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Maximum Likelihood Estimation of Item Response Parameters when Some Responses are Omitted

Published online by Cambridge University Press:  01 January 2025

Frederic M. Lord
Frederic M. Lord*
Affiliation:
Educational Testing Service
*
Reprint requests should be addressed to Frederic M. Lord, Educational Testing Service, Princeton, New Jersey 08541.
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Abstract

A theoretical model is given for dealing with omitted responses. Two special cases are investigated.

Keywords

guessingitem response theorylatent trait theoryformula scoringcorrection for guessing
Type
Notes And Comments
Information
Psychometrika , Volume 48 , Issue 3 , September 1983 , pp. 477 - 482
Copyright
Copyright © 1983 The Psychometric Society

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Footnotes

This work was supported in part by contract N00014-80-C-0402, project designation NR 150-453 between the Office of Naval Research and Educational Testing Service. Reproduction in whole or in part is permitted for any purpose of the United States Government.

References

Reference Notes

Wingersky, M. S., Barton, M. A., & Lord, F. M. LOGIST user's guide, Princeton, N.J.: Educational Testing Service, 1982.Google Scholar
Samejima, F. A new family of models for the multiple-choice item, Knoxville, Tenn.: Department of Psychology, University of Tennessee, 1979.CrossRefGoogle Scholar
Samejima, F. Final report: Efficient methods of estimating the operating characteristics of item response categories and challenge to a new model for the multiple-choice item, Knoxville, Tenn.: Department of Psychology, University of Tennessee, 1981.CrossRefGoogle Scholar

References

Bliss, L. B. A test of Lord's assumption regarding examinee guessing behavior on multiple-choice tests using elementary school students. Journal of Educational Measurement, 1980, 17, 147–153.CrossRefGoogle Scholar
Bock, R. D. Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika, 1972, 37, 29–51.CrossRefGoogle Scholar
Cross, L. H. & Frary, R. B. An empirical test of Lord's theoretical results regarding formula-scoring of multiple-choice tests. Journal of Educational Measurement, 1977, 14, 313–321.CrossRefGoogle Scholar
Davis, F. B. A note on the correction for chance success. Journal of Experimental Education, 1967, 36, 42–47.CrossRefGoogle Scholar
Lord, F. M. Estimation of latent ability and item parameters when there are omitted responses. Psychometrika, 1974, 39, 247–264.CrossRefGoogle Scholar
Lord, F. M. Applications of item response theory to practical testing problems, Hillsdale, N.J.: Lawrence Erlbaum Associates, 1980.Google Scholar
Samejima, F. Estimation of latent ability using a response pattern of graded scores. Psychometric Monograph No. 17, 1969.Google Scholar
Wingersky, M. S. LOGIST: a program for computing maximum likelihood procedures for logistic test models. In Hambleton, R. K. (Ed.), ERIBC Monograph on Applications of Item Response Theory. Vancouver, British Columbia: Educational Research Institute of British Columbia, in press.Google Scholar