IDEAS home Printed from https://ideas.repec.org/p/ias/cpaper/03-wp325.html
   My bibliography  Save this paper

Testing for the Monotone Likelihood Ratio Assumption

Author

Abstract

Monotonicity of the likelihood ratio for conditioned densities is a common technical assumption in economic models. But we have found no empirical tests for its plausibility. This paper develops such a test based on the theory of order-restricted inference, which is robust with respect to the correlation structure of the distributions being compared. We apply the test to study the technology revealed by agricultural production experiments. For the data under scrutiny, the results support the assumption of the monotone likelihood ratio. In a second application, we find some support for the assumption of affiliation among bids cast in a multiple-round Vickrey auction for a consumption good.

Suggested Citation

  • Jutta Roosen & David A. Hennessy, 2003. "Testing for the Monotone Likelihood Ratio Assumption," Center for Agricultural and Rural Development (CARD) Publications 03-wp325, Center for Agricultural and Rural Development (CARD) at Iowa State University.
    • Handle: RePEc:ias:cpaper:03-wp325
    as

    Download full text from publisher

    File URL: https://www.card.iastate.edu/products/publications/pdf/03wp325.pdf
    File Function: Full Text
    Download Restriction: no
    File URL: https://www.card.iastate.edu/products/publications/synopsis/?p=427
    File Function: Online Synopsis
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:cup:etheor:v:10:y:1994:i:5:p:849-66 is not listed on IDEAS
    2. Hendricks, Kenneth & Porter, Robert H & Wilson, Charles A, 1994. "Auctions for Oil and Gas Leases with an Informed Bidder and a Random Reservation Price," Econometrica, Econometric Society, vol. 62(6), pages 1415-1444, November.
    3. Bruce A. Babcock & David A. Hennessy, 1996. "Input Demand under Yield and Revenue Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 416-427.
    4. John A. List & Jason F. Shogren, 1999. "Price Information and Bidding Behavior in Repeated Second-Price Auctions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 942-949.
    5. Savin, N.E., 1984. "Multiple hypothesis testing," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 14, pages 827-879, Elsevier.
    6. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    7. Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-450, June.
    8. Buhong Zheng, 2002. "Testing Lorenz Curves with Non-Simple Random Samples," Econometrica, Econometric Society, vol. 70(3), pages 1235-1243, May.
    9. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    10. Robert G. Chambers, 1989. "Insurability and Moral Hazard in Agricultural Insurance Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(3), pages 604-616.
    11. Shogren, Jason F. & Seung Y. Shin & Dermot J. Hayes & James B. Kliebenstein, 1994. "Resolving Differences in Willingness to Pay and Willingness to Accept," American Economic Review, American Economic Association, vol. 84(1), pages 255-270, March.
    12. Winston Koh, 1992. "A note on modelling tournaments," Journal of Economics, Springer, vol. 55(3), pages 297-308, October.
    13. repec:bla:econom:v:60:y:1993:i:237:p:27-40 is not listed on IDEAS
    14. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    15. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
    16. Kenneth Hendricks, 1990. "Auctions for Oil and Gas Leases with an Informed Bidder and a Random Reservation Price," Discussion Papers 910, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(5), pages 849-866, December.
    18. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
    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. Sangita Kulathinal & Isha Dewan, 2023. "Weighted U-statistics for likelihood-ratio ordering of bivariate data," Statistical Papers, Springer, vol. 64(2), pages 705-735, April.
    2. Jun, Sung Jae & Pinkse, Joris & Wan, Yuanyuan, 2010. "A consistent nonparametric test of affiliation in auction models," Journal of Econometrics, Elsevier, vol. 159(1), pages 46-54, November.
    3. Beare, Brendan K. & Shi, Xiaoxia, 2019. "An improved bootstrap test of density ratio ordering," Econometrics and Statistics, Elsevier, vol. 10(C), pages 9-26.
    4. Hanming Fang & Ami Ko, 2018. "Partial Rating Area Offering in the ACA Marketplaces: Facts, Theory and Evidence," PIER Working Paper Archive 18-025, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Oct 2018.
    5. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    6. Richard T. Boylan, 2012. "The Effect of Punishment Severity on Plea Bargaining," Journal of Law and Economics, University of Chicago Press, vol. 55(3), pages 565-591.
    7. Isabell Goldberg & Jutta Roosen & Rodolfo M. Nayga, 2009. "Parental response to health risk information: experimental results on willingness‐to‐pay for safer infant milk formula," Health Economics, John Wiley & Sons, Ltd., vol. 18(5), pages 503-518, May.

