Abstract
In the bimodal detection task, the observer must respond as soon as a signal is presented in either of two modalities (e.g., a tone or a flash). A typical finding is a facilitation of reaction time for redundant-signal trials, that is, when both signals are presented simultaneously. Separate-activation models assume that the two signals are processed simultaneously within different channels and that a response is initiated as soon as an activation level is exceeded in either channel. This paper examines a number of approaches to formulating a model of the stochastic mechanisms involved. Conditions allowing inference of the correlational structure of the channel processes are discussed, and new models are proposed. Moreover, distribution inequalities for testing of the models under weakened independence assumptions are derived.
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Conway, D. (1983). Farlie-Gumbe1-Morgenstern distributions.Encyclopedia of Statistical Sciences,3, 28–31.
Gielen, S. C. A. M., Schmidt, R. A., &Van Den Heuvel, P. J. M. (1983). On the nature of intersensory facilitation of reaction time.Perception & Psychophysics,34, 161–168.
Grice, G. R., Canham, L., &Boroughs, J. M. (1984). Combination rule for redundant information in reaction time tasks with divided attention.Perception & Psychophysics,35, 451–463.
Huang, J. S., &Kotz, S. (1984). Correlation structure in iterated Farlie-Gumbel-Morgenstern distributions.Biometrika,71, 633–636.
Johnson, N. L., &Kotz, S. (1972).Distributions in statistics: Continuous multivariate distributions. New York: Wiley.
Lehman, E. L. (1966). Some concepts of dependence.Annals of Mathematical Statistics,39, 1137–1153.
Miller, J. (1982). Divided attention: Evidence for coactivation with redundant signals.Cognitive Psychology,14, 247–279.
Raab, D. (1962). Statistical facilitation of simple reaction times.Transactions of the New York Academy of Sciences,24, 574–590.
Tong, Y. L. (1980).Probability inequalities in multivariate distributions. New York: Academic Press.
Ulrich, R., &Giray, M. (1986). Separate-activation models with variable base-times: Testability and checking cross-channel dependency.Perception & Psychophysics,39, 248–254.
Van Der Heuden, A. H. C., Schreuder, R., Maris, L., &Neerincx, M. (1984). Some evidence for correlated separate activation in a simple letter-detection task.Perception & Psychophysics,36, 577–585.
Whitt, W. (1976). Bivariate distributions with given marginals.The Annals of Statistics,4, 1280–1289.
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Colonius, H. Measuring channel dependence in separate activation models. Perception & Psychophysics 40, 251–255 (1986). https://doi.org/10.3758/BF03211504
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DOI: https://doi.org/10.3758/BF03211504