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Please use this identifier to cite or link to this item: http://hdl.handle.net/11299/100424

Title: Estimating the parameters of Emrick's mastery testing mode
Authors: Van der Linden, Wim J.
Issue Date: 1981
Citation: Van der Linden, Wim J. (1981). Estimating the parameters of Emrick's mastery testing model. Applied Psychological Measurement, 5, 517-530. doi:10.1177/014662168100500410
Abstract: Emrick’s model is a latent class or state model for mastery testing that entails a simple rule for separating masters from nonmasters with respect to a homogeneous domain of items. His method for estimating the model parameters has only restricted applicability inasmuch as it assumes a mixing parameter equal to .50 and an a priori known ratio of the two latent success probabilities. The maximum likelihood method is also available but yields an intractable system of estimation equations which can only be solved iteratively. The emphasis in this paper is on estimates to be computed by hand but nonetheless accurate enough for most practical situations. It is shown how the method of moments can be used to obtain such "quick and easy" estimates. In addition, an endpoint method is discussed that assumes that the parameters can be estimated from the tails of the sample distribution. A monte carlo experiment demonstrated that for a great variety of parameter values, test lengths, and sample sizes, the method of moments yields excellent results and is uniformly much better than the endpoint method.
URI: http://purl.umn.edu/100424
Appears in Collections:Volume 05, 1981

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