Abstract
Goodness-of-fit tests based on chi-square approximations are commonly used in the analysis of contingency tables. Results from algebraic statistics combined with MCMC methods provide alternatives to the chi-square approximation. However, within a model selection procedure usually a large number of models are considered and extensive simulations would be necessary. We show how the simulation effort can be reduced by an appropriate analysis of the involved Gröbner bases.
| Original language | English |
|---|---|
| Title of host publication | Algebraic and geometric methods in statistics |
| Editors | P. Gibilisco, E. Riccimagno, M.P. Rogantin, H.P. Wynn |
| Place of Publication | Cambridge |
| Publisher | Cambridge University Press |
| Pages | 83-97 |
| ISBN (Print) | 978-0-521-89619-1 |
| DOIs | |
| Publication status | Published - 2009 |