Abstract
In Sect. 5.4 we showed that the set of square-free moves of degree 2 forms the unique minimal Markov basis for two-way complete independence models. In this chapter we discuss Markov bases for two other models for two-way tables. We call square-free moves of degree 2 basic moves in this chapter. In Sect. 10.1 we provide the unique minimal Markov bases for quasi-independence models in two-way tables with structural zeros. In Sect. 10.2 we deal with the models such that two-way interactions exist only in subtables and discuss Markov bases for such models. For both models the set of basic moves is not always a Markov basis.
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Aoki, S., Hara, H., Takemura, A. (2012). Two-Way Tables with Structural Zeros and Fixed Subtable Sums. In: Markov Bases in Algebraic Statistics. Springer Series in Statistics, vol 199. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3719-2_10
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DOI: https://doi.org/10.1007/978-1-4614-3719-2_10
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