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Optimal Cutting Scores Using A Linear Loss Function

Gideon J. Mellenbergh, Psychologisch Laboratorium, Universiteit van Amsterdan, Weesperplein 8, Amsterdam, The Netherlands

Gideon J. Mellenbergh

University of Amsterdam, Amsterdam, The Netherlands

The situation is considered in which a total score on a test is used for classifying examinees into two categories: "accepted (with scores above a cutting score on the test) and "not accepted" (with scores below the cutting score). A value on the latent variable is fixed in advance; examinees above this value are "suitable" and those below are "not suit able." Using a linear loss function, a procedure is described for computing a cutting score that mini mizes the risk for the decision rule. The procedure is demonstrated with a criterion-referenced achieve ment test of elementary statistics administered to 167 students.

Applied Psychological Measurement, Vol. 1, No. 4, 593-599 (1977)
DOI: 10.1177/014662167700100414


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