Parallel psychometric functions from a set of independent detectors

David M. Green, R. Duncan Luce
1975 Psychological review  
Consider combining several elementary detectors by the extreme decision rule of responding "no" only when all elementary detectors respond "no" and "yes" otherwise. The question raised is: Which psychometric functions for the detectors have the property that the resulting psychometric function is simply the original function displaced in the logarithm of the physical scale? The answer is p(I) = 1 -e~M, a, 0 > 0.
doi:10.1037/0033-295x.82.6.483 fatcat:csla3aotsrg7pj6pcc5snu4bym