IDEAS home Printed from https://ideas.repec.org/a/bpj/jecome/v4y2015i1p18n4.html
   My bibliography  Save this article

Testing Competing Models for Non-negative Data with Many Zeros

Author

Listed:
  • Silva João M. C. Santos

    (University of Essex, Wivenhoe Park, Colchester CO4 3SQ, UK)

  • Tenreyro Silvana

    (London School of Economics and CfM, CREI, CEP, CEPR, Department of Economics, 32 Lincoln’s Inn Fields, 2.17, London WC2A 3PH, UK)

  • Windmeijer Frank

    (Department of Economics, University of Bristol, 8 Woodland Road, Bristol BS8 1TN, UK)

Abstract

In economic applications it is often the case that the variate of interest is non-negative and its distribution has a mass-point at zero. Many regression strategies have been proposed to deal with data of this type but, although there has been a long debate in the literature on the appropriateness of different models, formal statistical tests to choose between the competing specifications are not often used in practice. We use the non-nested hypothesis testing framework of Davidson and MacKinnon (Davidson and MacKinnon 1981. “Several Tests for Model Specification in the Presence of Alternative Hypotheses.” Econometrica 49: 781–793.) to develop a novel and simple regression-based specification test that can be used to discriminate between these models.

Suggested Citation

  • Silva João M. C. Santos & Tenreyro Silvana & Windmeijer Frank, 2015. "Testing Competing Models for Non-negative Data with Many Zeros," Journal of Econometric Methods, De Gruyter, vol. 4(1), pages 1-18, January.
  • Handle: RePEc:bpj:jecome:v:4:y:2015:i:1:p:18:n:4
    DOI: 10.1515/jem-2013-0005
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/jem-2013-0005
    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-2013-0005?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. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    2. Pesaran, M H & Deaton, Angus S, 1978. "Testing Non-Nested Nonlinear Regression Models," Econometrica, Econometric Society, vol. 46(3), pages 677-694, May.
    3. Fisher, Gordon & McAleer, Michael, 1979. "On the interpretation of the cox test in econometrics," Economics Letters, Elsevier, vol. 4(2), pages 145-150.
    4. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    5. Deaton, Angus & Irish, Margaret, 1984. "Statistical models for zero expenditures in household budgets," Journal of Public Economics, Elsevier, vol. 23(1-2), pages 59-80.
    6. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    7. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    8. MacKinnon, James G. & White, Halbert & Davidson, Russell, 1983. "Tests for model specification in the presence of alternative hypotheses : Some further results," Journal of Econometrics, Elsevier, vol. 21(1), pages 53-70, January.
    9. JAMES G. MacKINNON, 2006. "Bootstrap Methods in Econometrics," The Economic Record, The Economic Society of Australia, vol. 82(s1), pages 2-18, September.
    10. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    11. Wooldridge, Jeffrey M., 1992. "A Test for Functional Form Against Nonparametric Alternatives," Econometric Theory, Cambridge University Press, vol. 8(4), pages 452-475, December.
    12. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    13. Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
    14. J. M. C. Santos Silva, 2001. "A score test for non-nested hypotheses with applications to discrete data models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(5), pages 577-597.
    15. John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc.
    16. Eaton Jonathan & Tamura Akiko, 1994. "Bilateralism and Regionalism in Japanese and U.S. Trade and Direct Foreign Investment Patterns," Journal of the Japanese and International Economies, Elsevier, vol. 8(4), pages 478-510, December.
    17. Santos Silva, J.M.C. & Tenreyro, Silvana, 2011. "Further simulation evidence on the performance of the Poisson pseudo-maximum likelihood estimator," Economics Letters, Elsevier, vol. 112(2), pages 220-222, August.
    18. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    19. James E. Anderson & Yoto V. Yotov, 2010. "The Changing Incidence of Geography," American Economic Review, American Economic Association, vol. 100(5), pages 2157-2186, December.
    20. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 441-487.
    21. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    22. Elhanan Helpman & Marc J. Melitz & Stephen R. Yeaple, 2004. "Export Versus FDI with Heterogeneous Firms," American Economic Review, American Economic Association, vol. 94(1), pages 300-316, March.
    23. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    24. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-1070, September.
    25. Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
    26. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
    27. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    28. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
    29. Duan, Naihua, et al, 1983. "A Comparison of Alternative Models for the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 115-126, April.
    30. Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-1458, November.
    31. Duan, Naihua, et al, 1984. "Choosing between the Sample-Selection Model and the Multi-part Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(3), pages 283-289, July.
