The classic rank-based method for comparing J dependent groups is Friedman’s test. Consider a random sample of n vectors from some J-variate distribution. As is well-known, Friedman’s test assigns ranks to the values within each vector and is based on a compound symmetry assumption under the hypothesis of no treatment effect (e.g., Brunner, Domhof, & Langer, p. 68). That is, the distribution is...

In Part I of this thesis, we locate a (conjecturally complete) set of unitary representations in the admissible dual of U(p, q). In a little more detail, Barbasch and Vogan have used the theory of Kazhdan-Lusztig cells to parametrize the irreducible Harish-Chandra modules with integral infinitesimal character in terms of their annihilators and associated varieties. Vogan has conjectured that th...

The binding of syndapin SH3 domain to dynamin proline-rich domain involves short and long distance elements. (2015). Chloride channel ClC-5 binds to aspartyl aminopeptidase to regulate renal albumin endocytosis. (2015). Glycogen synthase kinase 3 regulates acrosomal exocytosis in mouse spermatozoa via dynamin phosphorylation. (2015). Microtubule-associated protein 6 mediates neuronal connectivi...

TO THE EDITOR—We thank Robinson [1] for the comments about our report [2] and for the opportunity to clarify our findings. As we stated in our research protocol (clinical trials registration NCT00500578) in the Materials and Methods section in our report, as well as in our response to Fätkenheuer et al [3], the prespecified significance threshold for declaring one arm superior to the other was ...

We exhibit a weight-preserving bijection between semi-standard Young tableaux and semi-skyline augmented fillings to provide a combinatorial proof that the Schur functions decompose into nonsymmetric functions indexed by compositions. The insertion procedure involved in the proof leads to an analogue of the Robinson-SchenstedKnuth Algorithm for semi-skyline augmented fillings. This procedure co...

Tableaux have long been used to study combinatorial properties of permutations and multiset permutations. Discovered independently by Robinson and Schensted and generalized by Knuth, the Robinson-Schensted correspondence has provided a fundamental tool for relating permutations to tableaux. In 1963, Schützenberger defined a process called evacuation on standard tableaux which gives a relationsh...

A class of solutions of the low energy string theory in four dimensions is studied. This class admits a geodesic, shear-free null congruence which is non-twisting but in general diverging and the corresponding solutions in Einstein’s theory form the Robinson-Trautman family together with a subset of the Kundt’s class. The Robinson-Trautman conditions are found to be frame invariant in string th...

We study the combinatorics of fully commutative elements in Coxeter groups of type H n for any n > 2. Using the results, we construct certain canonical bases for non-simply-laced generalized Temperley–Lieb algebras and show how to relate them to morphisms in the category of decorated tangles.