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Applied Psychological Measurement
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Bounds on the k out of n Reliability of a Test, and an Exact Test for Hierarchically Related Items

Rand R. Wilcox

Department of Psychology, University of Southern California

Consider an n-item multiple-choice test where it is decided that an examinee knows the answer if and only if he/she gives the correct response. The k out of n reliability of the test, Qk, is defined to be the probability that, for a randomly sampled examinee, at least k correct decisions are made about whether the examinee knows the answer to an item. The paper describes and illustrates how an extension of a recently proposed latent structure model can be used in conjunction with results in Sathe, Pradhan, and Shah (1980) to estimate upper and lower bounds on Qk. A method of empirically checking the model is discussed.

Applied Psychological Measurement, Vol. 6, No. 3, 327-336 (1982)
DOI: 10.1177/014662168200600309


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