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2 results

  • Binary Programming and Test Design

  • T. J. J. M. Theunissen
  • Journal:
    Psychometrika / Volume 50 / Issue 4 / December 1985
    Published online by Cambridge University Press:
    01 January 2025, pp. 411-420

  • An algorithmic approach to test design, using information functions, is presented. The approach uses a special branch of linear programming, i.e. binary programming. In addition, results of some benchmark problems are presented. Within the same framework, it is also possible to formulate the problem of individualized testing.

  • Estimating the Imputed Social Cost of Errors of Measurement

  • Frederic M. Lord
  • Journal:
    Psychometrika / Volume 50 / Issue 1 / March 1985
    Published online by Cambridge University Press:
    01 January 2025, pp. 57-68

  • If a loss function is available specifying the social cost of an error of measurement in the score on a unidimensional test, an asymptotic method, based on item response theory, is developed for optimal test design for a specified target population of examinees. Since in the real world such loss functions are not available, it is more useful to reverse this process; thus a method is developed for finding the loss function for which a given test is an optimally designed test for the target population. An illustrative application is presented for one operational test.