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Tests of the ratio rule in categorization

By A.J. Wills, Stian Reimers, Neil Stewart, Mark Suret and I.P.L McLaren

Abstract

Many theories of learning and memory (e.g. connectionist, associative, rational, exemplar-based) produce psychological magnitude terms as output (i.e. numbers\ud representing the momentary level of some subjective property). Many theories assume that these numbers may be translated into choice probabilities via the Ratio Rule, a.k.a. the Choice Axiom (Luce, 1959) or the Constant-Ratio Rule (Clarke, 1957). We present two categorization experiments employing artificial, visual, prototype-structured stimuli constructed from twelve symbols positioned on a grid. The Ratio Rule is shown to be\ud incorrect for these experiments, given the assumption that the magnitude terms for each category are univariate functions of the number of category-appropriate symbols\ud contained in the presented stimulus. A connectionist winner-take-all model of categorical decision (Wills & McLaren, 1997) is shown to account for our data given the same\ud assumption. The central feature underlying the success of this model is the assumption that categorical decisions are based on a Thurstonian choice process (Thurstone, 1927,\ud Case V) whose noise distribution is not double exponential in form

Topics: BF
Publisher: Psychology Press
Year: 2000
OAI identifier: oai:wrap.warwick.ac.uk:600

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  1. (1991). A connectionist model of choice and reaction time in absolute identification. doi
  2. (1989). A distributed developmental model of word recognition and naming. doi
  3. (1927). A law of comparative judgement. doi
  4. (1997). A limited capacity, wave equality, random walk model of absolute identification. In
  5. (1987). A model of stimulus generalization for Pavlovian conditioning. doi
  6. (1965). A paired comparison of pair comparisons. doi
  7. (1991). A rational analysis of categorization. doi
  8. (1978). A theory of memory retrieval. doi
  9. (1972). A theory of Pavlovian conditioning: Variations in the effectiveness of reinforcement and nonreinforcement.
  10. (1976). Adpative pattern classification and universal recoding: Part I. Parallel development and coding of neural feature detectors. doi
  11. (1992). ALCOVE: An exemplar-based connectionist model of category learning. doi
  12. (1966). An Empirical Evaluation and Comparison of Two Models for Discriminability Scales. doi
  13. (1997). An exemplar-based random walk model of speeded classification. doi
  14. (1981). An interactive activation model of context effects in letter perception: Part I. An account of basic findings. doi
  15. (1986). Attention, similarity and the identification-categorisation relationship. doi
  16. (1998). Categorization: From features to decisions. Unpublished Ph.D.,
  17. (1994). Classification and Cognition. doi
  18. (1960). Consonant confusions and the Constant Ratio Rule. doi
  19. (1957). Constant-ratio rule for confusion matricies in speech communication. doi
  20. (1978). Context theory of classification learning. doi
  21. (1998). Dissociations between categorization and recognition in amnesiacs and normals: An exemplar-based interpretation. doi
  22. (1985). Distributed memory and the representation of general and specific information. doi
  23. (1972). Elimination by aspects: A theory of choice. doi
  24. (1988). From conditioning to category learning: An adaptive network model. doi
  25. (1997). Generalization in human category learning: A connectionist explanation of differences in gradient after discriminative and non-RATIO RULE - 38 discriminative training. doi
  26. (1954). Incomplete block rank analysis: On the appropriateness of the model for a method of paired comparison. doi
  27. (1954). Incomplete block rank analysis: Some taste test results. doi
  28. (1959). Individual Choice Behavior. doi
  29. (1981). Limitations of exemplar-based generalization and the abstraction of categorical information. doi
  30. (1959). On methods in the analysis of profile data. doi
  31. (1968). On the genesis of abstract ideas. doi
  32. (1995). On the time course of perceptual choice: A model based on principles of neural computation.
  33. (1979). On the time-relations of mental processes: an examination of systems of processes in cascade. doi
  34. (1996). Peak shift in pigeon and human categorization.
  35. (1998). Perceptual categorization: Connectionist modelling and decision rules.
  36. (1961). Psychology of judgement and choice.
  37. (1920). Quantitative aspects of the evolution of concepts. doi
  38. (1981). SOP: A model of automatic memory processing in animal behavior. In
  39. (1957). Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space. doi
  40. (1990). The problem of serial order: A neural network model of sequence learning and recall. In
  41. (1977). The relationship between Luce's choice axiom, Thurstone's theory of comparative judgment, and the double exponential distribution. doi
  42. (1988). Towards an instance theory of automatization. doi
  43. (1986). Varieties of perceptual independence. doi

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