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ERIC Number: ED189120
Record Type: RIE
Publication Date: 1979-Dec
Reference Count: 0
An Empirical Bayes Approach to Decisions Based on Multivariate Test Data. Publication Series in Mastery Testing, Research Memorandum 79-7.
A general framework for making mastery/nonmastery decisions based on multivariate test data is described in this study. Over all, mastery is granted (or denied) if the posterior expected loss associated with such action is smaller than the one incurred by the denial (or grant) of mastery. An explicit form for the cutting contour which separates mastery and nonmastery states in the test score space is given for multivariate test scores which follow a normal distribution with a constant loss ratio. For the case involving multiple cutting scores in the true ability space, the test score cutting contour will resemble the boundary defined by multiple test cutting scores when the test reliabilities are reasonably close to unity. For tests with low reliabilities, decisions may very well be based simply on a suitably chosen composite score. (Author)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: National Inst. of Education (DHEW), Washington, DC.
Authoring Institution: South Carolina Univ., Columbia. School of Education.