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The ASA Spring Methodology Conference Organized in Europe by the Department of Methodology and Statistics at Tilburg University, the Netherlands. SESSION : Reliability, Stability and Discrimination PRESENTERS: Peter M. Kruyen p.m.kruyen@uvt.nl Tilburg School of Social and Behavioral Sciences Jarl Kampen jarl.kampen@wur.nl Wageningen University and Research Centre Marcel Noack University of Duisburg-Essen marcel.noack@uni-due.de
Author and presenter Kampen, Jarl; Wageningen University and Research Centre Title Ferguson's and Hankin's delta revisited: Towards a renewed interest in the discriminating power of tests Abstract Discriminating power is a characteristic of health indices, tests and questionnaires that is crucial for use of test scores in practice. Recently, renewed attention has been paid to Ferguson's Coefficient of Test Discrimination (delta) for test scores based on dichotomous items, and an extension thereof that quantifies discrimination for test scores based on polytomous ordinal items. In this article, four potential problems relating to Ferguson's delta and Hankins' recent generalization are discussed. Alternative methods of analysis that test for certain aspects of discriminative power are proposed. The properties of Ferguson's delta and its generalization are illustrated by mathematical argument, numerical examples, and the analysis of a real data set consisting of ordinal scaled items (WHOQOL-BREF Domain 2). It is shown that 1) Ferguson's delta in practical applications its maximal value cannot be attained which obfuscates interpretation, 2) its statistical significance cannot be computed reliably, 3) it is insensitive to the fineness of test scores and 4) it is insensitive to variation in discriminating power over the range of possible test scores. It is concluded that the renewed attention for discriminative power can help improve measurement in health. However, Ferguson's delta is not the most effective coefficient for this purpose. The proposed alternative methods are promising but require further assessment.
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KEY NOTE SPEAKER Snijders, Tom A.B.
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Presenter Hagenaars, Jacques A.P.;
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Presenter Croon, Marcel; Tilburg Sc
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Author and presenter Kuijpers, Rens
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Author and presenter Forcina, Anton
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Page 63 and 64: efore retirement. We identify four
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