Abstract
When items cannot be answered correctly by guessing, certain two-stage testing procedures are about as effective over the ability range of interest as the “best” up-and-down procedures studied previously. When answers can be guessed correctly 20 percent of the time, no two-stage procedure is found to match the “best” up-and-down procedures over this ability range. Feet-on-the-desk designs for two-stage procedures may produce poor results.
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Birnbaum, A. Some latent trait models and their use in inferring an examinee's ability. In F. M. Lord and M. R. Novick,Statistical theories of mental test scores. Reading, Mass.: Addison-Wesley, 1968. Chap. 18.
Cronbach, L. J. and Gleser, G. C.Psychological tests and personnel decisions. (2nd ed.) Urbana, Ill.: University of Illinois Press, 1965.
Keston, H. Accelerated stochastic approximation.The Annals of Mathematical Statistics, 1958,29, 41–59.
Linn, R. L., Rock, D. A., and Cleary, T. A. The development and evaluation of several programmed testing methods.Educational and Psychological Measurement, 1969,29, 129–146.
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.
Lord, F. M. Some test theory for tailored testing. In W. H. Holtzman (Ed.),Computer assisted instruction, testing, and guidance. New York: Harper and Row, 1970. Chap. 8.
Lord, F. M. Robbins-Monro procedures for tailored testing.Educational and Psychological Measurement, 1971,31, 3–31.
Stocking, M. Short tailored tests. Research Bulletin 69-63 and ONR Technical Report, Contract N00014-69-C-0017. Princeton, N. J.: Educational Testing Service, 1969.
Wasan, M. T.Stochastic Approximation. Cambridge: Cambridge University Press, 1969.
Wetherill, G. B., Chen, H., and Vasudeva, R. B. Sequential estimation of quantal response curves: A new method of estimation.Biometrika, 1966,53, 439–454.
Wetherill, G. B. and Levitt, H. Sequential estimation of points on a psychometric function.British Journal of Mathematical and Statistical Psychology, 1965,18, 1–10.
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This work was supported in part by contract N-00014-69-C-0017, project designation NR 150-303, 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.
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Lord, F.M. A theoretical study of two-stage testing. Psychometrika 36, 227–242 (1971). https://doi.org/10.1007/BF02297844
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DOI: https://doi.org/10.1007/BF02297844