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1 results

  • Departure from Normal Assumptions: A Promise for Future Psychometrics with Substantive Mathematical Modeling

  • Fumiko Samejima
  • Journal:
    Psychometrika / Volume 62 / Issue 4 / December 1997
    Published online by Cambridge University Press:
    01 January 2025, pp. 471-493

  • Normal assumptions have been used in many psychometric methods, to the extent that most researchers do not even question their adequacy. With the rapid advancement of computer technologies in recent years, psychometrics has extended its territory to include intensive cognitive diagnosis, etcetera, and substantive mathematical modeling has become essential. As a natural consequence, it is time to consider departure from normal assumptions seriously. As examples of models which are not based on normality or its approximation, the logistic positive exponent family of models is discussed. These models include the item task complexity as the third parameter, which determines the single principle of ordering individuals on the ability scale.