Activity Number:
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102
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Type:
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Invited
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Date/Time:
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Monday, August 1, 2016 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Bayesian Statistical Science
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Abstract #318428
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View Presentation
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Title:
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Nonparametric Regression with Instrumental Variables
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Author(s):
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Purushottam Laud* and Robert McCulloch and Rodney Sparapani
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Companies:
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Medical College of Wisconsin and The University of Chicago and Medical College of Wisconsin
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Keywords:
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endogeneity ;
non-linearity ;
Gibbs conditionals
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Abstract:
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Regression models with instrumental variables are used widely in econometrics and in biomedical applications. Typically, a linear or additive model formulation is used with joint nonparametric errors. We employ Bayesian additive regression trees and a limited additivity assumption to allow much more flexible relationships that include interactions and non-linearities. After a full model description we address how Gibbs conditionals can be obtained for sampling the posterior. We illustrate the method with some well-known examples in the literature.
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Authors who are presenting talks have a * after their name.