IDEAS home Printed from https://ideas.repec.org/a/bpj/jecome/v2y2013i1p69-87n4.html
   My bibliography  Save this article

A Control Function Approach to Estimating Dynamic Probit Models with Endogenous Regressorsa

Author

Listed:
  • Giles John

    (Development Research Group, The World Bank)

  • Murtazashvili Irina

    (Department of Economics and International Business, LeBow College of Business, Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104, USA)

Abstract

This paper proposes a parametric approach to estimating a dynamic binary response panel data model that allows for endogenous contemporaneous regressors. Such a model is of particular value for settings in which one wants to estimate the effects of an endogenous treatment on a binary outcome. In order to demonstrate the usefulness of the approach, we use it to examine the impact of rural-urban migration on the likelihood that households in rural China fall below the poverty line. In this application, it is shown that migration is important for reducing the likelihood that poor households remain in poverty and that non-poor households fall into poverty. Furthermore, it is demonstrated that failure to control for unobserved heterogeneity would lead the researcher to underestimate the impact of migrant labor markets on reducing the probability of falling into poverty.

Suggested Citation

  • Giles John & Murtazashvili Irina, 2013. "A Control Function Approach to Estimating Dynamic Probit Models with Endogenous Regressorsa," Journal of Econometric Methods, De Gruyter, vol. 2(1), pages 69-87, July.
  • Handle: RePEc:bpj:jecome:v:2:y:2013:i:1:p:69-87:n:4
    DOI: 10.1515/jem-2012-0010
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/jem-2012-0010
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.1515/jem-2012-0010?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Taylor, J Edward & Rozelle, Scott & de Brauw, Alan, 2003. "Migration and Incomes in Source Communities: A New Economics of Migration Perspective from China," Economic Development and Cultural Change, University of Chicago Press, vol. 52(1), pages 75-101, October.
    2. Montgomery, James D, 1991. "Social Networks and Labor-Market Outcomes: Toward an Economic Analysis," American Economic Review, American Economic Association, vol. 81(5), pages 1407-1418, December.
    3. Wooldridge, Jeffrey M., 2000. "A framework for estimating dynamic, unobserved effects panel data models with possible feedback to future explanatory variables," Economics Letters, Elsevier, vol. 68(3), pages 245-250, September.
    4. Alan de Brauw & John Giles, 2018. "Migrant Labor Markets and the Welfare of Rural Households in the Developing World: Evidence from China," The World Bank Economic Review, World Bank, vol. 32(1), pages 1-18.
    5. Heckman, James J & Willis, Robert J, 1977. "A Beta-logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 27-58, February.
    6. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54, January.
    7. Martin Biewen, 2009. "Measuring state dependence in individual poverty histories when there is feedback to employment status and household composition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1095-1116, November.
    8. Giles, John, 2006. "Is life more risky in the open? Household risk-coping and the opening of China's labor markets," Journal of Development Economics, Elsevier, vol. 81(1), pages 25-60, October.
    9. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    10. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    11. Francesco Devicienti & Ambra Poggi, 2011. "Poverty and social exclusion: two sides of the same coin or dynamically interrelated processes?," Applied Economics, Taylor & Francis Journals, vol. 43(25), pages 3549-3571.
    12. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    13. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    14. John Giles & Kyeongwon Yoo, 2007. "Precautionary Behavior, Migrant Networks, and Household Consumption Decisions: An Empirical Analysis Using Household Panel Data from Rural China," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 534-551, August.
    15. Dean R. Hyslop, 1999. "State Dependence, Serial Correlation and Heterogeneity in Intertemporal Labor Force Participation of Married Women," Econometrica, Econometric Society, vol. 67(6), pages 1255-1294, November.
    16. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    17. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54, January.
