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Bayesian estimation of number of the questions unfamiliar with the examinee in variant I of probabilistic model of double choice test. (English) Zbl 0851.62085

Summary: In connection with the analysis of achievements tests with double choice response it is possible to construct two variants of mathematical models describing the probability structure of such tests. Variant I [see the author’s papers, ibid. 31, 119-126 (1992; Zbl 0825.62747); ibid., 126-146 (1992; Zbl 0825.62748)] proceeds from the assumption that when the tested person is really familiarwith the topic of the question, he or she will select the correct responses among the offered alternatives. Then on the basis of a single application of the test it is possible to derive Bayesian estimation of the number of the questions with which the examinee is really familiar.

MSC:

62P15 Applications of statistics to psychology
62F15 Bayesian inference
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References:

[1] Tesaříková E.: Probabilistic model of school-achievement test with double-choice response - variant I. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 105, Math. 31 (1992), 119-126. · Zbl 0825.62747
[2] Tesaříková E.: Statistical analysis of probabilistic model - variant I of the school-achievement test with double choice response. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 105, Math. 31 (1992), 126-147. · Zbl 0825.62748
[3] Tesaříková E.: Variant II of probabilistic model of school-achievement test with double-choice response. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 110, Math. 32 (1993), 159-164. · Zbl 0806.62091
[4] Tesaříková E.: Statistical analysis of variant II of probabilistic model of the school-achievement test with double choice response. Acta Univ. Palacki. Olomuc., Fac. rer. nat. 110, Math. 32 (1993), 165-175. · Zbl 0806.62092
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