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2 results

  • Two simple Classes of Mastery Scores based on the Beta-Binomial Model

  • Huynh Huynh
  • Journal:
    Psychometrika / Volume 42 / Issue 4 / December 1977
    Published online by Cambridge University Press:
    01 January 2025, pp. 601-608

  • Two simple classes of mastery scores which are suitable for hand calculations are presented for beta-binomial test score distributions combined with linear and cubic referral success. The models provide a simple way to explore the consequences of selecting an arbitrary mastery score. Such assessment would be useful whenever the test user is not willing to post a priori a loss ratio, but wishes to look at the various consequences before aiming at a particular score.

  • A Nonrandomized Minimax Solution for Passing Scores in the Binomial Error Model

  • Huynh Huynh
  • Journal:
    Psychometrika / Volume 45 / Issue 2 / June 1980
    Published online by Cambridge University Press:
    01 January 2025, pp. 167-182

  • A nonrandomized minimax solution is presented for passing scores in the binomial error model. The computation does not require prior knowledge regarding an individual examinee or group test data for a population of examinees. The optimum passing score minimizes the maximum risk which would be incurred by misclassifications. A closed-form solution is provided for the case of constant losses, and tables are presented for a variety of situations including linear and quadratic losses. A scheme which allows for correction for guessing is also described.