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Activity Number:
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67
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Type:
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Contributed
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Date/Time:
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Sunday, August 2, 2009 : 4:00 PM to 5:50 PM
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Sponsor:
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International Chinese Statistical Association
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| Abstract - #304071 |
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Title:
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The Information in One Prior Relative to Another
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Author(s):
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Gun Ho Jang*+ and Michael Evans
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Companies:
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University of Toronto and University of Toronto
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Address:
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100 St. George St., Toronto, ON, M5S3G3, Canada
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Keywords:
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Weakly informative prior ; prior-data conflict ; invariant P-value
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Abstract:
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A question of some interest is how to characterize the amount of information that a prior puts into a statistical analysis. Rather than a general characterization of this quantity, we provide an approach to characterizing the amount of information a prior puts into an analysis, when compared to another base prior. The base prior is considered to be the prior that best reflects the current available information. Our purpose then, is to characterize priors that can be used as conservative inputs to an analysis, relative to the base prior, in the sense that they put less information into the analysis. The characterization that we provide is in terms of a priori measures of prior-data conflict. The motivation for this work arises from practical issues of data analysis as described in Gelman (2006) and Gelman et. al. (2008).
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