Aoki, Satoshi Creator Faculty aoki@math.kobe-u.ac.jp Hibi, Takayuki Creator MATH / Applied Mathematics Illinois Institute of Technology Affiliated department Conditional test Contingency table Distributive lattice Gröbner basis Ideal Markov basis Markov chain Monte Carlo Structural zero 2017 2017-02-08 To evaluate the goodness-of-fit of a statistical model to given data, calculating a conditional p value by a Markov chain Monte Carlo method is one of the effective approaches. For this purpose, a Markov basis plays an important role because it guarantees the connectivity of the chain, which is needed for unbiasedness of the estimation, and therefore is investigated in various settings such as incomplete tables or subtable sum constraints. In this paper, we consider the two-way change-point model for the ladder determinantal table, which is an extension of these two previous works, i.e., works on incomplete tables by Aoki and Takemura (2005, J. Stat. Comput. Simulat.) and subtable some constraints by Hara, Takemura and Yoshida (2010, J. Pure Appl. Algebra). Our main result is based on the theory of Gr ?obner basis for the distributive lattice. We give a numerical example for actual data. Article

born digital application/pdf en https://doi.org/10.18409/jas.v8i1.55 8.1 Open Access eng http://hdl.handle.net/10560/islandora:1007802