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A Least Squares Solution for Paired Comparisons with Incomplete Data

Author(s):
Gulliksen, Harold O.
Publication Year:
1955
Report Number:
RB-55-05
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
15
Subject/Key Words:
Incomplete Designs, Least Squares Statistics, Paired Comparisons, Scaling

Abstract

A precise and rapid procedure has been devised for dealing with a matrix of incomplete data in paired comparisons. This method should increase the general applicability of paired comparisons since experiments involving large numbers of stimuli may now be shortened to feasible experimental proportions. Also we may now use sets of stimuli which cover a wide range resulting in a considerable number of 100% vs. 0% judgments, and still give a precise solution depending equally on each of the observations.

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