On Statistical Significance of signal

ZHU Yong-Sheng

Chinese Physics C> 2006, Vol. 30> Issue(4) : 331-334

On Statistical Significance of signal

ZHU Yong-Sheng ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

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Abstract：
A definition for the statistical significance of a signal in an experiment is proposed by establishing a correlation between the observed p-value and the normal distribution integral probability, which is suitable for both counting experiment and continuous test statistics. The explicit expressions to calculate the statistical significance for both cases are given.

References

[1]

. Sinervo P K. Proc. of Conf., Advanced Statistical Tech-niques in Particle Physics. Durham, UK, 18-22 March,2002, 64. hep-ex/02080052. Bityukov S I et al. Nucl. Instrum. and Methods, 2000,A452: 5183. Bityukov S I et al. Proc. of Conf. Advanced Statistical Techniques in Particle Physics. Durham, UK, 18-22 March,2002. 774. Narsky I. Nucl. Instrum. and Methods, 2000, A450: 4445. Eidelman S et al(Particle Data Group). Phys. Lett., 2004,B592: 16. Eadie W T et al. Statistical Methods in Experimental Physics. Amsterdam: North-Holland Publishing Co., 1971.Section 10.5

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ZHU Yong-Sheng. On Statistical Significance of signal[J]. Chinese Physics C, 2006, 30(4): 331-334.

ZHU Yong-Sheng. On Statistical Significance of signal[J]. Chinese Physics C, 2006, 30(4): 331-334. shu

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Received: 2005-09-08
Revised: 2005-10-25

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沈阳化工大学材料科学与工程学院沈阳 110142

On Statistical Significance of signal

ZHU Yong-Sheng ^,

Corresponding author: ZHU Yong-Sheng,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2005-09-08
Accepted Date: 2005-10-25
Available Online: 2006-04-05

Abstract: A definition for the statistical significance of a signal in an experiment is proposed by establishing a correlation between the observed p-value and the normal distribution integral probability, which is suitable for both counting experiment and continuous test statistics. The explicit expressions to calculate the statistical significance for both cases are given.