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Estimating item parameters and latent ability when responses are scored in two or more nominal categories. (English) Zbl 0233.62016


MSC:

62F10 Point estimation
62F99 Parametric inference

Software:

mcIRT
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Full Text: DOI

References:

[1] Aitchison, J. and Silvey, S. D. The generalization of probit analysis to the case of multiple responses.Biometrika, 1957,44, 131–140. · Zbl 0080.36303
[2] Beck, S. J.Rorschach’s test, Vol. I. New York: Grune & Stratton, 1950.
[3] Birnbaum, A. Estimation of ability. In F. M. Lord and M. Novick,Statistical theories of test scores. Reading, Mass.: Addison-Wesley, 1968.
[4] Bock, R. D. Estimating multinomial response relations. In R. C. Bose, et al. (Eds.),Essays in probability and statistics. University of North Carolina Press, Chapel Hill, 1970, p. 453–479. · Zbl 0237.62044
[5] Bock, R. D. and Jones, L. V.The measurement and prediction of judgment and choice, San Francisco: Holden-Day, 1968.
[6] Bock, R. D. and Lieberman, M. L. Fitting a response model forn dichotomously scored items.Psychometrika, 1970,35, 179–197.
[7] Gumbel, E. J. Bivariate logistic distributions.Journal of the American Statistical Association, 1961,56, 335–349. · Zbl 0099.14502
[8] Kendall, M. G. and Stuart, A.The advanced theory of statistics, Vol. II, London: Griffin 1961. · Zbl 0416.62001
[9] Lord, F. M. An analysis of the verbal scholastic aptitude test using Birnbaum’s three-parameter logistic model.Educational and Psychological Measurement, 1968,28, 989–1200.
[10] Luce, R. D.Individual choice behavior, New York: Wiley, 1959. · Zbl 0093.31708
[11] Samejima, F. Estimation of latent ability using a response pattern of graded scores.Psychometrika, Monograph Supplement, No.17, 1969.
[12] Stroud, A. H. and Secrest, Don.Gaussian quadrature formulas, Englewood Cliffs, N. J.: Prentice-Hall, 1966. · Zbl 0156.17002
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