The race model inequality: Interpreting a geometric measure of the amount of violation

Psychological Review

Volumn 113, Issue 1, 2006, Pages 148-154

  Colonius, Hans ^a   Diederich, Adele ^b  

^a UNIVERSITY OF OLDENBURG   (Germany)

^b JACOBS UNIVERSITY BREMEN   (Germany)

Author keywords

Negative dependence; Race model inequality; Redundant signals

Indexed keywords

HEARING; HUMAN; PSYCHOLOGICAL MODEL; REACTION TIME; REVIEW; STATISTICAL ANALYSIS; VISION;

AUDITORY PERCEPTION; DATA INTERPRETATION, STATISTICAL; HUMANS; MODELS, PSYCHOLOGICAL; REACTION TIME; VISUAL PERCEPTION;

EID: 33244458219     PISSN: 0033295X     EISSN: None     Source Type: Journal    
DOI: 10.1037/0033-295X.113.1.148     Document Type: Review

References (45)

1. Amlôt, R., Walker, R., Driver, J., & Spence, C. (2003). Multimodal visual-somatosensory integration in saccade generation. Neuropsychologia, 41, 1-15.
2. Ashby, F. G., & Townsend, J. T. (1986). Varieties of perceptual independence. Psychological Review, 93, 154-179.
3. Billingsley, P. (1979). Probability and measure. New York: Wiley.
4. Blake, R., Martens, W., & DiGianfillipo, A. (1980). Reaction time as a measure of binocular interaction in human vision. Investigative Ophthalmology, 19, 930-941.
5. Colonius, H. (1986). Measuring channel dependence in separate activation models. Perception & Psychophysics, 40, 251-255.
6. Colonius, H. (1990). Possibly dependent probability summation of reaction time. Journal of Mathematical Psychology, 34, 253-275.
7. Colonius, H. (1999). A theorem on parallel processing models with a generalized stopping rule. Mathematical Social Sciences, 38, 247-258.
8. Colonius, H., & Eilermeier, W. (1997). Distribution inequalities for parallel models of reaction time with an application to auditory profile analysis. Journal of Mathematical Psychology, 41, 19-27.
9. Colonius, H., & Townsend, J. T. (1997). Activation-state representation of models for the redundant signals effect. In A. A. J. Marley (Ed.), Choice, decision, and measurement: Essays in honor of R. Duncan Luce (pp. 245-254). Mahwah, NJ: Erlbaum.
10. Colonius, H., & Vorberg, D. (1994). Distribution inequalities for parallel models with unlimited capacity. Journal of Mathematical Psychology, 38, 35-58.
11. Corballis, M. C. (1998). Interhemispheric neural summation in the absence of the corpus callosum. Brain, 121, 1795-1807.
12. Diederich, A. (1992). Probability inequalities for testing separate activation models of divided attention. Perception & Psychophysics, 52, 714-716.
13. Diederich, A. (1995). Intersensory facilitation of reaction time: Evaluation of counter and diffusion coactivation models. Journal of Mathematical Psychology, 39, 197-215.
14. Diederich, A., & Colonius, H. (1987). Intersensory facilitation in the motor component ? A reaction time analysis. Psychological Research, 49, 23-29.
15. Diederich, A., & Colonius, H. (2004). Bimodal and trimodal multisensory enhancement of reaction time: Effects of stimulus onset and intensity. Perception & Psychophysics, 66, 1388-1404.
16. Diederich, A., Colonius, H., Bockhorst, D., & Tabeling, S. (2003). Visual-tactile interaction in saccade generation. Experimental Brain Research, 148, 328-337.
17. Galambos, J., & Kotz, S. (1978). Characterizations of probability distributions. Berlin, Germany: Springer-Verlag.
18. Gielen, S. C. A. M., Schmidt, R. A., & Van den Heuvel, P. Y. M. (1983). On the nature of intersensory facilitation of reaction time. Perception & Psychophysics, 34, 161-168.
19. Hughes, H. C., Nelson, M. D., & Aronchick, D. M. (1998). Spatial characteristic of visual-auditory summation in human saccades. Vision Research, 38, 3955-3963.
20. Joe, H. (1997). Multivariate models and dependence concepts. London: Chapman & Hall.
21. Luce, R. D. (1986). Response times: Their role in inferring elementary mental organization. New York: Oxford University Press.
22. Maris, G., & Maris, E. (2003). Testing the race model inequality: A nonparametric approach. Journal of Mathematical Psychology, 47, 507-514.
