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THE LOGISTIC TRANSFORMATION IN THE ANALYSIS OF PAIRED‐COMPARISON DATA
Author(s) -
Maxwell A. E.
Publication year - 1974
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1974.tb00528.x
Subject(s) - additive function , transformation (genetics) , mathematics , preference , statistics , scale (ratio) , logistic regression , object (grammar) , paired comparison , econometrics , artificial intelligence , computer science , mathematical analysis , chemistry , geography , biochemistry , cartography , gene
The desirability that scores on a preference scale should be additive is first demonstrated. It is then shown that when the logistic transformation of the proportion of preferences for an object in a paired‐comparison experiment is used as a scoring device additivity is achieved when preferences between pairs of objects are made independently and the preferences are consistent. An example is given to show how the analysis of paired‐comparison data may conveniently be carried out, a test of additivity performed, and scale values for the objects derived.