Markov bases for two-way change-point models of ladder determinantal tables Conditional test Contingency table Distributive lattice Gröbner basis Ideal Markov basis Markov chain Monte Carlo Structural zero 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. Aoki, Satoshi Hibi, Takayuki 2017 2017-02-08 Article application/pdf islandora:1007802 http://hdl.handle.net/10560/islandora:1007802 MATH / Applied Mathematics Illinois Institute of Technology Journal of Algebraic Statistics en Open Access