IDEAS home Printed from https://ideas.repec.org/a/bpj/sndecm/v10y2006i4n7.html
   My bibliography  Save this article

Bayesian Analysis of Structural Effects in an Ordered Equation System

Author

Listed:
  • Li Mingliang

    (State University of New York at Buffalo)

  • Tobias Justin L

    (Iowa State University)

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 (relative to the standard Gibbs sampler) 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.

Suggested Citation

  • Li Mingliang & Tobias Justin L, 2006. "Bayesian Analysis of Structural Effects in an Ordered Equation System," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(4), pages 1-24, December.
    • Handle: RePEc:bpj:sndecm:v:10:y:2006:i:4:n:7
    DOI: 10.2202/1558-3708.1363
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1558-3708.1363
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1558-3708.1363?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kai Li & Dale J. Poirier, 2003. "Bayesian analysis of an econometric model of birth inputs and outputs," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(3), pages 597-625, August.
    2. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
    3. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    4. Dale J. Poirier, 1995. "Intermediate Statistics and Econometrics: A Comparative Approach," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161494, April.
    5. 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.
    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.
    7. 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.
    8. 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 450-477, June.
    9. Ashenfelter, Orley & Krueger, Alan B, 1994. "Estimates of the Economic Returns to Schooling from a New Sample of Twins," American Economic Review, American Economic Association, vol. 84(5), pages 1157-1173, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiong, Yingge & Tobias, Justin L. & Mannering, Fred L., 2014. "The analysis of vehicle crash injury-severity data: A Markov switching approach with road-segment heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 109-128.
    2. Rong Zhang & Brett A. Inder & Xibin Zhang, 2012. "Parameter estimation for a discrete-response model with double rules of sample selection: A Bayesian approach," Monash Econometrics and Business Statistics Working Papers 5/12, Monash University, Department of Econometrics and Business Statistics.
    3. Mingliang Li & Justin L. Tobias, 2006. "Calculus attainment and grades received in intermediate economic theory," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 893-896, September.
    4. Anastasios Panagiotelis & Michael S. Smith & Peter J. Danaher, 2014. "From Amazon to Apple: Modeling Online Retail Sales, Purchase Incidence, and Visit Behavior," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(1), pages 14-29, January.
    5. William Griffiths & Xiaohui Zhang & Xueyan Zhao, 2010. "A Stochastic Frontier Model for Discrete Ordinal Outcomes: A Health Production Function," Department of Economics - Working Papers Series 1092, The University of Melbourne.
    6. Zhang, Xiaohui & Zhao, Xueyan & Harris, Anthony, 2009. "Chronic diseases and labour force participation in Australia," Journal of Health Economics, Elsevier, vol. 28(1), pages 91-108, January.
    7. William Griffiths & Xiaohui Zhang & Xueyan Zhao, 2014. "Estimation and efficiency measurement in stochastic production frontiers with ordinal outcomes," Journal of Productivity Analysis, Springer, vol. 42(1), pages 67-84, August.
    8. Zhang, Rong & Inder, Brett A. & Zhang, Xibin, 2015. "Bayesian estimation of a discrete response model with double rules of sample selection," Computational Statistics & Data Analysis, Elsevier, vol. 86(C), pages 81-96.
    9. Rong Zhang & Brett A. Inder & Xibin Zhang, 2013. "Bayesian estimation of a discrete response model with double rules of sample selection," Monash Econometrics and Business Statistics Working Papers 24/13, Monash University, Department of Econometrics and Business Statistics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Balestra, Simone & Backes-Gellner, Uschi, 2017. "Heterogeneous returns to education over the wage distribution: Who profits the most?," Labour Economics, Elsevier, vol. 44(C), pages 89-105.
