Specification of Hyper-Parameters for Normal Prior Distributions Induced on Log-Linear Parameters

Year 2006, Volume: 35 Issue: 1, 91 - 102, 01.01.2006

H. Demirhan C. Hamurkaroglu

Keywords

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References

• Chen, Z. and Dunson, D. B. Random effects selection in linear mixed models, Biometrics 59, 762–769, 2003.
• Dellaportas, P. and Forster, J. J. Markov chain Monte Carlo model determination for hier- archical and graphical log-linear models, Biometrika 86, 615–633, 1999.
• Demirhan, H. Bayesian Estimation of The Parameters and Expected Cell Counts in Loga- rithmic Linear Models (Unpublished M.Sc. thesis, Hacettepe University, Institute of Natural Sciences, Ankara, 2004).
• Gelman, A. Prior distributions for variance parameters in hierarchical models, www. stat. columbia.edu/ gelman/ research/ unpublished/tau5.pdf, Visit date: February 2004.
• Geweke, J. Evaluating the accuracy of sampling-based approaches to the calculation of pos- terior moments (with discussion), Bayesian Statistics 4, 169–193, Oxford University Press, Oxford, 1992.
• King, R. and Brooks, S. P. Prior induction in log-linear models for general contingency table analysis, The Annals of Statistics 29 (3), 715–747, 2001.
• King, R. and Brooks, S. P. On the analysis of population size, Biometrika 88 (2), 317–336, 2001.
• Knuiman, M. W. and Speed, T. P. Incorporating prior information into the analysis of con- tingency tables, Biometrics 44, 1061–1071, 1988.
• Leighty, R. M. and Johnson, W.J. A Bayesian log-linear model analysis of categorical data, Journal of Official Statistics 6 (2), 133–155, 1990.
• Lenonard, T. Bayesian estimation methods for two-way contingency tables, Journal of Royal Statistical Society, Ser. B 37, 23–37, 1975.
• Nazaret, W. Bayesian log-linear estimates for three-way contingency tables, Biometrika 74, 401–410, 1987.