    18. Chen, Shaohua & Ravallion, Martin, 1996. "Data in transition: Assessing rural living standards in Southern China," China Economic Review, Elsevier, vol. 7(1), pages 23-56.
    19. Alan de Brauw & John Giles, 2017. "Migrant Opportunity and the Educational Attainment of Youth in Rural China," Journal of Human Resources, University of Wisconsin Press, vol. 52(1), pages 272-311.
    20. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
    21. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    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. Cobo-Reyes, Ramón & Katz, Gabriel & Meraglia, Simone, 2019. "Endogenous sanctioning institutions and migration patterns: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 575-606.
    2. Richard Bluhm & Martin Gassebner & Sarah Langlotz & Paul Schaudt, 2021. "Fueling conflict? (De)escalation and bilateral aid," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(2), pages 244-261, March.
    3. Lu, Cuicui & Parsley, David & Xue, Bing, 2024. "Economic policy uncertainty and voluntary disclosures:How do Chinese firms respond?," International Review of Economics & Finance, Elsevier, vol. 92(C), pages 141-167.
    4. Alla Koblyakova & Larisa Fleishman & Orly Furman, 2022. "Accuracy of Households’ Dwelling Valuations, Housing Demand and Mortgage Decisions: Israeli Case," The Journal of Real Estate Finance and Economics, Springer, vol. 65(1), pages 48-74, July.
    5. Kajal Lahiri & Liu Yang, 2021. "Estimating Endogenous Ordered Response Panel Data Models with an Application to Income Gradient in Child Health," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 207-243, November.
    6. Đặng, Rey & Houanti, L’Hocine & Reddy, Krishna & Simioni, Michel, 2020. "Does board gender diversity influence firm profitability? A control function approach," Economic Modelling, Elsevier, vol. 90(C), pages 168-181.
    7. Rickert, Dennis, 2016. "Consumer state dependence, switching costs, and forward-looking producers. A dynamic discrete choice model applied to the diaper market," VfS Annual Conference 2016 (Augsburg): Demographic Change 145672, Verein für Socialpolitik / German Economic Association.
    8. Ming Liu & Sumner la Croix, 2013. "A Cross-Country Index of Intellectual Property Rights in Pharmaceutical Innovations," Working Papers 201313, University of Hawaii at Manoa, Department of Economics.
    9. Ming Liu & Sumner LaCroix, 2011. "The Impact of Stronger Property Rights in Pharmaceuticals on Innovation in Developed and Developing Countries," Working Papers 201116, University of Hawaii at Manoa, Department of Economics.
    10. Josephson, Anna Leigh & Michler, Jeffrey D., 2015. "To Specialize or Diversify: Agricultural Diversity and Poverty Persistence in Ethiopia," 2015 Conference, August 9-14, 2015, Milan, Italy 212459, International Association of Agricultural Economists.
    11. Tsekouras, Kostas & Chatzistamoulou, Nikos & Kounetas, Kostas, 2017. "Productive performance, technology heterogeneity and hierarchies: Who to compare with whom," International Journal of Production Economics, Elsevier, vol. 193(C), pages 465-478.
    12. Varun Kumar Das, 2018. "Looking Beyond the Farm and Household: Determinants of On-farm Diversification in India," Working Papers id:12945, eSocialSciences.
    13. Lugo, Maria Ana & Raiser, Martin & Yemtsov, Ruslan, 2022. "China's economic transformation and poverty reduction over the years: An overview," KCG Policy Papers 8, Kiel Centre for Globalization (KCG).
    14. Ann M. Furbush & Anna Josephson & Talip Kilic & Jeffrey D. Michler, 2024. "Coping or Hoping? Livelihood Diversification and Food Insecurity in the COVID-19 Pandemic," Papers 2409.02285, arXiv.org.
    15. Varun Kumar Das, 2018. "Looking beyond the farm and household: Determinants of on-farm diversification in India," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2018-023, Indira Gandhi Institute of Development Research, Mumbai, India.
    16. Thomas Slijper & Yann de Mey & P Marijn Poortvliet & Miranda P M Meuwissen, 2022. "Quantifying the resilience of European farms using FADN," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 49(1), pages 121-150.
    17. Michler, Jeffrey D. & Josephson, Anna L., 2017. "To Specialize or Diversify: Agricultural Diversity and Poverty Dynamics in Ethiopia," World Development, Elsevier, vol. 89(C), pages 214-226.
    18. Hung Quang Doan & Nam Hoang Vu & Binh Tran-Nam & Ngoc-Anh Nguyen, 2022. "Effects of tax administration corruption on innovation inputs and outputs: evidence from small and medium sized enterprises in Vietnam," Empirical Economics, Springer, vol. 62(4), pages 1773-1800, April.