    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. Stengos, Thanasis & Thompson, Brennan S., 2012. "Testing for bivariate stochastic dominance using inequality restrictions," Economics Letters, Elsevier, vol. 115(1), pages 60-62.
    2. Russell Davidson, 2010. "Innis Lecture: Inference on income distributions," Canadian Journal of Economics, Canadian Economics Association, vol. 43(4), pages 1122-1148, November.
    3. David Lander & David Gunawan & William Griffiths & Duangkamon Chotikapanich, 2020. "Bayesian assessment of Lorenz and stochastic dominance," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(2), pages 767-799, May.
    4. Jutta Roosen & David A. Hennessy, 2003. "Tests for the Role of Risk Aversion on Input Use," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(1), pages 30-43.
    5. Wen-Hao Chen & Jean-Yves Duclos, 2011. "Testing for poverty dominance: an application to Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 44(3), pages 781-803, August.
    6. David Lander & David Gunawan & William E. Griffiths & Duangkamon Chotikapanich, 2016. "Bayesian Assessment of Lorenz and Stochastic Dominance Using a Mixture of Gamma Densities," Department of Economics - Working Papers Series 2023, The University of Melbourne.
    7. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    8. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
    9. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    10. Russell Davidson, 2006. "Stochastic Dominance," Departmental Working Papers 2006-19, McGill University, Department of Economics.
    11. Satya P. DAS & Chetan CHATE, 2001. "Endogenous Distribution, Politics, and Growth," LIDAM Discussion Papers IRES 2001019, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    12. Francesco Andreoli, 2018. "Robust Inference for Inverse Stochastic Dominance," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(1), pages 146-159, January.
    13. DENUIT, Michel & SAILLET, Olivier, 2001. "Nonparametric Tests for Positive Quadrant Dependence," LIDAM Discussion Papers IRES 2001009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 01 Apr 2001.
    14. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Wang, 2002. "Consistent testing for stochastic dominance: a subsampling approach," CeMMAP working papers 03/02, Institute for Fiscal Studies.
    15. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2013. "Risk-averse and Risk-seeking Investor Preferences for Oil Spot and Futures," Documentos de Trabajo del ICAE 2013-31, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico, revised Aug 2013.
    16. Jesus Gonzalo & Jose Olmo, 2014. "Conditional Stochastic Dominance Tests In Dynamic Settings," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(3), pages 819-838, August.
    17. Maasoumi, Esfandiar & Almas Heshmati, 2003. "Evaluating Dominance Ranking of PSID Incomes by various Household Attributes," Departmental Working Papers 0509, Southern Methodist University, Department of Economics.
    18. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2015. "Preferences of risk-averse and risk-seeking investors for oil spot and futures before, during and after the Global Financial Crisis," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 204-216.
    19. Luo, Yao, 2020. "Unobserved heterogeneity in auctions under restricted stochastic dominance," Journal of Econometrics, Elsevier, vol. 216(2), pages 354-374.
    20. Shogren, Jason F. & Cho, Sungwon & Koo, Cannon & List, John & Park, Changwon & Polo, Pablo & Wilhelmi, Robert, 2001. "Auction mechanisms and the measurement of WTP and WTA," Resource and Energy Economics, Elsevier, vol. 23(2), pages 97-109, April.

    More about this item

    Keywords

    affiliation; auction; likelihood ratio; order-restricted inference; stochastic order.;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • Q0 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General

    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:ias:cpaper:03-wp325. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/caiasus.html .

    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.