Abstract
Concerning the problem of estimating structural parameters and smoothing cells in complex contingency tables, we delineate a non standard approach - the ”Constrained Fixed Point” - which is pseudo-Bayes (Agresti, 1990, pp. 466) and shares some basic ideas with the Prior Feedback Setup (Casella & Robert, 2002). Applied to a reference data set, it elicits a data-dependent prior which is structured according to the order-restricted log multiplicative model. It might be a practicable alternative to the full maximum likelihood (Ritov & Gilula, 1991) and intensive inferential tools as Gibbs sampling (Brink and Smith, 1996).
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D'Epifanio, G. (2005). Data Dependent Prior Modeling and Estimation in Contingency Tables: The Order-Restricted RC Model. In: Bock, HH., et al. New Developments in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27373-5_15
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DOI: https://doi.org/10.1007/3-540-27373-5_15
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