Abstract
The diffusion model for two-choice real-time decisions is applied to four psychophysical tasks. The model reveals how stimulus information guides decisions and shows how the information is processed through time to yield sometimes correct and sometimes incorrect decisions. Rapid two-choice decisions yield multiple empirical measures: response times for correct and error responses, the probabilities of correct and error responses, and a variety of interactions between accuracy and response time that depend on instructions and task difficulty. The diffusion model can explain all these aspects of the data for the four experiments we present. The model correctly accounts for error response times, something previous models have failed to do. Variability within the decision process explains how errors are made, and variability across trials correctly predicts when errors are faster than correct responses and when they are slower.
References
|
Audley, R.J., Pike, A.R. (1965). Some alternative stochastic models of choice. The British Journal of Mathematical and Statistical Psychology, 18, 207–225. Google Scholar | Crossref | ISI | |
|
Busemeyer, J.R., Townsend, J.T. (1993). Decision field theory: A dynamic-cognitive approach to decision making in an uncertain environment. Psychological Review, 100, 432–459. Google Scholar | Crossref | Medline | ISI | |
|
Espinoza-Varas, B., Watson, C. (1994). Effects of decision criterion on latencies of binary decisions. Perception & Psychophysics, 55, 190–203. Google Scholar | Crossref | Medline | |
|
Estes, W.K. (1995). Response processes in cognitive models. In Lorch, R.F., O'Brien, E.J., (Eds.), Sources of coherence in text comprehension (pp. 51–71). Hillsdale, NJ: Erlbaum. Google Scholar | |
|
Feller, W. (1968). An introduction to probability theory and its applications. New York: John Wiley & Sons. Google Scholar | |
|
LaBerge, D.A. (1962). A recruitment theory of simple behavior. Psychometrika, 27, 375–396. Google Scholar | Crossref | ISI | |
|
Laming, D.R.J. (1968). Information theory of choice reaction time. New York: Wiley. Google Scholar | |
|
Link, S.W., Heath, R.A. (1975). A sequential theory of psychological discrimination. Psychometrika, 40, 77–105. Google Scholar | Crossref | ISI | |
|
Luce, R.D. (1986). Response times. New York: Oxford University Press. Google Scholar | |
|
Maddox, W.T., Ashby, F.G. (1993). Comparing decision bound and exemplar models of categorization. Perception & Psychophysics, 53, 49–70. Google Scholar | Crossref | Medline | |
|
Nosofsky, R.M., Palmeri, T.J. (1997). An exemplar based random walk model of speeded classification. Psychological Review, 104, 266–300. Google Scholar | Crossref | Medline | ISI | |
|
Ratcliff, R. (1978). A theory of memory retrieval. Psychological Review, 85, 59–108. Google Scholar | Crossref | ISI | |
|
Ratcliff, R. (1981). A theory of order relations in perceptual matching. Psychological Review, 88, 552–572. Google Scholar | Crossref | ISI | |
|
Ratcliff, R. (1985). Theoretical interpretations of speed and accuracy of positive and negative responses. Psychological Review, 92, 212–225. Google Scholar | Crossref | Medline | ISI | |
|
Ratcliff, R. (1988). Continuous versus discrete information processing: Modeling the accumulation of partial information. Psychological Review, 95, 238–255. Google Scholar | Crossref | Medline | ISI | |
|
Ratcliff, R., Murdock, B.B. (1976). Retrieval processes in recognition memory. Psychological Review, 83, 190–214. Google Scholar | Crossref | ISI | |
|
Ratcliff, R., Van Zandt, T., McKoon, G. (in press). Comparing connectionist and diffusion models of reaction time. Psychological Review. Google Scholar | |
|
Rouder, J.N. (1996). Premature sampling in random walks. Journal of Mathematical Psychology, 40, 289–296. Google Scholar | Crossref | ISI | |
|
Smith, P.L. (1995). Psychophysically principled models of visual simple reaction time. Psychological Review, 102, 567–591. Google Scholar | Crossref | ISI | |
|
Smith, P.L., Vickers, D. (1988). The accumulator model of two-choice discrimination. Journal of Mathematical Psychology, 32, 135–168. Google Scholar | Crossref | ISI | |
|
Stone, M. (1960). Models for choice reaction time. Psychometrika, 25, 251–260. Google Scholar | Crossref | ISI | |
|
Strayer, D.L., Kramer, A.F. (1994). Strategies and automaticity: I. Basic findings and conceptual framework. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 318–341. Google Scholar | Crossref | ISI | |
|
Swensson, R.G. (1972). The elusive tradeoff: Speed versus accuracy in visual discrimination tasks. Perception & Psychophysics, 12, 16–32. Google Scholar | Crossref | |
|
Van Zandt, T., Ratcliff, R. (1995). Statistical mimicking of reaction time distributions: Mixtures and parameter variability. Psychonomic Bulletin & Review, 2, 20–54. Google Scholar | Crossref | Medline | ISI | |
|
Vickers, D. (1979). Decision processes in visual perception. New York: Academic Press. Google Scholar | |
|
Vickers, D., Caudrey, D., Willson, R.J. (1971). Discriminating between the frequency of occurrence of two alternative events. Acta Psychologica, 35, 151–172. Google Scholar | Crossref | ISI |
