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Equating Test Scores—A Maximum Likelihood Solution

Published online by Cambridge University Press:  01 January 2025

Frederic M. Lord
Frederic M. Lord*
Affiliation:
Educational Testing Service
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Abstract

Certain problems of equating are discussed. The maximum likelihood solution is presented for the following special equating problem: Two tests, U and V, are to be equated, making use of a third “anchor” test, W. The examinees are divided into two random halves. Tests U and W are administered to one half; tests V and W are administered to the other half. It is assumed that any practice effect or other effect, exerted by U and V on W, is the same for U and for V.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 3 , September 1955 , pp. 193 - 200
Copyright
Copyright © 1955 The Psychometric Society

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References

Flanagan, J. C.. Units, scores and norms. In Lindquist, E. F. (Eds.), Educational measurement (pp. 695–763). Washington, D. C.: American Council on Education, 1950Google Scholar
Gulliksen, H.. Theory of mental tests, New York: Wiley, 1950CrossRefGoogle Scholar
Karon, B. P.. The stability of equated test scores, Princeton, N. J.: Educational Testing Service, 1954Google Scholar
Lord, F. M.. Notes on comparable scales for test scores, Princeton, N. J.: Educational Testing Service, 1950CrossRefGoogle Scholar