2005
DOI: 10.1007/s10260-005-0121-y
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Bayesian inference for categorical data analysis

Abstract: This article surveys Bayesian methods for categorical data analysis, with primary emphasis on contingency table analysis. Early innovations were proposed by Good (1953Good ( , 1956Good ( , 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 (1969Altham ( , 1971 presented Bayesian analogs of small-sample frequentist tests for 2×2 tables using such priors. An alternative approach us… Show more

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Cited by 133 publications
(98 citation statements)
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References 244 publications
(207 reference statements)
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“…Where significant changes were evident, standardized residuals for each time period were examined, with scores of greater than or equal to ±1.96 indicating cells with significant variation from expected. 54 For such analyses, study type was reduced to measures/descriptive and intervention research. Two variables were created for study population: "severe" only versus all other categories; and >1 category versus 1 category only.…”
Section: Discussionmentioning
confidence: 99%
“…Where significant changes were evident, standardized residuals for each time period were examined, with scores of greater than or equal to ±1.96 indicating cells with significant variation from expected. 54 For such analyses, study type was reduced to measures/descriptive and intervention research. Two variables were created for study population: "severe" only versus all other categories; and >1 category versus 1 category only.…”
Section: Discussionmentioning
confidence: 99%
“…As a first step, for most of the scores computed in the following sections probabilities have to be estimated from the ensemble. We estimate the event probability p(y i ) using a beta-binominal model with a flat beta prior (Agresti and Hitchcock, 2005) which leads to…”
Section: Probabilistic Performancementioning
confidence: 99%
“…Details and further information on the Bradley-Terry model can be found in Agresti (2002). A simple iterative algorithm for finding the maximum likelihood estimate, π i j , has been known for a long time, see Zermelo (1929 Agresti and Hitchcock (2005). In fact, there are known conditions that ensure whether or not the algorithms to find π i j converge, see Ford (1957) and Hunter (2004).…”
Section: Bradley-terry Modelmentioning
confidence: 99%