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1 results

  • The Rasch Model, the Law of Comparative Judgment and Additive Conjoint Measurement

  • H. E. Brogden
  • Journal:
    Psychometrika / Volume 42 / Issue 4 / December 1977
    Published online by Cambridge University Press:
    01 January 2025, pp. 631-634

  • Relationships between the Rasch model and both the law of comparative judgment and additive conjoint measurement are discussed. The distance between the ability of Person a and the difficult of Item i is, in the Rasch model, the baseline value corresponding to the probability that a will respond correctly to i, where this probability is interpreted as the area under a logistic curve (which is substantially equivalent to the normal curve) and is thus an application of the law of comparative judgment. Under certain assumptions, the Rasch model is also a special case of additive conjoint measurement and, properly reinterpreted, may be usefully applied in contexts other than individual differences.