Hostname: page-component-7857688df4-zx5rz Total loading time: 0 Render date: 2025-11-18T06:02:55.952Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparatal Dispersion, a Measure of Accuracy of Judgment

Published online by Cambridge University Press:  01 January 2025

Harold Gulliksen
Harold Gulliksen*
Affiliation:
Princeton University and Educational Testing Service
Get access Rights & Permissions [Opens in a new window]

Abstract

It is suggested that the ambiguity of a set of paired comparison judgments may be measured by the quantity √σi2 + σj2 − 2rijσiσi, This quantity is termed the comparatal dispersion. A simultaneous solution for scale values and ratios of comparatal dispersions has been presented and applied to some data on food preferences.

Information

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 2 , June 1958 , pp. 137 - 150
Copyright
Copyright © 1958 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

*

This research was jointly supported in part by Princeton University, the Office of Naval Research under contract Nonr-1858(15), and the National Science Foundation under grant NSF G-642, and in part by Educational Testing Service. Reproduction in whole or in part is permitted for any purpose of the United States Government.

References

Finney, D. J. The distribution of the ratio of estimates of the two variances in a sample from a normal bi-variate population. Biometrika, 1938, 30, 190–192.Google Scholar
Gulliksen, H. A least squares solution for paired comparisons with incomplete data. Psychometrika, 1956, 21, 125–134.CrossRefGoogle Scholar
Gulliksen, H. Measurement of subjective values. Psychometrika, 1956, 21, 229–244.CrossRefGoogle Scholar
Kenny, D. T. Testing of differences between variances based on correlated variates. Canad. J. Psychol., 1953, 7, 25–28.CrossRefGoogle Scholar
Morgan, W. A. A test for the significance of the difference between the two variances in a sample from a normal bi-variate population. Biometrika, 1939, 31, 13–19.Google Scholar
Pitman, E. J. G. A note on normal correlation. Biometrika, 1939, 31, 9–12.CrossRefGoogle Scholar
Rao, C. R. Advanced statistical methods in biometric research, New York: Wiley, 1952.Google Scholar
Thurstone, L. L. A law of comparative judgment. Psychol. Rev., 1927, 34, 273–286.CrossRefGoogle Scholar
Thurstone, L. L. A mental unit of measurement. Psychol. Rev., 1927, 34, 415–423.CrossRefGoogle Scholar
Thurstone, L. L. Psychophysical analysis. Amer. J. Psychol., 1927, 38, 368–389.CrossRefGoogle Scholar
Thurstone, L. L. and Jones, L. V. The rational origin for measuring subjective values. J. Amer. statist. Ass., 1957, 52, 458–471.Google Scholar
Whittaker, E. T. and Robinson, G. The calculus of observations, London: Blackie, 1929.Google Scholar
Yarrow, L. J. The effect of antecedent frustration on projective play. Psychol. Monogr., 1948, 62, 6.CrossRefGoogle Scholar