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| | Hi there. Let me start by introducing the author, her name is Sophia. North Carolina is where we've been residing for years and will never move. Credit authorising is how he makes cash. To perform lacross is the thing I love most of all.<br><br>my blog post - psychics online ([http://www.seekavideo.com/playlist/2199/video/ click the following page]) |
| In [[mathematics]] the '''signal-to-noise statistic''' [[distance]] between two [[vector (geometric)|vectors]] ''a'' and ''b'' with [[Arithmetic Mean|mean]] values <math>\mu _a</math> and <math>\mu _b</math> and [[standard deviation]] <math>\sigma _a</math> and <math>\sigma _b</math> respectively is:
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| :<math>D_{sn} = {(\mu _a - \mu _b) \over (\sigma _a + \sigma _b)}</math>
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| In the case of Gaussian-distributed data and unbiased class distributions, this statistic can be related to classification accuracy given an ideal linear discrimination, and a decision boundary can be derived.<ref>Auffarth, B., Lopez, M., Cerquides, J. (2010). Comparison of redundancy and relevance measures for feature selection in tissue classification of CT images. Advances in Data Mining. Applications and Theoretical Aspects. p. 248--262. Springer. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.170.1528</ref>
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| This distance is frequently used to identify vectors that have significant difference. One usage is in [[bioinformatics]] to locate [[genes]] that are differential [[Gene expression|expressed]] on [[microarray]] experiments.<ref>Pomeroy, S.L. et al. [http://www.broad.mit.edu/mpr/CNS/ Gene Expression-Based Classification and Outcome Prediction of Central Nervous System Embryonal Tumors]. Nature 415, 436–442.</ref>
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| ==See also==
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| *[[Distance]]
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| *[[Uniform norm]]
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| *[[Manhattan distance]]
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| *[[Signal-to-noise ratio]]
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| *[[Signal to noise ratio (imaging)]]
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| ==Notes==
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| {{Reflist}}
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| {{DEFAULTSORT:Signal-To-Noise Statistic}}
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| [[Category:Statistical distance measures]]
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| [[Category:Statistical ratios]]
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| {{Statistics-stub}}
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Latest revision as of 12:41, 4 September 2014
Hi there. Let me start by introducing the author, her name is Sophia. North Carolina is where we've been residing for years and will never move. Credit authorising is how he makes cash. To perform lacross is the thing I love most of all.
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