Talk
The geometry of hierarchical models for contingency tables
- Thomas Kahle (MPI MiS, Leipzig)
Abstract
Exponential families for modeling contingency tables are also known as hierarchical models. In this talk we will discuss a geometric approach to the theory of these statistical models. The key insight for a geometric view is that an exponential familiy is the set of solutions of binomial equations (such as p(00)*p(11) = p(10)*p(01) for independence) and thereby a algebraic variety.