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A NON‐PARAMETRIC MEASURE OF SIGNAL DISCRIMINABILITY
Author(s) -
Altham Patricia M. E.
Publication year - 1973
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1973.tb00501.x
Subject(s) - measure (data warehouse) , monotonic function , trace (psycholinguistics) , mathematics , parametric statistics , monotone polygon , function (biology) , statistics , parametric model , constant (computer programming) , signal (programming language) , computer science , mathematical analysis , data mining , linguistics , philosophy , geometry , evolutionary biology , biology , programming language
The estimation of a non‐parametric measure of signal discriminability is discussed and its behaviour investigated under the following conditions: ( a ) when the ‘trace’ distributions for the two signals being compared differ only by a shift parameter, Λ ( b ) when the probability density function of the trace is a monotone likelihood ratio; and ( c ) when the subject bases his response on a likelihood‐ratio rule, with a constant criterion. In this case the measure of discriminability is an increasing function of the shift, A. This monotonicity also holds for the two‐response experiment under rather more general conditions. Data from such an experiment are used as an example.