Statistical Laboratory
Iowa State University
DATE AND TIME: Friday, January 14, 2005, 4:10 p.m.
PLACE: 319 Snedecor
SPEAKER: Yuguo Chen, Institute of Statistics and Decision Sciences, Duke
University, Durham, North Carolina
TITLE: Sampling for Conditional Inference on Multiway Tables
ABSTRACT
We describe an efficient sequential Monte Carlo method for sampling
multiway tables with given constraints, which can be used to approximate exact
conditional inference on contingency tables. An essential feature of our
new method is that it samples table entries sequentially according to an
appropriate proposal distribution. The sequential sampling approach
"divides and conquers" the difficult task of finding an appropriate proposal
distribution for a multiway table with complex constraints.
Computational commutative algebra is used to provide conditions that
guarantee that our method has certain good properties. We apply our method
to a range of examples from social and medical sciences to demonstrate its
efficiency in real problems.
COFFEE: 3:45 p.m., 104 Snedecor Hall