Abstract
In this chapter we introduce basic material on exact tests of discrete exponential family models, in contrast to the more traditional large-sample tests. As a primary example we use the independence model of two-way contingency tables. As a more complicated example, we also discuss the conditional independence model of three-way contingency tables. Finally we introduce a general notation for multi-way contingency tables and hierarchical models for multi-way contingency tables.
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Aoki, S., Hara, H., Takemura, A. (2012). Exact Tests for Contingency Tables and Discrete Exponential Families. 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_1
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DOI: https://doi.org/10.1007/978-1-4614-3719-2_1
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