On combining significances. Some trivial examples

Abstract

For Poisson distribution $Pois(n,\lambda )$ with $\lambda \gg 1$, $n\gg 1$ we propose to determine significance as $S=\frac{n_{obs}-\lambda }{\sqrt{\lambda }}$. The significance $S$ coincides up to sign with often used significance. For experiments which measure the same quantities the natural but not unique rule for significance combining is $S_{comb}(S_1,S_2)=\frac{S_1{\sigma }_1+S_2{\sigma }_2}{\sqrt{{\sigma }_1^2+{\sigma }_2^2}}$, where ${\sigma }_1$ and ${\sigma }_2$ are variations. We also propose the rule for significances combining for the case with systematic errors.

6 pages

References in corpus (2)

• Annotated Bibliography of Some Papers on Combining Significances or p-values
• On the Combining Significances