This proposal attempts to follow in Allan Birnbaum's tradition by using Bayesian ideas to show that his mental test model possesses even broader applicability than previously realized. Birnbaum's two significant contributions to the theories of statistics and educational testing are: (1) the proof that the sufficiency and conditionality principles…

A general approach is proposed for modeling the structure of a two-way contingency table, and for drawing inferences about the marginal and interaction effects, cell parameters, and conditional probabilities. The prior distribution expresses uncertainty in a simple reduced model, in particular the independence model. The posterior estimates of the…

Comments are made on the review papers presented by six Dutch psychometricians: Ivo Molenaar, Wim van der Linden, Ed Roskam, Arnold Van den Wollenberg, Gideon Mellenbergh, and Dato de Gruijter. Molenaar has embraced a pragmatic viewpoint on Bayesian methods, using both empirical and pure approaches to solve educational research problems. Molenaar…

Nedelsky (1954) has suggested a procedure for determining the minimum passing score on a multiple-choice test. In this procedure expert judges estimate the probable score of a minimally competent examinee. The technique does not refer to the students' performance data. The purposes of this paper are: (1) to introduce a modification to the Nedelsky…

During 1975-1979 this research into the potential of computerized adaptive testing to reduce errors in the measurement of human capabilities used Marine recruits for a live-testing validity comparison of computerized adaptive and conventional tests. The program purposes were to: (1) identify the most useful computer-based adaptive testing…

This paper reviews recent research in the Netherlands on the application of decision theory to test-based decision making about personnel selection and student placement. The review is based on an earlier model proposed for the classification of decision problems, and emphasizes an empirical Bayesian framework. Classification decisions with…