Tests of uniformity for rank data, the symmetric group, and frames

10/13/2009 - 12:15pm
10/13/2009 - 1:10pm
Michael Orrison (Harvey Mudd College)

In this talk, I'll present some ongoing work I'm doing with Anna Bargagliotti (Univ. of Memphis) concerning linear tests of uniformity for rank data. In particular, I'll show how the representation theory of the symmetric group plays a natural role when trying to understand why different tests of uniformity might react differently to the same data set. I'll also say something about the intriguing appearance of "group frames" in the computation of a couple of popular linear test statistics.

Millikan 208 (Pomona College)