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Does response scaling cause the generalized context model to mimic a prototype model?

Jay I Myung1, Mark A Pitt, Daniel J Navarro

  • 1Department of Psychology, Ohio State University, Columbus 43210, USA. myung.1@osu.edu

Psychonomic Bulletin & Review
|January 31, 2008
PubMed
Summary
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The generalized context model (GCM) complexity is evaluated, finding the response scaling parameter does not necessarily lead to mimicry of prototype models. Statistical methods enhance model discrimination.

Area of Science:

  • Cognitive Science
  • Computational Psychology
  • Mathematical Psychology

Background:

  • The Generalized Context Model (GCM) is an exemplar-based theory of categorization.
  • A criticism suggests the GCM's response scaling parameter (y) increases complexity and allows mimicry of prototype models.
  • The debate centers on whether the GCM's flexibility is a feature or a flaw.

Purpose of the Study:

  • To evaluate the criticism regarding the GCM's response scaling parameter (y).
  • To assess the complexity of the GCM with and without the y parameter.
  • To compare the GCM's mimicry of prototype models across different experimental designs.

Main Methods:

  • Complexity estimation of GCM (with and without y) and a prototype model.
  • Model mimicry assessment using two distinct experimental designs (Nosofsky & Zaki, 2002; Smith & Minda, 1998).

Related Experiment Videos

  • Application of statistical model selection methods, such as minimum description length (MDL).
  • Main Results:

    • The parameter y can increase GCM complexity.
    • Increased GCM complexity does not inherently lead to mimicry of prototype models.
    • Statistical model selection methods effectively discriminate between GCM and prototype models, regardless of experimental design.

    Conclusions:

    • The criticism that the GCM's response scaling parameter (y) leads to unnecessary complexity and mimicry is not fully supported.
    • Model selection criteria are crucial for distinguishing between exemplar and prototype models.
    • The GCM remains a distinct and viable model of categorization, even with the inclusion of the y parameter.