    32. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    33. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    34. Quandt, Richard E, 1974. "A Comparison of Methods for Testing Nonnested Hypotheses," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 92-99, February.
    35. Feinstein, Jonathan S, 1989. "The Safety Regulation of U.S. Nuclear Power Plants: Violations, Inspections, and Abnormal Occurrences," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 115-154, February.
    36. James E. Anderson, 2010. "The Incidence of Gravity," Boston College Working Papers in Economics 732, Boston College Department of Economics.
    37. Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
    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. Li Donni, Paolo & Marino, Maria & Welzel, Christian, 2021. "How important is culture to understand political protest?," World Development, Elsevier, vol. 148(C).
    2. Hendrik W. Kruse & Inma Martínez-Zarzoso & Leila Baghdadi, 2017. "Standards and Market Power: Evidence from Tunisia," Working Papers 1131, Economic Research Forum, revised 08 2017.
    3. João M. C. Santos Silva, 2017. "Local maxima in the estimation of the ZINB and sample selection models," United Kingdom Stata Users' Group Meetings 2017 07, Stata Users Group.
    4. Theresa M. Greaney & Kozo Kiyota, 2020. "Japan’s Outward FDI Potential," Working Papers 202005, University of Hawaii at Manoa, Department of Economics.
    5. Daria Denti & Alessandra Faggian, 2021. "Where do angry birds tweet? Income inequality and online hate in Italy," Cambridge Journal of Regions, Economy and Society, Cambridge Political Economy Society, vol. 14(3), pages 483-506.
    6. Greaney, Theresa M. & Kiyota, Kozo, 2020. "Japan's outward FDI potential," Journal of the Japanese and International Economies, Elsevier, vol. 57(C).
    7. Hoshi, Takeo & Kiyota, Kozo, 2019. "Potential for inward foreign direct investment in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 52(C), pages 32-52.
    8. Byeongchan An & Robert M. Bushman & Anya V. Kleymenova & Rimmy E. Tomy, 2022. "Social Externalities of Bank Enforcement Actions: The Case of Minority Lending," Finance and Economics Discussion Series 2022-036, Board of Governors of the Federal Reserve System (U.S.).
    9. Babet Hogetoorn & Michiel Gerritse, 2021. "The impact of terrorism on international mergers and acquisitions: Evidence from firm-level decisions," Journal of Peace Research, Peace Research Institute Oslo, vol. 58(3), pages 523-538, May.
    10. Christoph Metzger, 2017. "Who is saving privately for retirement and how much? New evidence for Germany," International Review of Applied Economics, Taylor & Francis Journals, vol. 31(6), pages 811-831, November.
    11. Nguyen, Anh T.N. & Haug, Alfred A. & Owen, P. Dorian & Genç, Murat, 2020. "What drives bilateral foreign direct investment among Asian economies?," Economic Modelling, Elsevier, vol. 93(C), pages 125-141.
    12. Mario Larch & Aiko F. Schmeißer & Joschka Wanner, 2021. "A Tale of (almost) 1001 Coefficients: The Deep and Heterogeneous Effects of the EU‐Turkey Customs Union," Journal of Common Market Studies, Wiley Blackwell, vol. 59(2), pages 242-260, March.
    13. Ronelle Burger & Canh Thien Dang & Trudy Owens, 2017. "Better performing NGOs do report more accurately: Evidence from investigating Ugandan NGO financial accounts," Discussion Papers 2017-10, University of Nottingham, CREDIT.
    14. Christophe Bellégo & David Benatia & Louis-Daniel Pape, 2022. "Dealing with Logs and Zeros in Regression Models," Working Papers 2022-08, Center for Research in Economics and Statistics.
    15. Kruse, Hendrik W. & Martínez-Zarzoso, Inma & Baghdadi, Leila, 2021. "Standards and political connections: Evidence from Tunisia," Journal of Development Economics, Elsevier, vol. 153(C).
    16. Das, Joy & Tanger, Shaun & Fannin, J. Matthew & Kennedy, P. Lynn, 2020. "Institutional Determinant of Market Concentration and Trade in a General Equilibrium Setup," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304458, Agricultural and Applied Economics Association.
    17. Rodolfo Metulini & Massimo Riccaboni & Paolo Sgrignoli & Zhen Zhu, 2017. "The Indirect Effects of FDI on Trade: A Network Perspective," Working Papers 04/2017, IMT School for Advanced Studies Lucca, revised Mar 2017.
    18. Salvador Gil-Pareja & Rafael Llorca-Vivero & José Antonio Martínez-Serrano, 2016. "A Re-Examination of the Effect of GATT/WTO on Trade," Open Economies Review, Springer, vol. 27(3), pages 561-584, July.
    19. Verkade, Emiel & Bakens, Jessie, 2020. "Commuter flow predictions in POA: Evaluation study," ROA Technical Report 005, Maastricht University, Research Centre for Education and the Labour Market (ROA).
    20. Magontier, Pierre & Sole-Olle, Albert & Viladecans-Marsal, Elisabet, 2021. "The political economy of coastal development," CEPR Discussion Papers 15780, C.E.P.R. Discussion Papers.
    21. Elina Bryngemark & Patrik Söderholm, 2022. "Green industrial policies and domestic production of biofuels: an econometric analysis of OECD countries," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 24(2), pages 225-261, April.
    22. J.M.C. Santos Silva & Silvana Tenreyro, 2021. "The Log of Gravity At 15," School of Economics Discussion Papers 0121, School of Economics, University of Surrey.

