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Virginia Tech

A ranking experiment with paired comparisons and a factorial design

Abstract

dc:description.abstract

A method is presented for analysing a 2 x 2 factorial 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.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Statistics
Department dc:contributor.department
Statistics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1952

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Abelson, Robert M.
Chair dc:contributor.committeechair
  • Bradley, Ralph A.
Committee members dc:contributor.committeemember
  • Pardue, Louis A.
  • Johnston, G. Burke
  • Harshbarger, Boyd

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-09082012-040333
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/44660

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Abelson, Robert M.. A ranking experiment with paired comparisons and a factorial design. masters thesis, Virginia Tech, 1952. http://hdl.handle.net/10919/44660