IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2408.02573.html

Testing identifying assumptions in Tobit Models

Author

Listed:
  • Santiago Acerenza
  • Ot'avio Bartalotti
  • Federico Veneri

Abstract

We develop sharp, testable implications for the identifying assumptions of Tobit and IV-Tobit models: linear index, (joint) normality of errors, treatment (instrument) exogeneity, and relevance. The new sharp testable equalities can detect all possible observable violations of the identifying conditions. The proposed test procedure for the model's validity uses existing inference methods for intersection bounds. Simulations suggest adequate test size and power in detecting exogeneity and error structure violations. We review and propose alternatives to partially identify the parameters of interest under less restrictive assumptions. We revisit a study of married women's labor supply in Lee (1995) to demonstrate the test's practical implementation.

Suggested Citation

  • Santiago Acerenza & Ot'avio Bartalotti & Federico Veneri, 2024. "Testing identifying assumptions in Tobit Models," Papers 2408.02573, arXiv.org, revised Dec 2025.
    • Handle: RePEc:arx:papers:2408.02573
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2408.02573
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. David M. Drukker, 2002. "Bootstrapping a conditional moments test for normality after tobit estimation," Stata Journal, StataCorp LLC, vol. 2(2), pages 125-139, May.
    2. Yoichi Arai & Yu‐Chin Hsu & Toru Kitagawa & Ismael Mourifié & Yuanyuan Wan, 2022. "Testing identifying assumptions in fuzzy regression discontinuity designs," Quantitative Economics, Econometric Society, vol. 13(1), pages 1-28, January.
    3. Han, Sukjin & Vytlacil, Edward J., 2017. "Identification in a generalization of bivariate probit models with dummy endogenous regressors," Journal of Econometrics, Elsevier, vol. 199(1), pages 63-73.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    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. Santiago Acerenza & Otávio Bartalotti & Désiré Kédagni, 2023. "Testing identifying assumptions in bivariate probit models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(3), pages 407-422, April.
    2. Insik Min & Jong‐Ho Kim, 2003. "Modeling Credit Card Borrowing: A Comparison of Type I and Type II Tobit Approaches," Southern Economic Journal, John Wiley & Sons, vol. 70(1), pages 128-143, July.
    3. Sourafel Girma & Yundan Gong & Holger Görg & Zhihong Yu, 2009. "Can Production Subsidies Explain China's Export Performance? Evidence from Firm‐level Data," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(4), pages 863-891, December.
    4. Liverpool-Tasie, Lenis Saweda, 2012. "Targeted Subsidies and Private Market Participation: An Assessment of Fertilizer Demand in Nigeria:," IFPRI discussion papers 1194, International Food Policy Research Institute (IFPRI).
    5. Annika Meng, 2010. "Long-term Care Responsibility and its Opportunity Costs," Ruhr Economic Papers 0168, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    6. Shilpi, Forhad & Umali-Deininger, Dina, 2007. "Where to sell ? market facilities and agricultural marketing," Policy Research Working Paper Series 4455, The World Bank.
    7. Barucci, Emilio & Mattesini, Fabrizio, 2008. "Bank shareholding and lending: Complementarity or substitution? Some evidence from a panel of large Italian firms," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2237-2247, October.
    8. Klege, Rebecca A. & Amuakwa-Mensah, Franklin & Visser, Martine, 2022. "Tenancy and energy choices in Rwanda. A replication and extension study," World Development Perspectives, Elsevier, vol. 26(C).
    9. Richard Harris & John Moffat, 2011. "R&D, Innovation and Exporting," SERC Discussion Papers 0073, Centre for Economic Performance, LSE.
    10. Anjani Kumar & Ashok K. Mishra & Sunil Saroj & Vinay K. Sonkar & Ganesh Thapa & Pramod K. Joshi, 2020. "Food safety measures and food security of smallholder dairy farmers: Empirical evidence from Bihar, India," Agribusiness, John Wiley & Sons, Ltd., vol. 36(3), pages 363-384, June.
    11. Clayton L. Thyne, 2006. "Cheap Signals with Costly Consequences," Journal of Conflict Resolution, Peace Science Society (International), vol. 50(6), pages 937-961, December.
    12. Murinde, Victor & Zhao, Tianshu, 2009. "Bank competition, risk taking and productive efficiency: Evidence from Nigeria's banking reform experiments," Stirling Economics Discussion Papers 2009-23, University of Stirling, Division of Economics.
    13. Kochar, Anjini, 2004. "Urban influences on rural schooling in India," Journal of Development Economics, Elsevier, vol. 74(1), pages 113-136, June.
    14. Smale, Melinda & Mason, Nicole M., 2012. "Demand for Maize Hybrids, Seed Subsidies, and Seed Decisionmakers in Zambia," Food Security Collaborative Working Papers 123555, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    15. Bhalotra, Sonia & Heady, Chris, 2000. "Child farm labour: theory and evidence," LSE Research Online Documents on Economics 6654, London School of Economics and Political Science, LSE Library.
    16. Atı̇la Abdulkadı̇roğlu & Joshua D. Angrist & Yusuke Narita & Parag Pathak, 2022. "Breaking Ties: Regression Discontinuity Design Meets Market Design," Econometrica, Econometric Society, vol. 90(1), pages 117-151, January.
    17. Kim Kyoo il & Petrin Amil, 2022. "A Generalized Non-Parametric Instrumental Variable-Control Function Approach to Estimation in Nonlinear Settings," Journal of Econometric Methods, De Gruyter, vol. 11(1), pages 91-125, January.
    18. Emran, M. Shahe & Shilpi, Forhad, 2015. "Do Land Market Restrictions Hinder Structural Change in a Rural Economy? Evidence from Sri Lanka," MPRA Paper 66017, University Library of Munich, Germany.
    19. James Mitchell & Richard J. Smith & Martin R. Weale, 2013. "Efficient Aggregation Of Panel Qualitative Survey Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 580-603, June.
    20. Kishore Gawande, 1997. "A Test of a Theory of Strategically Retaliatory Trade Barriers," Southern Economic Journal, John Wiley & Sons, vol. 64(2), pages 425-449, October.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2408.02573. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.