An auditory detection experiment was performed with rats as subjects, and the data were analyzed with a signal detection model. Rats were run at fixed sound pressure levels, and their responses were partitioned so that operating characteristics could be constructed. Measures of detectability, (d(e))((1/2)), were calculated from the operating characteristics, and show that (d(e))((1/2)) is a function of sound pressure levels, rising as these levels rise.
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Martin H. Hack (1963) studied this question.