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Estimation of Latent Ability Using a Response Pattern of Graded Scores

Published online by Cambridge University Press:  01 January 2025

Fumiko Samejima
Fumiko Samejima*
Affiliation:
The University of New Brunswick Fredericton, Canada
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Extract

This monograph is a part of a more comprehensive treatment of estimation of latent traits, when the entire response pattern is used.

The fundamental structure of the whole theory comes from the latent trait model, which was initiated by Lazarsfeld as the latent structure analysis [Lazarsfeld, 1959], and also by Lord and others as a theory of mental test scores [Lord, 1952]. Similarities and differences in their mathematical structures and tendencies were discussed by Lazarsfeld [Lazarsfeld, 1960] and the recent book by Lord and Novick with contributions by Birnbaum [Lord & Novick, 1968] provides the dichotomous case of the latent trait model in the context of mental measurement.

Type
Original Paper
Information
Psychometrika , Volume 34 , Issue S1 , March 1969 , pp. 1 - 97
Copyright
Copyright © 1969 The Psychometric Society

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References

Birnbaum, A. Efficient design and use of tests of a mental ability for various decision making problems. Series Report No. 58-16, 1957, Texas: USAF School of Aviation Medicine, Randolph Air Force Base.Google Scholar
Birnbaum, A. On the estimation of mental ability. Series Report No. 15, 1958, Texas: USAF School of Aviation Medicine, Randolph Air Force Base.Google Scholar
Birnbaum, A. Further considerations of efficiency in tests of a mental ability. Technical Report No. 17, 1958, Texas: USAF School of Aviation Medicine, Randolph Air Force Base.Google Scholar
Indow, T., & Samejima, F. LIS measurement scale for non-verbal reasoning ability, 1962, Tokyo: Nippon Bunka Kagakusha.Google Scholar
Indow, T., & Samejima, F. On the results obtained by the absolute scaling model and the Lord model in the field of intelligence. Third Report of the Psychological Laboratory on the Hiyoshi Campus, 1966, Japan: Keio University.Google Scholar
Kendall, M. G., & Stuart, A. The advanced theory of statistics. Vol. 2. London: Griffin, 1961.Google Scholar
Lazarsfeld, P. F. Latent structure analysis. In Koch, S. (Ed.), Psychology: A study of a science. Vol. 3. New York: McGraw-Hill, 1959.Google Scholar
Lazarsfeld, P F Latent structure analysis and test theory. In Gulliksen, H. and Messick, S. (Eds.), Psychological scaling: Theory and applications, 1960, New York: Wiley.Google Scholar
Lord, F M A theory of test scores. Psychometric Monographs, 1952.Google Scholar
Lord, F M An application of confidence intervals and of maximum likelihood to the estimation of an examinee's ability. Psychometrika, 1953, 18, 57–76.CrossRefGoogle Scholar
Lord, F M, & Novick, M R. Statistical theories of mental test scores, 1968, Reading, Mass.: Addison-Wesley.Google Scholar
Noryoku-Kaihatsu-Kenkyujo Educational Test Research Institute. Manual for scholastic aptitude test, 1966, Tokyo: Noryoku-Kaihatsu-Kenkyujo.Google Scholar
Samejima, F. Development and application of Lord's theory of test scores. Bulletin of Nippon Research Center, 1962, 1(1), 60–69.Google Scholar
Samejima, F. Scale construction when grades are introduced to the responses to each item. Bulletin of Nippon Research Center, 1962, 1(2), 61–74.Google Scholar
Samejima, F. A general model for the operating characteristic of graded item response. The L. L. Thurstone Psychometric Laboratory Report, Chapel Hill, North Carolina: The University of North Carolina, 1967, 55.Google Scholar
Samejima, F. Estimation of latent ability using a response pattern of graded scores. Research Bulletin, Princeton, New Jersey: Educational Testing Service, 1962, 2.Google Scholar
Samejima, F. General considerations on the homogeneous case of graded item response. The L. L. Thurstone Psychometric Laboratory Report, Chapel Hill, North Carolina: The University of North Carolina, 1968, 57.Google Scholar

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