On Statistical Significance of signal

  • 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.
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  • [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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On Statistical Significance of signal

    Corresponding author: ZHU Yong-Sheng,
  • Institute of High Energy Physics, CAS, Beijing 100049, China

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.

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