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Bayesian Econometrics Workshop — Abstracts
John Geweke, University of Iowa,
USA
Complete and Incomplete Models: A Bayesian alternative to pure significance
testing when the model space is unknown
In the process of model formulation, specification and modification, non-Bayesians
routinely employ pure significance tests. This talk, based on Geweke (2007)
and subsequent work in progress, builds on three facts. (1) Bayesians correctly
criticize pure significance testing. (2) Econometricians (including some
sympathetic to Bayesian methods) continue to employ these tests. (3) Rational
individuals, including at least some of the investigators in point (2), in
fact behave as Bayesians. The resolution of these three observations is that
when pure significance tests are conducted wisely – that is, with due
consideration of power – investigators have in mind alternative models
that are incomplete, having not yet been fully specified. The talk shows
how to construct Bayes factors between complete models (those typically subject
to pure significance tests) and incomplete models. The result is a procedure
that accomplishes the objectives that pure significance tests try to achieve,
but is wholly Bayesian. The talk illustrates these ideas in some detail with
a specific example from the econometric asset return modeling literature.
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