Bayesian inference for categorical data analysis

@article{Agresti2005BayesianIF,
  title={Bayesian inference for categorical data analysis},
  author={Alan Agresti and David B. Hitchcock},
  journal={Statistical Methods and Applications},
  year={2005},
  volume={14},
  pages={297-330}
}
Abstract.This article surveys Bayesian methods for categorical data analysis, with primary emphasis on contingency table analysis. Early innovations were proposed by Good (1953, 1956, 1965) for smoothing proportions in contingency tables and by Lindley (1964) for inference about odds ratios. These approaches primarily used conjugate beta and Dirichlet priors. Altham (1969, 1971) presented Bayesian analogs of small-sample frequentist tests for 2 x 2 tables using such priors. An alternative… 

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