    2. Mustafa Özer & Jan Fidrmuc & Mehmet Ali Eryurt, 2018. "Maternal education and childhood immunization in Turkey," Health Economics, John Wiley & Sons, Ltd., vol. 27(8), pages 1218-1229, August.
    3. Lauber, Verena & Thomas, Lampert, 2014. "The Effect of Early Universal Daycare on Child Weight Problems," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100399, Verein für Socialpolitik / German Economic Association.
    4. Schultz, T. Paul, 2010. "Population and Health Policies," Handbook of Development Economics, in: Dani Rodrik & Mark Rosenzweig (ed.), Handbook of Development Economics, edition 1, volume 5, chapter 0, pages 4785-4881, Elsevier.
    5. Belzil, Christian & Hansen, Jorgen, 2007. "A structural analysis of the correlated random coefficient wage regression model," Journal of Econometrics, Elsevier, vol. 140(2), pages 827-848, October.
    6. Guilhem Bascle, 2008. "Controlling for endogeneity with instrumental variables in strategic management research," Post-Print hal-00576795, HAL.
    7. Christian Belzil, 2008. "Testing the Specification of the Mincer Wage Equation," Annals of Economics and Statistics, GENES, issue 91-92, pages 427-451.
    8. Del Bono, Emilia & Galindo-Rueda, Fernando, 2006. "The long term impacts of compulsory schooling: evidence from a natural experiment in school leaving dates," ISER Working Paper Series 2006-44, Institute for Social and Economic Research.
    9. Greenstone, Michael & Gayer, Ted, 2009. "Quasi-experimental and experimental approaches to environmental economics," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 21-44, January.
    10. Daniel A. Kamhöfer & Hendrik Schmitz, 2013. "Analyzing Zero Returns to Education in Germany – Heterogeneous Eff ects and Skill Formation," Ruhr Economic Papers 0446, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    11. Manuel Denzer, 2019. "Estimating Causal Effects in Binary Response Models with Binary Endogenous Explanatory Variables - A Comparison of Possible Estimators," Working Papers 1916, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    12. Shin-Yi Chou & Jin-Tan Liu & James Hammitt, 2006. "Households’ precautionary behaviors—the effects of the introduction of National Health Insurance in Taiwan," Review of Economics of the Household, Springer, vol. 4(4), pages 395-421, December.
    13. Fortin, Bernard & Ragued, Safa, 2017. "Does temporary interruption in postsecondary education induce a wage penalty? Evidence from Canada," Economics of Education Review, Elsevier, vol. 58(C), pages 108-122.
    14. Daniel A. Kamhöfer & Hendrik Schmitz, 2013. "Analyzing Zero Returns to Education in Germany: Heterogeneous Effects and Skill Formation," SOEPpapers on Multidisciplinary Panel Data Research 598, DIW Berlin, The German Socio-Economic Panel (SOEP).
    15. Belzil, Christian, 2007. "The return to schooling in structural dynamic models: a survey," European Economic Review, Elsevier, vol. 51(5), pages 1059-1105, July.
    16. Klein, Roger & Vella, Francis, 2006. "Estimating the Return to Endogenous Schooling Decisions for Australian Workers via Conditional Second Moments," IZA Discussion Papers 2407, Institute of Labor Economics (IZA).
    17. Jürges, Hendrik & Reinhold, Steffen & Salm, Martin, 2011. "Does schooling affect health behavior? Evidence from the educational expansion in Western Germany," Economics of Education Review, Elsevier, vol. 30(5), pages 862-872, October.
    18. Joshua D. Angrist & Alan B. Krueger, 2001. "Instrumental Variables and the Search for Identification: From Supply and Demand to Natural Experiments," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 69-85, Fall.
    19. Angel de la Fuente & Antonio Ciccone, 2003. "Human capital in a global and knowledge-based economy," UFAE and IAE Working Papers 562.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    20. Riccardo Crescenzi & Luisa Gagliardi & Enrico Orru', 2016. "Learning mobility grants and skill (mis)matching in the labour market: The case of the ‘Master and Back’ Programme," Papers in Regional Science, Wiley Blackwell, vol. 95(4), pages 693-707, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:sndecm:v:10:y:2006:i:4:n:7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.