Plasma parameter: Difference between revisions
en>ZéroBot m r2.7.1) (Robot: Adding de:Plasmaparameter |
en>Edward m link dimensionless number using Find link |
||
| Line 1: | Line 1: | ||
{{lowercase|title=d'}} | |||
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 [[Normal distribution|normally distributed]] signal and noise with mean and standard deviations <math>\mu_S</math> and <math>\sigma_S</math>, and <math>\mu_N</math> and <math>\sigma_N</math>, respectively, d' is defined as: | |||
: <math>d' = \frac{\mu_S - \mu_N}{\sqrt{\frac{1}{2}(\sigma_S^2 + \sigma_N^2)}}</math><ref>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</ref> | |||
An estimate of d' can be also found from measurements of the hit rate and [[False alarm|false-alarm]] rate. It is calculated as: | |||
::''d''' = ''Z''(hit rate) - ''Z''(false alarm rate),<ref>MacMillan N, Creelman C (2005) Detection Theory: A User’s Guide. Lawrence Erlbaum Associates. (p.7) Retrieved from: http://books.google.co.uk/books/about/Detection_Theory.html?id=hDX65v9bReYC</ref> | |||
where function ''Z''(''p''), ''p'' ∈ [0,1], is the inverse of the [[Normal distribution#Cumulative distribution function|cumulative Gaussian distribution]]. | |||
''d' '' is a [[dimensionless]] statistic. A higher ''d''' indicates that the signal can be more readily detected. | |||
==See also== | |||
* [[Receiver Operating Characteristic]] (R.O.C.) | |||
* [[Summary Statistics]] | |||
==References== | |||
{{reflist}} | |||
* Wickens, Thomas D. (2001) ''Elementary Signal Detection Theory'', OUP USA. ISBN 0-19-509250-3 (Ch.2, p.20). [http://books.google.com/books?vid=ISBN0195092503&id=s3pGN_se4v0C&pg=PA22&lpg=PA22&dq=Thomas+D.+Wickens Excerpts] | |||
==External links== | |||
<!-- Please see [[Wikipedia:External links]] for guidelines on appropriate external links. --> | |||
*[http://wise.cgu.edu/sdtmod/index.asp Interactive signal detection theory tutorial] including calculation of d'. | |||
[[Category:Detection theory]] | |||
[[Category:Signal processing]] | |||
[[Category:Summary statistics]] | |||
{{Signal-processing-stub}} | |||
{{stat-stub}} | |||
Revision as of 17:23, 7 January 2014
Template:Lowercase 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 and , and and , respectively, d' is defined as:
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),[2]
where function Z(p), p ∈ [0,1], is the inverse of the cumulative Gaussian distribution.
d' is a dimensionless statistic. A higher d' indicates that the signal can be more readily detected.
See also
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- Wickens, Thomas D. (2001) Elementary Signal Detection Theory, OUP USA. ISBN 0-19-509250-3 (Ch.2, p.20). Excerpts
External links
- Interactive signal detection theory tutorial including calculation of d'.
Template:Signal-processing-stub
Template:Stat-stub
- ↑ 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
- ↑ MacMillan N, Creelman C (2005) Detection Theory: A User’s Guide. Lawrence Erlbaum Associates. (p.7) Retrieved from: http://books.google.co.uk/books/about/Detection_Theory.html?id=hDX65v9bReYC