Markov basis for design of experiments with three-level factors

Details Markov basis for design of experiments with three-level factors Markov basis for design of experiments with three-level factors

2007-09-27

arxiv.org/abs/0709.4323v2

Algebraic and Geometric Methods in Statistics, Cambridge University Press, 2009, 225--238

Statistics

Methodology

17 pages

Scientific paper

We consider Markov basis arising from fractional factorial designs with three-level factors. Once we have a Markov basis, $p$ values for various conditional tests are estimated by the Markov chain Monte Carlo procedure. For designed experiments with a single count observation for each run, we formulate a generalized linear model and consider a sample space with the same sufficient statistics to the observed data. Each model is characterized by a covariate matrix, which is constructed from the main and the interaction effects we intend to measure. We investigate fractional factorial designs with $3^{p-q}$ runs noting correspondences to the models for $3^{p-q}$ contingency tables.

Affiliated with

Also associated with

No associations

Rating

Markov basis for design of experiments with three-level factors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Markov basis for design of experiments with three-level factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov basis for design of experiments with three-level factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481219