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1 results

  • 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.