Ratko-Dehnert E, Zehetleitner M, 2011, "Monte Carlo study on the power of the race model inequality" Perception 40 ECVP Abstract Supplement, page 174
Monte Carlo study on the power of the race model inequality
E Ratko-Dehnert, M Zehetleitner
Ever since Miller [Miller, 1982 Cognitive Psychology 14 247–279] formulated the race model inequality (RMI), it has become the standard method for detecting coactivation in the redundant search paradigm. So far, the main theoretical concern lay in avoiding alpha-errors when applying the RMI [Kiesel, 2007 Behaviour Research Methods 39(3) 539–551]. In this Monte Carlo Simulation study we evaluated what power and effective alpha-errors are to be expected for empirically plausible sets of redundancy gains and mean response times, when assuming a coactivated diffusion model. To generate empirically consistent reaction time data, we used Ratcliff Diffusion Models [Ratcliff, 1988 Psychological Review 95(2) 238–255]. We varied the superposition in both channels from “low coactivation” to “full coactivation” parametrically, thereby extending the method of Schwarz (1994 Journal of Mathematical Psychology 38 504–520) in a continuous fashion. This allows the investigation of the relationship between strength of coactivation and RMI violations for different experimental conditions (fast vs slow decision and non-decision times). Results from this study could serve as justification for adapting the alpha level of t-tests to achieve a higher power in detecting RMI violations [Cohen, 1988 Statistical Power Analysis for the Behavioral Sciences (Hillsdale, NJ: Earlbaum)].
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