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A Least Squares Solution for Successive Intervals and Paired Comparisons, Assuming Unequal Standard Deviations and Equal Intercorrelations

Author(s):
Gulliksen, Harold O.
Publication Year:
1951
Report Number:
RB-51-25
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
29
Subject/Key Words:
Correlation, Least Squares Statistics, Paired Comparisons, Scaling

Abstract

The methods of successive intervals and paired comparisons in which the standard deviations of the stimuli are equal are briefly discussed. It is demonstrated that "there are many occasions for utilizing the method of successive intervals or paired comparisons, assuming unequal standard deviations... and that a least squares solution for this case would be useful in many different experimental situations." This paper derives and illustrates a least squares solution assuming these unequal standard deviations for both successive intervals and paired comparisons. (JGL)

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