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Peer reviewedWilson, Mark – Applied Psychological Measurement, 1992
The ordered partition model is described as an extension of the partial credit model, its relationship to other models is discussed, and two examples are presented. The model is designed for a measurement context in which categories of response to an item cannot be completely ordered. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Measurement Techniques
Peer reviewedArmstrong, Ronald D.; Jones, Douglas H. – Applied Psychological Measurement, 1992
Polynomial algorithms are presented that are used to solve selected problems in test theory, and computational results from sample problems with several hundred decision variables are provided that demonstrate the benefits of these algorithms. The algorithms are based on optimization theory in networks (graphs). (SLD)
Descriptors: Algorithms, Decision Making, Equations (Mathematics), Mathematical Models
Peer reviewedSwanson, Len; Stocking, Martha L. – Applied Psychological Measurement, 1993
A model for solving very large item selection problems is presented. The model builds on binary programming applied to test construction. A heuristic for selecting items that satisfy the constraints in the model is also presented, and various problems are solved using the model and heuristic. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Heuristics, Item Response Theory