    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. Giles, John & Murtazashvili, Irina, 2010. "A control function approach to estimating dynamic probit models with endogenous regressors, with an application to the study of poverty persistence in China," Policy Research Working Paper Series 5400, The World Bank.
    2. repec:hal:spmain:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    3. Francesco Bartolucci & Claudia Pigini, 2017. "Granger causality in dynamic binary short panel data models," Working Papers 421, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    4. Geert Dhaene & Koen Jochmans, 2015. "Split-panel Jackknife Estimation of Fixed-effect Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 991-1030.
    5. repec:spo:wpmain:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    6. repec:spo:wpecon:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    7. repec:hal:wpspec:info:hdl:2441/f6h8764enu2lskk9p2m9mgp8l is not listed on IDEAS
    8. Shiu, Ji-Liang & Hu, Yingyao, 2013. "Identification and estimation of nonlinear dynamic panel data models with unobserved covariates," Journal of Econometrics, Elsevier, vol. 175(2), pages 116-131.
    9. Manudeep Bhuller & Christian N. Brinch & Sebastian Königs, 2017. "Time Aggregation and State Dependence in Welfare Receipt," Economic Journal, Royal Economic Society, vol. 127(604), pages 1833-1873, September.
    10. Alan de Brauw & John Giles, 2018. "Migrant Labor Markets and the Welfare of Rural Households in the Developing World: Evidence from China," The World Bank Economic Review, World Bank, vol. 32(1), pages 1-18.
    11. Fernández-Val, Iván & Vella, Francis, 2011. "Bias corrections for two-step fixed effects panel data estimators," Journal of Econometrics, Elsevier, vol. 163(2), pages 144-162, August.
    12. Lucchetti, Riccardo & Pigini, Claudia, 2017. "DPB: Dynamic Panel Binary Data Models in gretl," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 79(i08).
    13. Pierre-Carl Michaud & Konstantinos Tatsiramos, 2005. "Employment Dynamics of Married Women in Europe," Working Papers WR-273, RAND Corporation.
    14. Francesco Bartolucci & Claudia Pigini & Francesco Valentini, 2023. "Conditional inference and bias reduction for partial effects estimation of fixed-effects logit models," Empirical Economics, Springer, vol. 64(5), pages 2257-2290, May.
    15. Pigini, Claudia & Bartolucci, Francesco, 2022. "Conditional inference for binary panel data models with predetermined covariates," Econometrics and Statistics, Elsevier, vol. 23(C), pages 83-104.
    16. Pigini, Claudia & Presbitero, Andrea F. & Zazzaro, Alberto, 2016. "State dependence in access to credit," Journal of Financial Stability, Elsevier, vol. 27(C), pages 17-34.
    17. Garbero, A. & Marion, P., 2018. "IFAD RESEARCH SERIES 28 - Understanding the dynamics of adoption decisions and their poverty impacts: the case of improved maize seeds in Uganda," IFAD Research Series 280077, International Fund for Agricultural Development (IFAD).
    18. Michaud, Pierre-Carl & Tatsiramos, Konstantinos, 2005. "Employment Dynamics of Married Women in Europe," IZA Discussion Papers 1706, Institute for the Study of Labor (IZA).
    19. Alan de Brauw & John Giles, 2017. "Migrant Opportunity and the Educational Attainment of Youth in Rural China," Journal of Human Resources, University of Wisconsin Press, vol. 52(1), pages 272-311.
    20. Sara Ayllón, 2015. "Youth Poverty, Employment, and Leaving the Parental Home in Europe," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(4), pages 651-676, December.
    21. Pierre‐Carl Michaud & Konstantinos Tatsiramos, 2011. "Fertility and female employment dynamics in Europe: the effect of using alternative econometric modeling assumptions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(4), pages 641-668, June.
    22. repec:dau:papers:123456789/10594 is not listed on IDEAS
    23. Peter Haan, 2005. "State Dependence and Female Labor Supply in Germany: The Extensive and the Intensive Margin," Discussion Papers of DIW Berlin 538, DIW Berlin, German Institute for Economic Research.
    24. Sara Ayllón Gatnau, 2009. "Modelling state dependence and feedback effects between poverty, employment and parental home emancipation among European youth," Economics Working Papers 1180, Department of Economics and Business, Universitat Pompeu Fabra.
    25. Hajivassiliou, Vassilis, 2019. "Estimation and specification testing of panel data models with non-ignorable persistent heterogeneity, contemporaneous and intertemporal simultaneity and observable and unobservable dynamics," LSE Research Online Documents on Economics 102843, London School of Economics and Political Science, LSE Library.

    More about this item

    Keywords

    control function approach; dynamic binary response models; migration; poverty-persistence; rural China; JEL codes: C13; C33; O15; P25;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration
    • P25 - Political Economy and Comparative Economic Systems - - Socialist and Transition Economies - - - Urban, Rural, and Regional Economics

    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:jecome:v:2:y:2013:i:1:p:69-87:n:4. 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.