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Bayesian Analysis of Structural Effects in an Ordered Equation System

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Author Info
Li, Mingliang
Tobias, Justin

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Abstract

We describe a new simulation-based algorithm for Bayesian estimation of structural effects in models where the outcome of interest and an endogenous treatment variable are ordered. Our algorithm makes use of a reparameterization, suggested by Nandram and Chen (1996) in the context of a single equation ordered-probit model, which significantly improves the mixing of the standard Gibbs sampler. We illustrate the improvements afforded by this new algorithm in a generated data experiment and also make use of our methods in an empirical application. Specifically, we take data from the National Longitudinal Survey of Youth (NLSY) and investigate the impact of maternal alcohol consumption on early infant health. Our results show clear evidence that the health outcomes of infants whose mothers drink while pregnant are worse than the outcomes of infants whose mothers never consumed alcohol while pregnant. In addition, the estimated parameters clearly suggest the need to control for the endogeneity of maternal alcohol consumption.

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Publisher Info
Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12247.

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Date of creation: 08 Feb 2005
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Publication status: Published in Studies in Nonlinear Dynamics and Econometrics, 2006.
Handle: RePEc:isu:genres:12247

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
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  1. Alan Krueger & Orley Ashenfelter, 1992. "Estimates of the Economic Return to Schooling from a New Sample of Twins," NBER Working Papers 4143, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Li, Mingliang & Tobias, Justin, 2005. "Calculus Attainment and Grades Received in Intermediate Economic Theory," Staff General Research Papers 12292, Iowa State University, Department of Economics.
  3. Munkin, Murat K. & Trivedi, Pravin K., 2003. "Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: an application to the demand for healthcare," Journal of Econometrics, Elsevier, vol. 114(2), pages 197-220, June. [Downloadable!] (restricted)
  4. Angrist, Joshua D & Evans, William N, 1998. "Children and Their Parents' Labor Supply: Evidence from Exogenous Variation in Family Size," American Economic Review, American Economic Association, vol. 88(3), pages 450-77, June. [Downloadable!] (restricted)
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  5. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-75, March. [Downloadable!] (restricted)
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  6. Card, David, 1999. "The causal effect of education on earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 30, pages 1801-1863 Elsevier. [Downloadable!] (restricted)
  7. Kai Li & Dale J. Poirier, 2003. "Bayesian analysis of an econometric model of birth inputs and outputs," Journal of Population Economics, Springer, vol. 16(3), pages 597-625, 08. [Downloadable!] (restricted)
  8. Li, Kai & Poirier, Dale J., 2003. "An econometric model of birth inputs and outputs for Native Americans," Journal of Econometrics, Elsevier, vol. 113(2), pages 337-361, April. [Downloadable!] (restricted)
  9. Douglas Staiger & James H. Stock, 1994. "Instrumental Variables Regression with Weak Instruments," NBER Technical Working Papers 0151, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  1. Klaus Moeltner & James J. Murphy & John K. Stranlund & Maria Alejandra Velez, 2007. "Hierarchical Parametric Models for Social Dilemma Games," Working Papers 07-013, University of Nevada, Reno, Department of Economics & University of Nevada, Reno , Department of Resource Economics. [Downloadable!]
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