Applied Optimal Designs by Martijn P.F. Berger, Weng-Kee Wong

By Martijn P.F. Berger, Weng-Kee Wong

There's an expanding have to rein within the price of clinical learn with out sacrificing accuracy in statistical inference. optimum layout is the sensible allocation of assets to accomplish the pursuits of stories utilizing minimum price through cautious statistical making plans. Researchers and practitioners in quite a few fields of utilized technological know-how at the moment are starting to realize the benefits and power of optimum experimental layout. Applied optimum Designs is the 1st publication to catalogue the appliance of optimum layout to actual difficulties, documenting its frequent use throughout disciplines as assorted as drug improvement, schooling and flooring water modelling.

Includes contributions covering:

  • Bayesian layout for measuring cerebral blood-flow
  • Optimal designs for organic models
  • Computer adaptive testing
  • Ground water modelling
  • Epidemiological reports and pharmacological models

Applied optimum Designs bridges the space among idea and perform, drawing jointly a range of incisive articles from reputed collaborators. vast in scope and inter-disciplinary in allure, this publication highlights the range of possibilities to be had by utilizing optimum layout. the wide variety of purposes offered right here should still attract statisticians operating with optimum designs, and to practitioners new to the speculation and ideas involved.

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1 OPTIMAL DESIGN IN EDUCATIONAL TESTING Fixed-form test design Fixed-form test design problems can be classified as unconstrained or constrained. Unconstrained problems consider optimal designs in the purely psychometric IRT setting, where there are no external constraints as to the items selected. Constrained problems incorporate these constraints, which may force a balance among items of a certain type, limit the total word length of items, or restrict the use of too similar items. Solutions to constrained problems have cast the problem as a 0–1 linear programming problem, as a problem in network flow programming, or used less formal heuristic approaches.

4 Simulation Results We present some results using actual data from paper-and-pencil administration of the LSAT. The data consist of the responses to 23 items from 28 184 test-takers. We use these data to simulate an on-line item calibration. In the simulation, the optimal and spiralling design chose 32 000 from the 28 184 test-takers to receive testlets. Note that this is not a usual simulation situation where responses are generated under a known model. Batches of 40 test-takers are randomly chosen.

And Lewis, C. (2000). Methods of controlling the exposure of items in CAT. In van der Linden, W. J. and Glas, C. A. W. (eds), Computerized Adaptive Testing: Theory and Practice. Kluwer Academic Publishers. Stocking, M. L. and Swanson, L. (1993). A method for severely constrained item selection in adaptive testing. Applied Psychological Measurement, 17, 277–292. Swanson, L. and Stocking, M. L. (1993). A model and heuristic for solving very large item selection problems. Applied Psychological Measurement, 17, 151–166.

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