Hick's law in a stochastic race model with speed-accuracy tradeoff

Journal of Mathematical Psychology

Volumn 46, Issue 6, 2002, Pages 704-715

  Usher, Marius ^a   Olami, Zeev ^b   McClelland, James L ^c  

^a UNIVERSITY OF LONDON   (United Kingdom)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Accumulators; Choice RT; Diffusion; Hick's law; Race models; Shannon information; Speed accuracy tradeoff; Wiener process

Indexed keywords

EID: 0036948359     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmps.2002.1420     Document Type: Article

References (23)

1. Arfken, G. (1970). Mathematical methods for physicists. Academic Press: New York.
2. Busemeyer, J. R., & Townsend, J. T. (1993). Decision field theory. Psychological Review, 100, 432-459.
3. Christie, L. S., & Luce, R. D. (1956). Decision structure and time relations in simple choice behavior. Bulletin of Mathematical Biophysics, 18, 89-112.
4. Hick, W. E. (1952). On the rate of gain of information. Quarterly Journal of Experimental Psychology, 4, 11-26.
5. Karpiuk, P., Jr., Lacouture, Y., & Marley, A. A. J. (1997). A limited capacity, wave equality, random-walk model of absolute identification. In A. A. J. Marley (Ed.), Choice, decision and measure: Essays in Honor of R. Duncan Luce. Mahwah, NJ: Erlbaum.
6. Laming, D. R. (1966). A new interpretation for the relation between choice reaction time and the number of equiprobable alternatives. British Journal of Mathematical and Statistical Psychology, 19, 139-149.
7. Laming, D. R. (1968). Information theory of choice-reaction times. London:Academic Press.
8. Lacouture, Y., & Marley, A. A. J. (1991). A connectionist model of choice and reaction time in absolute identification. Connection Science, 3, 401-433.
9. Luce, D. R. (1986). Response times. New York: Oxford University Press.
10. Merkel, J. (1885). Die Zeitlichen Verhältnisse der Wiellensthätigkeit. Philosophische Studien, 2, 73-127.
11. Pachella, R. G., Fisher, D., & Karsh, R. (1968). Absolute judgments in speeded tasks: quantification of the trade-off between speed and accuracy. Psychonomic Science, 12, 225-226.
12. Pachella, R. G., & Fisher, D. (1972). Hick's law and the speed-accuracy trade-off in absolute judgment. Journal of Experimental Psychology, 92, 378-384.
13. Ratcliff, R. (1978). A theory of memory retrieval. Psychological Review, 85, 59-108.
14. Ratcliff, R. (1988). Continuous versus discrete information processing; modeling the accumulation of partial information. Psychological Review, 92, 212-225.
15. Ricciardi, L. (1977). Diffusion processes and related topics in biology. New York: Springer-Verlag.
16. Roberts, S., & Pashler, H. (2000). How persuasive is a good fit? A comment on theory testing. Psychological Review, 107, 358-367.
17. Swensson, R. G. (1972). The elusive trade-off: Speed versus accuracy in visual discrimination tasks. Perception and Psychophysics, 12, 16-32.
18. Teichner, W. H., & Krebs, M. J. (1974). Laws of visual choice reaction time. Psychological Review, 81, 75-98.
19. Usher, M., & McClelland, J. L. (2001). The time course of perceptual choice: the leaky competing accumulator model. Psychological Review, in press.
20. Vickers, D. (1970). Evidence for an accumulator of psychophysical discrimination. Ergonomics, 13, 37-58.
21. Vickers, D. (1979). Decision processes in visual perception. New York: Academic Press.
22. Vickers, D., & Lee, M. D. (2000). Dynamic models of simple judgments: II. Properties of self-organizing PAGAN (Parallel, Adaptive, Generalized Accumulator Network) model for multi-choice tasks. Non-linear Dynamics, Psychology and Life Sciences, 4, 1-31.
23. Welford, A. T. (1968). The measurement of sensory-motor performance: survey and reappraisal of twelve years of progress. Ergonomics, 3, 189-230.