Markov chain Monte Carlo tests for designed experiments

DOI10.1016/j.jspi.2009.09.010zbMath1177.62097arXivmath/0611463OpenAlexW1973398851MaRDI QIDQ1044075

Satoshi Aoki, Akimichi Takemura

Publication date: 10 December 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611463

zbMATH Keywords

Markov chain Monte Carlocontingency tablesMarkov basistwo-level designsregular fractional factorial designs

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical analysis or methods applied to Markov chains (65C40) Factorial statistical designs (62K15) Contingency tables (62H17)

Related Items (10)

Markov bases and subbases for bounded contingency tables ⋮ A characterization of saturated designs for factorial experiments ⋮ Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals ⋮ Markov basis and Gröbner basis of Segre-Veronese configuration for testing independence in group-wise selections ⋮ Orbit-based conditional tests. A link between permutations and Markov bases ⋮ Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics ⋮ Two-factor saturated designs: cycles, Gini index, and state polytopes ⋮ Statistical testing procedure for the interaction effects of several controllable factors in two-valued input-output systems ⋮ Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations ⋮ Minimal Markov Basis for Tests of Main Effect Models for 2^p-1Fractional Factorial Designs of Resolutionp

Uses Software

• 4ti2

Cites Work

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