbarger, Boyd Committee Member Johnston, G. Burke Committee Member Pardue, Louis A. Committee Member
Keywords	Factorial experiment designs
Date of Defense	1952-09-05
Availability	restricted
Abstract A method is presented for analysing a 2 x 2 fectoriel experiment in which the data consist cf relative rankings in pairwise comparisons. Maximum likelihood estimates are developed for the ratings of the various levels of each factor und for the treatment combinations. Likelihood ratio tests of the most important hypotheses likely to arise are derived in detail. The large sample approximations are used. In addition, the method is presented in a manner such that tests of other hypotheses in which the experimenter might be interested can easily be derived. The equations for the analysis of a factorial design of arbitrary size are presented, It can be seen, however, that the complexity of these equations render an attempt at their solution impractical in most cases and more work must be done if a useful method of analysing experiments of this, type is to be found.
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