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.Keywords: redundant signals, race model inequality, negative dependenceIn the redundant signals paradigm for simple reaction time (RT), the observer must initiate a response as quickly as possible following the detection of any stimulus onset. A typical finding is that of redundancy gain: Responses are faster, on average, when two or more signals are presented simultaneously than when a single signal appears. Since the pioneering study by Todd (1912), this redundant signals effect (RSE) has been replicated many times for both manual and saccadic RTs, and under different experimental settings, for example, comparing uni-versus multimodal stimulation (Amlôt, Walker, Driver, & Spence, 2003;Diederich, 1995;Diederich & Colonius, 1987;Diederich, Colonius, Bockhorst, & Tabeling, 2003;Gielen, Schmidt, & Van den Heuvel, 1983;Hughes, Nelson, & Aronchick, 1998;Miller, 1982Miller, , 1986Molholm, Ritter, Javitt, & Foxe, 2004), single versus multiple stimuli within the same modality (e.g., Schwarz & Ischebeck, 1994), or monocular versus binocular stimulation (Blake, Martens, & DiGianfillipo, 1980;Westendorf & Blake, 1988) and also for specific populations (e.g., Corballis, 1998; Marzi et al., 1996, for hemianopics;Miller, 2004, for individuals who have undergone split-brain surgery; Reuter-Lorenz, Nozawa, Gazzaniga, & Hughes, 1995;. Raab (1962) was the first to propose a race model for simple RT such that (a) each individual stimulus elicits a detection process performed in parallel to the others and (b) the winner's time determines the observable RT. This model suggests that RSE is generated by statistical facilitation: If detection latencies are interpreted as (nonnegative) random variables, the time to detect the first of several redundant signals is faster, on average, than the detection time for any single signal. A generalization of Raab's model was recently developed in Miller and Ulrich (2003).Testing the race model amounts to testing whether an observed RT speed-up is too large to be attributed to statistical facilitation (viz., probability summation). The race model inequality (RMI) proposed in Miller (1982) has become the standard testing tool in many RT studies. 1 It stipulates that the RT dist...