Predicting similarity and categorization from identification.

In this article, the relation between the identification, similarity judgment, and categorization of multidimensional perceptual stimuli is studied. The theoretical analysis focused on general recognition theory (GRT), which is a multidimensional generalization of signal detection theory. In one application, 2 Ss first identified a set of confusable stimuli and then made judgments of their pairwise similarity. The second application was to Nosofsky's (1985b, 1986) identification-categorization experiment. In both applications, a GRT model accounted for the identification data better than Luce's (1963) biased-choice model. The identification results were then used to predict performance in the similarity judgment and categorization conditions. The GRT identification model accurately predicted the similarity judgments under the assumption that Ss allocated attention to the 2 stimulus dimensions differently in the 2 tasks. The categorization data were predicted successfully without appealing to the notion of selective attention. Instead, a simpler GRT model that emphasized the different decision rules used in identification and categorization was adequate.

[1]  F ATTNEAVE,et al.  Dimensions of similarity. , 1950, The American journal of psychology.

[2]  Wilson P. Tanner,et al.  Theory of recognition. , 1956 .

[3]  R. Shepard Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space , 1957 .

[4]  R. Shepard Stimulus and response generalization: tests of a model relating generalization to distance in psychological space. , 1958, Journal of experimental psychology.

[5]  R. Shepard Stimulus and response generalization: deduction of the generalization gradient from a trace model. , 1958, Psychological review.

[6]  Joseph L. Zinnes,et al.  Theory and Methods of Scaling. , 1958 .

[7]  R. Shepard,et al.  Learning and memorization of classifications. , 1961 .

[8]  R. Shepard,et al.  Stimulus generalization in the learning of classifications. , 1963, Journal of experimental psychology.

[9]  Eugene Galanter,et al.  Handbook of mathematical psychology: I. , 1963 .

[10]  R N SHEPARD,et al.  Analysis of Proximities as a Technique for the Study of Information Processing in Man1 , 1963, Human factors.

[11]  R. Shepard Attention and the metric structure of the stimulus space. , 1964 .

[12]  J. Kruskal Nonmetric multidimensional scaling: A numerical method , 1964 .

[13]  J. Kruskal Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis , 1964 .

[14]  D. M. Green,et al.  Signal detection theory and psychophysics , 1966 .

[15]  R. Hyman,et al.  Judgments of similarity and spatial models , 1967 .

[16]  Ray Hyman,et al.  Perceptual separability and spatial models , 1968 .

[17]  C. Horan Multidimensional scaling: Combining observations when individuals have different perceptual structures , 1969 .

[18]  J. Chang,et al.  Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .

[19]  R. Shepard,et al.  Second-order isomorphism of internal representations: Shapes of states ☆ , 1970 .

[20]  W. R. Garner,et al.  Integrality of stimulus dimensions in various types of information processing , 1970 .

[21]  J. Townsend Theoretical analysis of an alphabetic confusion matrix , 1971 .

[22]  Lawrence E. Jones,et al.  Structure of a social environment: Longitudinal individual differences scaling of an intact group. , 1972 .

[23]  L. Tucker Relations between multidimensional scaling and three-mode factor analysis , 1972 .

[24]  S. Imai,et al.  The free classification of analyzable and unanalyzable stimuli , 1972 .

[25]  W. R. Garner The Processing of Information and Structure , 1974 .

[26]  A. Tversky,et al.  Similarity of rectangles: An analysis of subjective dimensions , 1975 .

[27]  A. Tversky Features of Similarity , 1977 .

[28]  Douglas L. Medin,et al.  Context theory of classification learning. , 1978 .

[29]  Willa Kay Wiener-Ehrlich,et al.  The Relation Between Stimulus Analyzability and Perceived Dimensional Structure1 , 1978 .

[30]  The Observer's Use of Perceptual Dimensions in Signal Identification. , 1979 .

[31]  T. Nygren A theoretical framework for testing the additive difference model for dissimilarities data: Representing gambles as multidimensional stimuli , 1979 .

[32]  D. M. Green,et al.  On the prediction of confusion matrices from similarity judgments , 1979 .

[33]  J T Townsend,et al.  Perceptual sampling of orthogonal straight line features , 1981, Psychological research.

[34]  J E Smith,et al.  Recognition models evaluated: A commentary on Keren and Baggen , 1982, Perception & psychophysics.

[35]  J T Townsend,et al.  Experimental test of contemporary mathematical models of visual letter recognition. , 1982, Journal of experimental psychology. Human perception and performance.

[36]  Jaap Van Brakel,et al.  Foundations of measurement , 1983 .

[37]  R. Nosofsky American Psychological Association, Inc. Choice, Similarity, and the Context Theory of Classification , 2022 .

[38]  R. Nosofsky Overall similarity and the identification of separable-dimension stimuli: A choice model analysis , 1985, Perception & psychophysics.

[39]  R M Nosofsky,et al.  Luce’s choice model and Thurstone’s categorical judgment model compared: Kornbrot’s data revisited , 1985, Perception & psychophysics.

[40]  N. Perrin,et al.  Varieties of perceptual independence. , 1986, Psychological review.

[41]  R. Shepard Discrimination and generalization in identification and classification: Comment on Nosofsky. , 1986 .

[42]  R. Nosofsky Attention, similarity, and the identification-categorization relationship. , 1986, Journal of experimental psychology. General.

[43]  R. Nosofsky Attention, similarity, and the identification-categorization relationship. , 1986 .

[44]  R. Shepard,et al.  Toward a universal law of generalization for psychological science. , 1987, Science.

[45]  M. Deaton,et al.  Response Surfaces: Designs and Analyses , 1989 .

[46]  R. Nosofsky Attention and learning processes in the identification and categorization of integral stimuli. , 1987, Journal of experimental psychology. Learning, memory, and cognition.

[47]  Gregory Ashby,et al.  Decision rules in the perception and categorization of multidimensional stimuli. , 1988, Journal of experimental psychology. Learning, memory, and cognition.

[48]  D. Ennis Confusable and discriminable stimuli: Comment on Nosofsky (1986) and Shepard (1986). , 1988 .

[49]  F. Gregory Ashby,et al.  Toward a Unified Theory of Similarity and Recognition , 1988 .

[50]  Roger N. Shepard Time and distance in generalization and discrimination: Reply to Ennis (1988). , 1988 .

[51]  F G Ashby,et al.  Estimating the parameters of multidimensional signal detection theory from simultaneous ratings on separate stimulus components , 1988, Perception & psychophysics.

[52]  J. Leeuw,et al.  Multidimensional Data Analysis , 1989 .

[53]  R. John Response Surfaces: Designs and Analyses , 1989 .

[54]  Ashby Fg,et al.  Integrating information from separable psychological dimensions. , 1990 .

[55]  R. Nosofsky Relations between exemplar-similarity and likelihood models of classification , 1990 .

[56]  R. Nosofsky,et al.  Integrating information from separable psychological dimensions. , 1990, Journal of experimental psychology. Human perception and performance.

[57]  Douglas Vickers,et al.  Human Information Processing: Measures, Mechanisms, and Models , 1990 .

[58]  T. Wickens Maximum-likelihood estimation of a multivariate Gaussian rating model with excluded data , 1992 .

[59]  F. Gregory Ashby,et al.  Multivariate probability distributions. , 1992 .

[60]  Y. Takane,et al.  Structures in stimulus identification data. , 1992 .

[61]  Lynn A. Olzak,et al.  Three views of association in concurrent detection ratings. , 1992 .