23. Marzi, C. A., Smania, N., Martini, M. C., Gambina, G., Tomerelli, G., Palamara, A., et al. (1996). Implicit-redundant target effects in visual extinction. Neuropsychologia, 34, 9-22.
24. Miller, J. O. (1978). Multidimensional same-different judgments: Evidence against independent comparisons of dimensions. Journal of Experimental Psychology: Human Perception and Performance, 4, 411-422.
25. Miller, J. O. (1982). Divided attention: Evidence for coactivation with redundant signals. Cognitive Psychology, 14, 247-279.
26. Miller, J. O. (1986). Timecourse of coactivation in bimodal divided attention. Perception & Psychophysics, 40, 331-343.
27. Miller, J. O. (1991). Channel interaction and the redundant targets effect in bimodal divided attention. Journal of Experimental Psychology: Human Perception and Performance, 17, 160-169.
28. Miller, J. O. (2004). Exaggerated redundancy gain in the split brain: A hemispheric coactivation account. Cognitive Psychology, 49, 118-154.
29. Miller, J. O., & Ulrich, R. (2003). Simple reaction time and statistical facilitation: A parallel gains model. Cognitive Psychology, 46, 101-151.
30. Molholm, S., Ritter, W., Javitt, D., & Foxe, J. J. (2004). Multisensory visual-auditory object recognition in humans: A high-density electrical mapping study. Cerebral Cortex 14, 452-465.
31. Mordkoff, J. T., & Yantis, S. (1991). An interactive race model of divided attention. Journal of Experimental Psychology: Human Perception and Performance, 17, 520-538.
32. Nozawa, G., Reuter-Lorenz, P. A., & Hughes, H. C. (1994). Parallel and serial processes in the human oculomotor system: Bimodal integration and express saccades. Biological Cybernetics, 72, 19-34.
33. Raab, D. H. (1962). Statistical facilitation of simple reaction times. Transactions of the New York Academy of Sciences, 24, 574-590.
34. Reuter-Lorenz, P. A., Nozawa, G., Gazzaniga, M. S., & Hughes, H. C. (1995). Fate of neglected targets: A Chronometric analysis of redundant target effects in the bisected brain. Journal of Experimental Psychology: Human Perception and Performance, 21, 211-230.
35. Savazzi, S., & Marzi, C. A. (2004). The superior colliculus subserves interhemispheric neural summation in both normals and patients with a total section or agenesis of the corpus callosum. Neuropsychologia, 42, 1608-1618.
36. Schwarz, W., & Ischebeck, A. (1994). Coactivation and statistical facilitation in the detection of lines. Perception, 23, 157-168.
37. Thompson, J. R. (2000). Simulation: A modeler's approach. New York: Wiley.
38. Todd, J. W. (1912). Reactions to multiple stimuli. In R. S. Woodworth (Ed.), Archives of psychology: No. 25. Columbia contributions to philosophy and psychology (Vol. 21, No. 8). New York: Science Press.
39. Townsend, J. T., & Nozawa, G. (1995). Spatio-temporal properties of elementary perception: An investigation of parallel, serial, and coactive theories. Journal of Mathematical Psychology, 39, 321-359.
40. Townsend, J. T., & Nozawa, G. (1997). Serial exhaustive models can violate the race model inequality: Implications for architecture and capacity. Psychological Review, 104, 595-602.
41. Townsend, J. T., & Wenger, M. J. (2004). A theory of interactive parallel processing: New capacity measures and predictions for a response time inequality series. Psychological Review, 111, 1003-1035.
42. Turatto, M., Mazza, V., Savazzi, S., & Marzi, C. A. (2004). The role of the magnocellular and parvocellular systems in the redundant target effect. Experimental Brain Research, 158, 141-150.
43. Ulrich, R., & Giray, M. (1986). Separate-activation models with variable base time: Testability and checking of cross-channel dependency. Perception & Psychophysics, 36, 545-558.
44. Ulrich, R., & Miller, J. O. (1997). Tests of race models for reaction time experiments with asynchronous redundant targets. Journal of Mathematical Psychology, 41, 367-381.
45. Westendorf, D. H., & Blake, R. (1988). Binocular reaction times to contrast increments. Vision Research, 28, 355-359.