Material Detail

Algebraic statistics and contingency tables

Algebraic statistics and contingency tables

This video was recorded at NIPS Workshop on Algebraic and Combinatorial Methods in Machine Learning, Whistler 2008. In this talk I will give an overview of the role of algebraic statistics in the statistical analysis of contingency tables. I will survey major areas in which algebraic methods proved to be crucial and provided a fertile ground for novel research directions: computation of sharp integer bounds for cell entries, existence of maximum likelihood estimates, simulation from probability distributions on spaces of tables, Markov bases, high-dimensional sparse tables with structural zeros, log-linear model selection. I will give examples that illustrate this methodology and talk about open problems.

Quality

  • User Rating
  • Comments
  • Learning Exercises
  • Bookmark Collections
  • Course ePortfolios
  • Accessibility Info

More about this material

Comments

Log in to participate in the discussions or sign up if you are not already a MERLOT member.