JSM 2005 - Toronto

Abstract #304334

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 101
Type: Contributed
Date/Time: Monday, August 8, 2005 : 8:30 AM to 10:20 AM
Sponsor: Business and Economics Statistics Section
Abstract - #304334
Title: Bayesian Model Averaging with Instrumental Variables: An Application to Aid and Growth
Author(s): Roberto Leon Gonzalez*+ and Daniel Montolio and Paul Mosley
Companies: University of Leicester and Universitat de Barcelona and University of Sheffield
Address: University Road, Leicester, LE1 7RH, United Kingdom
Keywords: Bayesian Model Averaging ; Instrumental Variables ; Empirics of Growth ; Effectiveness of Aid
Abstract:

This paper provides a Bayesian analysis of instrumental variable models robust to (1) the set of instruments, (2) the set of explanatory variables in the model, and (3) the allocation of explanatory variables between endogenous and exogenous. In addition, the analysis has the appealing property of reporting a probability that the parameters are overidentified. Furthermore, this probability is robust to issues (1) to (3). Similarly, a robust probability for a regressor being exogenous is obtained. Building on previous studies, the analysis uses a Bayesian Model Averaging (BMA) approach with posterior model probabilities that are robust to local nonidentification. In addition, this paper uses posterior model probabilities that are implied by a Reference prior density on the parameters of an all-encompassing model. This avoids the difficult problem of specifying prior densities and prior model probabilities for nested models. This methodology is illustrated in an empirical application that aims to provide estimates of the effect of aid on economic growth that take into account model uncertainty.


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Revised March 2005