Combining P-Values Via Averaging

Combining Statistical Tests by Multiplying P-values

A general discussion on combining statistical hypothesis tests is followed by an application involving point source detection in skymaps. The traditional literature on combining statistical tests has concentrated on a regime in which p-values as large as 0.05 are still of interest, and in which it is dangerous to treat tests as truly independent. But for point source detection, very small p-val...

Truncated product method for combining P-values.

We present a new procedure for combining P-values from a set of L hypothesis tests. Our procedure is to take the product of only those P-values less than some specified cut-off value and to evaluate the probability of such a product, or a smaller value, under the overall hypothesis that all L hypotheses are true. We give an explicit formulation for this P-value, and find by simulation that it c...

Combining evidence using p-values: application to sequence homology searches

MOTIVATION To illustrate an intuitive and statistically valid method for combining independent sources of evidence that yields a p-value for the complete evidence, and to apply it to the problem of detecting simultaneous matches to multiple patterns in sequence homology searches. RESULTS In sequence analysis, two or more (approximately) independent measures of the membership of a sequence (or...

Combining SNP P-Values in Gene Sets: the cpvSNP Package

Averaging via Dirichlet Forms

We study diffusion processes driven by a Brownian motion with regular drift in a finite dimension setting. The drift has two components on different time scales, a fast conservative component and a slow dissipative component. Using the theory of Dirichlet form and Mosco-convergence we obtain simpler proofs, interpretations and new results of the averaging principle for such processes when we sp...