The race model inequality: interpreting a geometric measure of the amount of violation |
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Authors: | Colonius Hans Diederich Adele |
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Institution: | Department of Psychology, Oldenburg University, Oldenburg, Germany. hans.colonius@uni-oldenburg.de |
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Abstract: | An inequality by J. O. Miller (1982) has become the standard tool to test the race model for redundant signals reaction times (RTs), as an alternative to a neural summation mechanism. It stipulates that the RT distribution function to redundant stimuli is never larger than the sum of the distribution functions for 2 single stimuli. When many different experimental conditions are to be compared, a numerical index of violation is very desirable. Widespread practice is to take a certain area with contours defined by the distribution functions for single and redundant stimuli. Here this area is shown to equal the difference between 2 mean RT values. This result provides an intuitive interpretation of the index and makes it amenable to simple statistical testing. An extension of this approach to 3 redundant signals is presented. |
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