Skip to main content
Log in

A probabilistic multidimensional model of location information

  • Published:
Psychological Research Aims and scope Submit manuscript

Summary

A probabilistic multidimensional model of location discrimination is developed and applied to data from an experiment in which subjects are required to determine whether a briefly presented horizontal and vertical bar are touching. The proposed gap-detection model assumes that errors in perception are due to variability in the perceived location and/or in the perceived length of the bars. A series of gap-detection models that allow variability only in perceived location were rejected on the basis of likelihood-ratio tests of overall goodness of fit. However, when the models were modified to account for: (a) a compression of the distance perceived between the bars (Wolford, 1975), or (b) the bisection illusion (Künnapas, 1955), excellent absolute fits to the data were obtained. A pair of models that suggests that the horizontal/vertical illusion or a response bias was operative failed. Applications of the model to more conventional object-perception experiments (e. g., the illusory-conjunction experiment) are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716–723.

    Google Scholar 

  • Ashby, F. G. (1988). Estimating the parameters of multidimensional signal detection theory from simultaneous ratings on separate stimulus components. Perception & Psychophysics, 44, 195–204.

    Google Scholar 

  • Ashby, F. G. (Ed.) (1992a). Multidimensional models of perception and cognition. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Ashby, F. G. (1992b). Multivariate probability distributions. In F. G. Ashby (Ed.), Multidimensional models of perception and cognition. Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Ashby, F. G., & Gott, R. (1988). Decision rules in the perception and categorization of multidimensional stimuli. Journal of Experimental Psychology: Learning, Memory, and Cognition, 14, 33–53

    Google Scholar 

  • Ashby, F. G., Ivry, R. B., Maddox, W. T., & Prinzmetal, W. (1990). Modelling illusory conjunctions: Distance and feature similarity constraints. Paper presented at the 31st Annual Meeting of the Psychonomics Society, November, 1990, New Orleans.

  • Ashby, F. G., & Lee, W. W. (1991). Predicting similarity and categorization from identification. Journal of Experimental Psychology: General, 120, 150–172.

    Google Scholar 

  • Ashby, F. G., & Perrin, N. A. (1988). Toward a unified theory of similarity and recognition. Psychological Review, 95, 124–150.

    Google Scholar 

  • Ashby, F. G., & Townsend, J. T. (1986). Varieties of perceptual independence. Psychological Review, 93, 154–179.

    Google Scholar 

  • Butler, B. E., Mewhort, D. J. K., & Browse, R. A. (1991). When do letter features migrate? A boundary condition for feature-integration theory. Perception & Psychophysics, 49, 91–99.

    Google Scholar 

  • Chastain, G. (1986). Evidence for feature perturbations from character misidentifications. Perception & Psychophysics, 39, 301–306.

    Google Scholar 

  • Cohen, A., & Ivry, R. B. (1989). Illusory conjunctions as a function of distance between objects inside and outside the focus of attention. Journal of Experimental Psychology: Human Perception and Performance, 16, 317–331.

    Google Scholar 

  • Cohen, A., & Rafal, R. D. (1991). Attention and feature integration: Illusory conjunctions in a patient with a parietal lobe lesion. Psychological Science, 2, 106–110.

    Google Scholar 

  • Coren, S. & Girgus, J. (1980). Principles of perceptual organization and spatial distortions: The Gestalt illusions. Journal of Experimental Psychology: Human Perception and Performance, 6, 404–412.

    Google Scholar 

  • Curcio, C. A., Sloan, K. R., Packer, O., Hendrickson, A. E., & Kalina, R. E. (1987). Distribution of cones in human and monkey retina: Individual variability and radial asymmetry. Science, 236, 579–581.

    Google Scholar 

  • Gallant, J. L., & Garner, W. R. (1988). Some effects of distance and structure on conjunction errors. Bulletin of the Psychonomic Society, 26, 323–326.

    Google Scholar 

  • Garner, W. R., & Morton, J. (1969). Perceptual independence: Definitions, models and experimental paradigms. Psychological Bulletin, 72, 233–259.

    Google Scholar 

  • Graham, N., Kramer, P., & Yager, D. (1987). Signal detection models for multidimensional stimuli: Probability distributions and combination rules. Journal of Mathematical Psychology, 31, 192–206.

    Google Scholar 

  • Green, D. M., & Swets, J. A. (1967). Signal detection theory and psychophysics. New York: Wiley.

    Google Scholar 

  • Gregory, R. L. (1977). Vision with isoluminant colour contrast: 1. A projection technique and observations. Perception, 6, 113–119.

    Google Scholar 

  • Ivry, R. B., & Prinzmetal, W. (1991). Effect of feature similarity on illusory conjunctions. Perception & Psychophysics, 39, 105–116.

    Google Scholar 

  • Johnston, J. C., & Pashler, H. (1990). Close binding of identity and locations in visual feature perception. Journal of Experimental Psychology: Human Perception and Performance, 16, 843–856.

    Google Scholar 

  • Jordan, J. R., Geisler, W. S., & Bovic, A. C. (1990). Color as a source of information in the stereo correspondence process. Vision Research, 30, 1955–1970.

