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1 results

  • A Conjunctive Parallelogram Model for Pick any/n Data

  • Iwin Leenen, Iven Van Mechelen
  • Journal:
    Psychometrika / Volume 69 / Issue 3 / September 2004
    Published online by Cambridge University Press:
    01 January 2025, pp. 401-420

  • This paper proposes a multidimensional generalization of Coombs' (1964) parallelogram model for “pick any/n” data, which result from each of a number of subjects having selected a number of objects (s)he likes most from a prespecified set of n objects. In the model, persons and objects are represented in a low dimensional space defined by a set of ordinal variables with a prespecified number of categories; objects are represented as points and persons as intervals on each dimension. A conjunctive combination rule is assumed implying that a person selects an object if and only if the object is within the subject's interval on each dimension. An algorithm for fitting the model to a data set is presented and evaluated in a simulation study. The model is illustrated with data on preferences regarding holiday trips.