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The Area between Two Item Characteristic Curves

Published online by Cambridge University Press:  01 January 2025

Nambury S. Raju
Nambury S. Raju*
Affiliation:
Illinois Institute of Technology
*
Requests for reprints should be sent to Nambury S. Raju, Department of Psychology, Illinois Institute of Technology, Chicago, IL 60616.
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Abstract

Formulas for computing the exact signed and unsigned areas between two item characteristic curves (ICCs) are presented. It is further shown that when thec parameters are unequal, the area between two ICCs is infinite. The significance of the exact area measures for item bias research is discussed.

Keywords

item response theoryitem biasitem characteristic curves
Type
Original Paper
Information
Psychometrika , Volume 53 , Issue 4 , December 1988 , pp. 495 - 502
Copyright
Copyright © 1988 The Psychometric Society

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Footnotes

The author expresses his appreciation to Jeffrey A. Slinde, Stephen Steinhaus, Audrey Qualls-Payne, Ivo Molenaar, and two anonymous reviewers for their very helpful and constructive comments.

References

Bock, R. D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: An application of an EM algorithm. Psychometrika, 46, 443–459.CrossRefGoogle Scholar
Hambleton, R. K., & Swaminathan, H. (1985). Item response theory: Principles and applications, Boston, MA: Kluwer.Nijhoff.CrossRefGoogle Scholar
Ironson, G. H., & Subkoviak, M. J. (1979). A comparison of several methods of assessing bias. Journal of Educational Measurement, 16, 209–225.CrossRefGoogle Scholar
Linn, R. L., Levine, M. V., Hastings, C. N., & Wardrop, J. L. (1981). An investigation of item bias in a test of reading comprehension. Applied Psychological Measurement, 5, 159–173.CrossRefGoogle Scholar
Lord, F. M. (1980). Applications of item response theory to practical testing problems, Hillsdale, NJ: Erlbaum.Google Scholar
Oosterloo, S. (1984). Confidence intervals for test information and relative efficiency. Statistica Neerlandica, 38, 37–54.CrossRefGoogle Scholar
Rudner, L. M., Geston, P. R., & Knight, D. L. (1980). Biased item detection techniques. Journal of Educational Statistics, 5, 213–233.CrossRefGoogle Scholar
Rudner, L. M., Geston, P. R., & Knight, D. L. (1980). A Monte Carlo comparison of seven biased item detection techniques. Journal of Educational Measurement, 17, 1–10.CrossRefGoogle Scholar
Shepard, L. A., Camilli, G., & Averill, M. (1981). Comparison of procedures for detecting test-item bias with internal and external ability criteria. Journal of Educational Statistics, 6, 317–375.CrossRefGoogle Scholar
Shepard, L. A., Camilli, G., & Williams, D. M. (1984). Accounting for statistical artifacts in item bias research. Journal of Educational Statistics, 9, 93–128.CrossRefGoogle Scholar
Wright, B. D., & Stone, M. H. (1979). Best test design, Chicago, IL: Mesa.Google Scholar