    Google Scholar 

  • Klein, S. A. (1985). Double judgment psychophysics: Problems and solutions. Journal of the Optical Society of America Part A, 2, 156–1585.

    Google Scholar 

  • Klein, S. A., & Levi, D. M. (1987). Position sense of the peripheral retina. Journal of the Optical Society of America Part A, 4, 1544–1553.

    Google Scholar 

  • Künnapas, T. M. (1955). Influence of frame size on apparent length of a line. Journal of Experimental Psychology, 50, 168–170.

    Google Scholar 

  • Lasage, M. I., & Hecht, H. (1991). Integration of local features as a function of global goodness. Perception & Psychophysics, 49, 201–211.

    Google Scholar 

  • Levi, D. M., & Klein, S. A. (1989). Both separation and eccentricity can limit precise position judgements: A reply to Morgan and Watt. Vision Research, 29, 1463–1469.

    Google Scholar 

  • Livingstone, M. S., & Hubel, D. H. (1987). Psychophysical evidence for separate channels for the perception of form, color, movement, and depth. Journal of Neuroscience, 7, 3416–3468.

    Google Scholar 

  • Lu, C., & Fender, D. H. (1972). The interaction of color and luminance in stereoscopic vision. Investigations in Ophthalmology, 11, 482–490.

    Google Scholar 

  • Morgan, M. J., & Aiba, T. S. (1985). Positional acuity with chromatic stimuli. Vision Research, 25, 689–695.

    Google Scholar 

  • Nosofsky, R. M. (1986). Attention, similarity, and the identification-categorization relationship. Journal of Experimental Psychology: General, 115, 39–57.

    Google Scholar 

  • Prinzmetal, W. (1981). Principles of feature integration in visual perception. Perception & Psychophysics, 30, 330–340.

    Google Scholar 

  • Prinzmetal, W., & Keysar, B. (1989). A functional theory of illusory conjunctions and neon colors. Journal of Experimental Psychology: General, 118, 165–190.

    Google Scholar 

  • Prinzmetal, W., Presti, D. E., & Posner, M. I. (1986). Does attention affect visual feature integration? Journal of Experimental Psychology: Human Perception and Performance, 12, 361–369.

    Google Scholar 

  • Rijsdijk, J. P., Kroon, J. N., van der Wildt, G. J. (1980). Contrast sensitivity as a function of position on retina. Vision Research, 20, 235–241.

    Google Scholar 

  • Sagi, D., & Julesz, B. (1985). “Where” and “what” in vision. Science, 228, 1217–1219.

    Google Scholar 

  • Sakamoto, Y., Ishiguro, M., & Kitagawa, G. (1986). Akaike information criterion statistics. Dordrecht: Reidel.

    Google Scholar 

  • Tanner, W. P. (1956). Theory of recognition. Journal of the Acoustical Society of America, 28, 882–888.

    Google Scholar 

  • Treisman, A., & Paterson, R. (1984). Emergent features, attention, and object perception. Journal of Experimental Psychology: Human Perception and Performance, 10, 12–31.

    Google Scholar 

  • Treisman, A., & Schmidt, H. (1982). Illusory conjunctions in the perception of objects. Cognitive Psychology, 14, 107–141.

    Google Scholar 

  • Troscianko, T. (1987). Perception of random-dot symmetry and apparent movement at and near isoluminance. Vision Research, 27, 547–554.

    Google Scholar 

  • Ungerleider, L. G., & Mishkin, M. (1982). Two cortical visual systems. In D. J. Ingle, M. A. Goodale, & R. J. W. Mansfield (Eds.), Analysis of visual behavior. Cambridge, MA: MIT Press.

    Google Scholar 

  • Wickens, T. D. (1982). Models for behavior: Stochastic processes in psychology. San Francisco: Freeman.

    Google Scholar 

  • Wickens, T. D. (1992). Maximum-likelihood estimation of a multivariate Gaussian rating model with excluded data. Journal of Mathematical Psychology, 36, 213–234.

    Google Scholar 

  • Wickens, T. D., & Olzak, L. A. (1989). The statistical analysis of concurrent detection ratings. Perception & Psychophysics, 45, 514–528.

    Google Scholar 

  • Wolford, G. (1975). Perturbation model for letter identification. Psychological Review, 82, 184–199.

    Google Scholar 

  • Wolford, G., & Shum, K. H. (1980). Evidence for feature perturbations. Perception & Psychophysics, 27, 409–420.

    Google Scholar 

  • Yap, Y. L., Levi, D. L., & Klein, S. A. (1987). Peripheral hyperacuity: Isocentric bisection is better than radial bisection. Journal of the Optical Society of America, 4, 1562–1567.

    Google Scholar 

  • Yund, E. W., Efron, R., & Nichols, D. R. (1990). Detectability gradients as a function of target location. Brain and Cognition, 12, 1–16.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maddox, W.T., Prinzmetal, W., Ivry, R.B. et al. A probabilistic multidimensional model of location information. Psychol. Res 56, 66–77 (1994). https://doi.org/10.1007/BF00419713

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00419713

Keywords

Navigation