Multiple P -values and Bonferroni correction

What Is the Bonferroni Correction?

The Bonferroni correction is an adjustment made to P values when several dependent or independent statistical tests are being performed simultaneously on a single data set. To perform a Bonferroni correction, divide the critical P value (α) by the number of comparisons being made. For example, if 10 hypotheses are being tested, the new critical P value would be α/10. The statistical power of th...

Multiple significance tests: the Bonferroni method.

Multiple Comparisons: Bonferroni Corrections and False Discovery Rates

Statistical analysis of a data set typically involves testing not just a single hypothesis, but rather many (often very many!). For any particular test, we may assign a pre-set probability α of a type-1 error (i.e., a false positive, rejecting the null hypothesis when in fact it is true). The problem is that using a (say) value of α = 0.05 means that roughly one out of every twenty such tests w...

P 122: Dietary Habits and Multiple Sclerosis

Multiple sclerosis (MS) is an inflammatory and autoimmune disease.MS is characterized by blood brain barrier breakdown, inflammation, axonal injury, degeneration of the myelin sheath and etc. A significant association between inflammation and degeneration of neurons is observed in the brain. Also active MS lesions always associated with inflammation thus inflammation is a target for treatment o...

Test statistics and p-values

We point out that the traditional notion of test statistic is too narrow, and we propose a natural generalization that is arguably maximal. The study is restricted to simple statistical hypotheses. An older version of this paper is published as an arXiv technical report: https: //arxiv.org/abs/1702.02590.