Abstract
The conventional IRT models—that is, those for which the probability of examinee j correctly answering item i is P i (θ i ), θ being ability and P being an increasing function—make no allowance for the examinee having partial information about the question asked. The models are unable to predict what might happen in situations which allow the partial information to be shown. Relations between probabilities of correctness in different formats of test—for example, with different numbers of options to choose from, or permitting a second attempt at items initially answered wrongly—do not fall within their scope.
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References
Bock, R.D. (1972). Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika 37, 29–51.
Frary, R.B. and Hutchinson, T.P. (1982). Willingness to answer multiple-choice questions, as manifested both in genuine and in nonsense items. Educational and Psychological Measurement 42, 815–821.
García-Pérez, M.A. (1985). A finite state theory of performance in multiple-choice tests. In E.E. Roskam and R. Suck (eds.), Progress in Mathematical Psychology (Vol. 1, pp. 455–464 ). Amsterdam: Elsevier.
García-Pérez, M.A. and Frary, R.B. (1989). Testing finite state models of performance in objective tests using items with `None of the above’ as an option. In J.P. Doignon and J.C. Falmagne (eds.), Mathematical Psychology: Current Developments (pp. 273–291 ). Berlin: Springer-Verlag.
Hutchinson, T.P. (1977). On the relevance of signal detection theory to the correction for guessing. Contemporary Educational Psychology 2, 50–54.
Hutchinson, T.P. (1982). Some theories of performance in multiple choice tests, and their implications for variants of the task. British Journal of Mathematical and Statistical Psychology 35, 71–89.
Hutchinson, T.P. (1986). Evidence about partial information from an answeruntil-correct administration of a test of spatial reasoning. Contemporary Educational Psychology 11, 264–275.
Hutchinson, T.P. (1991). Ability, Partial Information, Guessing: Statistical Modelling Applied to Multiple-Choice Tests. Adelaide: Rumsby Scientific Publishing.
Hutchinson, T.P. and Barton, D.C. (1987). A mechanical reasoning test with answer-until-correct directions confirms a quantitative description of partial information. Research in Science and Technological Education 5, 93–101.
Kolstad, R.K. and Kolstad, R.A. (1989). Strategies used to answer MC test items by examinees in top and bottom quartiles. Educational Research Quarterly 13, 2–5.
Snow, R.E. and Lohman, D.F. (1989). Implications of cognitive psychology for educational measurement. In R.L. Linn (ed.), Educational Measurement (3rd ed., pp. 263–331 ). New York: Macmillan.
Ziller, R.C. (1957). A measurement of the gambling response-set in objective tests. Psychometrika 22, 289–292.
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Hutchinson, T.P. (1997). Mismatch Models for Test Formats that Permit Partial Information to be Shown. In: van der Linden, W.J., Hambleton, R.K. (eds) Handbook of Modern Item Response Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2691-6_28
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DOI: https://doi.org/10.1007/978-1-4757-2691-6_28
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