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Sensitivity index : ウィキペディア英語版
Sensitivity index
The sensitivity index or ''d (pronounced 'dee-prime') is a statistic used in signal detection theory. It provides the separation between the means of the signal and the noise distributions, compared against the standard deviation of the noise distribution. For normally distributed signal and noise with mean and standard deviations \mu_S and \sigma_S, and \mu_N and \sigma_N, respectively, d' is defined as:
: d' = \frac(\sigma_S^2 + \sigma_N^2)}}〔Samuel Gale and David Perkel. A Basal Ganglia Pathway Drives Selective Auditory Responses in Songbird Dopaminergic Neurons via Disinhibition. The Journal of Neuroscience (2010). 30(3):1027–1037〕
An estimate of d' can be also found from measurements of the hit rate and false-alarm rate. It is calculated as:
::''d = ''Z''(hit rate) − ''Z''(false alarm rate),〔(MacMillan N, Creelman C (2005) Detection Theory: A User’s Guide. Lawrence Erlbaum Associates. (p. 7) )〕
where function ''Z''(''p''), ''p'' ∈ (), is the inverse of the cumulative distribution function of the Gaussian distribution.
''d' '' is a dimensionless statistic. A higher ''d indicates that the signal can be more readily detected.
==See also==

* Receiver operating characteristic (ROC)
* Summary statistics

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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