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Remarks on the Method of Paired Comparisons: II. The Effect of an Aberrant Standard Deviation when Equal Standard Deviations and Equal Correlations are Assumed

Published online by Cambridge University Press:  01 January 2025

Frederick Mosteller
Frederick Mosteller*
Affiliation:
Harvard University
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Abstract

If customary methods of solution are used on the method of paired comparisons for Thurstone's Case V (assuming equal standard deviations of sensations for each stimulus), when in fact one or more of the standard deviations is aberrant, all stimuli will be properly spaced except the one with the aberrant standard deviation. A formula is given to show the amount of error due to the aberrant stimulus.

Type
Original Paper
Information
Psychometrika , Volume 16 , Issue 2 , June 1951 , pp. 203 - 206
Copyright
Copyright © 1951 The Psychometric Society

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Footnotes

*

This research was performed in the Laboratory of Social Relations under a grant made available to Harvard University by the RAND Corporation under the Department of the Air Force, Project RAND.

†

Mosteller, Frederick. Remarks on the Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations. Psychometrika, 1951, 16, 3–9.