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The Scaling of Test Scores by the Method of Paired Comparisons

Published online by Cambridge University Press:  01 January 2025

Louise T. Grossnickle
Louise T. Grossnickle*
Affiliation:
The University of Chicago
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Abstract

The purpose of this study is to investigate, by the method of paired comparisons, a possible scaling of individuals who have made certain test scores, such that the additive property will be satisfied and such that a stability in scaling will be maintained,—in other words, a scaling such that the scaled score of an individual will remain relatively the same regardless of the grouping of individuals in which he may be placed. The results show that it is possible to utilize psychophysical methods in psychological and educational test situations. Among the major findings are that Case V of the Law of Comparative Judgment is applicable to the data in this problem, the method of dividing the intermediate category equally between the greater and the less was the best of three possible methods, internal consistency was satisfied, and, finally, when a new test of stability was applied, it was found that the distances between the hypothetical individuals remain the same.

Type
Original Paper
Information
Psychometrika , Volume 7 , Issue 1 , February 1942 , pp. 43 - 64
Copyright
Copyright © 1942 The Psychometric Society

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Footnotes

*

The writer wishes to express appreciation for the invaluable help and guidance of Professor Harold O. Gulliksen and also to Professor Marion W. Richardson who suggested the problem and made valuable suggestions.

References

Fisher, R. A. Statistical methods for research workers 7th ed., London: Oliver & Boyd, 1938.Google Scholar
Guilford, J. P. Psychometric methods, New York: McGraw-Hill Book Company, 1936.Google Scholar
Lindquist, A. E. Statistical analysis in educational research, Boston: Houghton Mifflin Company, 1940.Google Scholar
Mosier, Charles I. Psychophysics and Mental Test Theory: Fundamental Postulates and Elementary Theorems. Psychol. Review, 1940, 47, 355–366.CrossRefGoogle Scholar
Peatman, John G. On the meaning of a test score in psychological measurement. Amer. J. Orthopsychiatry, 1939, 9, 23–47.CrossRefGoogle Scholar
Thurstone, L. L. A law of comparative judgment. Psychol. Review, 1927, 34, 273–286.CrossRefGoogle Scholar
Thurstone, L. L. A mental unit of measurement. Psychol. Review, 1927, 34, 415–423.CrossRefGoogle Scholar
Thurstone, L. L. An experimental study of nationality preferences. J. Gen. Psychol., 1928, 1, 405–425.CrossRefGoogle Scholar
Thurstone, L. L. Attitudes can be measured. Amer. J. Sociol., 1928, 33, 529–554.CrossRefGoogle Scholar
Thurstone, L. L. Equally often noticed differences. J. Educ. Psychol., 1927, 18, 289–293.CrossRefGoogle Scholar
Thurstone, L. L. Psychophysical analysis. Amer. J. Psychol., 1927, 38, 368–389.CrossRefGoogle Scholar
Thurstone, L. L. The measurement of opinion. J. Abn. Soc. Psychol., 1928, 22, 415–430.CrossRefGoogle Scholar
Thurstone, L. L. Three psychophysical laws. Psychol. Review, 1927, 34, 424–432.CrossRefGoogle Scholar
Trealor, A. E. Elements of statistical reasoning, New York: John Wiley & Sons, 1939.Google Scholar