Bounds on the k out of n reliability of a test, and an exact test for hierarchically related items

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Bounds on the k out of n reliability of a test, and an exact test for hierarchically related items

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1982

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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.

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Wilcox, Rand R. (1982). Bounds on the k out of n reliability of a test, and an exact test for hierarchically related items. Applied Psychological Measurement, 6, 327-336. doi:10.1177/014662168200600309

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Wilcox, Rand R.. (1982). Bounds on the k out of n reliability of a test, and an exact test for hierarchically related items. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/101476.

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