Minimal Markov Basis for Tests of Main Effect Models for 2p-1Fractional Factorial Designs of Resolutionp

DOI10.1080/03610918.2014.906609zbMath1474.62289arXiv1302.2408OpenAlexW2108735402MaRDI QIDQ5860244

Satoshi Aoki

Publication date: 19 November 2021

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2408

zbMATH Keywords

Markov chain Monte Carlosufficient statisticsidealsfractional factorial designsgeneralized linear modelsconditional testsMarkov bases

Mathematics Subject Classification ID

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

Uses Software

• 4ti2

Cites Work

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• 4ti2
• Markov bases in algebraic statistics.
• Markov chain Monte Carlo tests for designed experiments
• Toric ideals generalized by quadratic binomials
• Markov bases for decomposable graphical models
• Algebraic algorithms for sampling from conditional distributions
• Monte Carlo sampling methods using Markov chains and their applications

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