Continuous and discrete theories of detection and recognition

Richardson, John T. E. (1974). Continuous and discrete theories of detection and recognition. British Journal of Mathematical and Statistical Psychology, 27(2) pp. 164–171.

DOI: https://doi.org/10.1111/j.2044-8317.1974.tb00536.x

Abstract

Some relationships between the mathematical representations of general theories of detection and recognition memory are considered. In particular, it is demonstrated that two classes of theory are formally equivalent, a result which confirms some informal suggestions made by Broadbent. However, the two kinds of theory are shown to be substantively distinguishable, insofar as they differ over the interpretation of the mathematical representation. This leads to certain asymmetries between the theories, and their differential predictions are discussed.

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