Genome-wide association studies the evaluation of association between candidate gene and disease status is widely carried out using Cochran-Armitage trend test. However, only a small number of research papers have evaluated the distribution of p-values for the Cochran-Armitage trend test. In this paper, an enhanced version of Cochran-Armitage trend test based on bootstrap approach is introduced...

Cochran introduced Alexander polynomials over non–commutative Laurent polynomial rings. Their degrees were studied by Cochran, Harvey and Turaev as they give lower bounds on the Thurston norm. We first extend Cochran’s definition to twisted Alexander polynomials. We then show how Reidemeister torsion relates to these invariants and we give lower bounds on the Thurston norm in terms of the Reide...

which restricts to the given links at the ends. A link is called (topologically) slice if it is concordant to the trivial m–component link or, equivalently, if it bounds a flat embedding of m disjoint slice disks D2 ∐ · · · ∐D2 ֒→ D4. In the special case m = 1 we refer to the link as a knot. If the embeddings above are required to be C, or smooth, then these notions are called smoothly concordan...

To students of causality, the writings of William Cochran provide an excellent and intriguing vantage point for studying how statistics, lacking the necessary mathematical tools, managed nevertheless to cope with increasing demands for policy evaluation from observational studies. Cochran met this challenge in the years 1955-1980, when statistics was preparing for a profound, albeit tortuous tr...