    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. Bo Xiong & Sixia Chen, 2014. "Estimating gravity equation models in the presence of sample selection and heteroscedasticity," Applied Economics, Taylor & Francis Journals, vol. 46(24), pages 2993-3003, August.
    2. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    3. Santos Silva, J.M.C. & Tenreyro, Silvana & Wei, Kehai, 2014. "Estimating the extensive margin of trade," Journal of International Economics, Elsevier, vol. 93(1), pages 67-75.
    4. Luis Castro & Ben G. Li & Keith E. Maskus & Yiqing Xie, 2016. "Fixed Export Costs and Export Behavior," Southern Economic Journal, John Wiley & Sons, vol. 83(1), pages 300-320, July.
    5. Martin,William J., 2020. "Making Gravity Great Again," Policy Research Working Paper Series 9391, The World Bank.
    6. Anderson, James E. & Yotov, Yoto V., 2020. "Short run gravity," Journal of International Economics, Elsevier, vol. 126(C).
    7. Fally, Thibault, 2015. "Structural gravity and fixed effects," Journal of International Economics, Elsevier, vol. 97(1), pages 76-85.
    8. Xiong, Bo & Beghin, John C. & Marette, Stephan, 2013. "Gains to French champagne makers from tariff liberalization," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150003, Agricultural and Applied Economics Association.
    9. William Martin & Cong S. Pham, 2020. "Estimating the gravity model when zero trade flows are frequent and economically determined," Applied Economics, Taylor & Francis Journals, vol. 52(26), pages 2766-2779, May.
    10. Güzin Bayar, 2018. "Estimating export equations: a survey of the literature," Empirical Economics, Springer, vol. 54(2), pages 629-672, March.
    11. Luc Anselin, 1988. "Model Validation in Spatial Econometrics: A Review and Evaluation of Alternative Approaches," International Regional Science Review, , vol. 11(3), pages 279-316, December.
    12. Bo Xiong & John Beghin, 2017. "Disentangling Demand-Enhancing And Trade-Cost Effects Of Maximum Residue Regulations," World Scientific Book Chapters, in: John Christopher Beghin (ed.), Nontariff Measures and International Trade, chapter 6, pages 105-108, World Scientific Publishing Co. Pte. Ltd..
    13. Gregory Corcos & Massimo Del Gatto & Giordano Mion & Gianmarco I.P. Ottaviano, 2012. "Productivity and Firm Selection: Quantifying the ‘New’ Gains from Trade," Economic Journal, Royal Economic Society, vol. 122(561), pages 754-798, June.
    14. Juliana D. Araujo & Povilas Lastauskas & Chris Papageorgiou, 2017. "Evolution of Bilateral Capital Flows to Developing Countries at Intensive and Extensive Margins," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(7), pages 1517-1554, October.
    15. Carl Gaigné & Lota D. Tamini, 2021. "Environmental Taxation and Import Demand for Environmental Goods: Theory and Evidence from the European Union," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 78(2), pages 307-352, February.
    16. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    17. French, Scott, 2016. "The composition of trade flows and the aggregate effects of trade barriers," Journal of International Economics, Elsevier, vol. 98(C), pages 114-137.
    18. Liu, Lei & Strawderman, Robert L. & Cowen, Mark E. & Shih, Ya-Chen T., 2010. "A flexible two-part random effects model for correlated medical costs," Journal of Health Economics, Elsevier, vol. 29(1), pages 110-123, January.
    19. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2012. "The Empirics of Firm Heterogeneity and International Trade," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 283-313, July.
    20. Kareem, Fatima Olanike & Martinez-Zarzoso, Inmaculada & Brümmer, Bernhard, 2016. "Fitting the Gravity Model when Zero Trade Flows are Frequent: a Comparison of Estimation Techniques using Africa's Trade Data," GlobalFood Discussion Papers 230588, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    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:4:y:2015:i:1:p:18:n:4. See general information about how to correct material in RePEc.

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

    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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.