The race model inequality: Interpreting a geometric measure of the amount of violation
The race model inequality: Interpreting a geometric measure of the amount of violation
复制标题
DOI:
10.1037/0033-295x.113.1.148
复制
发表时间:
2006-01-01
影响因子:
5.4
通讯作者:
Diederich, A
中科院分区:
文献类型:
--
作者:
Colonius, H;Diederich, A
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.