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Activity Number: 228
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 8:30 AM to 10:20 AM
Sponsor: SSC
Abstract - #307928
Title: Improved Likelihood Inference for Vector Parameters with Discrete Data
Author(s): Nicola Sartori*+
Companies: University of Venice
Address: San Giobbe, Cannaregio 873, Venezia, 30121, Italy
Keywords: Contingency table ; Discrete data ; Likelihood asymptotics ; P-value ; Vector parameter
Abstract:

We consider the testing of compound hypotheses or vector component parameters in contingency tables and other discrete data models. In general models, asymptotic inference from the observed likelihood provides just first order accuracy. For the discrete data case Davison, Fraser and Reid (JRSSB, 2006) develop second order methods for assessing a scalar component parameter, which makes use of a data based reparameterization of exponential type. We extend this approach to obtain second order p-values for the assessment of compound or vector hypotheses. This makes use of marginal likelihoods and directional departure measures. The approach is illustrated on examples.


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Revised September, 2007