Browsing by Author "Reckase, Mark D."
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Item The difficulty of test items that measure more than one ability(1985) Reckase, Mark D.Many test items require more than one ability to obtain a correct response. This article proposes a multidimensional index of item difficulty that can be used with items of this type. The proposed index describes multidimensional item difficulty as the direction in the multidimensional space in which the item provides the most information and the distance in that direction to the most informative point. The multidimensional difficulty is derived for a particular item response theory model and an example of its application is given using the ACT Mathematics Usage Test.Item The discriminating power of items that measure more than one dimension(1991) Reckase, Mark D.; McKinley, Robert L.Determining a correct response to many test items frequently requires more than one ability. This paper describes the characteristics of items of this type by proposing generalizations of the item response theory concepts of discrimination and information. The conceptual framework for these statistics is presented, and the formulas for the statistics are derived for the multidimensional extension of the two-parameter logistic model. Use of the statistics is demonstrated for a form of the ACT Mathematics Usage Test. Index terms: item discrimination, item information, item response theory, multidimensional item response theory.