IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v21y2009i1p41-48.html
   My bibliography  Save this article

Dichotomous transformations for statistical inference about odds ratios

Author

Listed:
  • Xiangning Huang
  • Baibing Li

Abstract

Dichotomous transformations for continuous outcomes are commonly used. In this paper, we investigate dichotomisation for statistical inference about odds ratios in a situation where two underlying distributions from which independent samples are drawn are skewed and unknown. Under some mild conditions it is shown that a suitable choice of the cutpoint of a dichotomous transformation must lie within the range bounded by the two medians of the two underlying distributions, within which there exists a unique optimal cutpoint in terms of the asymptotic efficiency of point estimation and hypothesis testing. The issue of selecting a cutpoint is also linked to the choice amongst some existing non-parametric tests.

Suggested Citation

  • Xiangning Huang & Baibing Li, 2009. "Dichotomous transformations for statistical inference about odds ratios," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(1), pages 41-48.
    • Handle: RePEc:taf:gnstxx:v:21:y:2009:i:1:p:41-48
    DOI: 10.1080/10485250802471551
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485250802471551
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/10485250802471551?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. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    2. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    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. Madeleine Cule & Richard Samworth & Michael Stewart, 2010. "Maximum likelihood estimation of a multi‐dimensional log‐concave density," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(5), pages 545-607, November.
    2. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    3. Mark J. McCabe & Christopher M. Snyder, 2018. "Open Access as a Crude Solution to a Hold‐Up Problem in the Two‐Sided Market for Academic Journals," Journal of Industrial Economics, Wiley Blackwell, vol. 66(2), pages 301-349, June.
    4. Jonathan B. Berk, 1999. "Statistical Discrimination in a Competitive Labor Market," NBER Working Papers 6871, National Bureau of Economic Research, Inc.
    5. Miravete, Eugenio J., 2011. "Convolution and composition of totally positive random variables in economics," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 479-490.
    6. Domenico Colucci & Nicola Doni & Vincenzo Valori, 2015. "Information policies in procurement auctions with heterogeneous suppliers," Journal of Economics, Springer, vol. 114(3), pages 211-238, April.
    7. Ying Shen & Chuancun Yin & Kam Chuen Yuen, 2011. "Alternative approach to the optimality of the threshold strategy for spectrally negative Levy processes," Papers 1101.0446, arXiv.org, revised Feb 2014.
    8. Florian Hoffmann & Roman Inderst & Marco Ottaviani, 2013. "Hypertargeting, Limited Attention, and Privacy: Implications for Marketing and Campaigning," Working Papers 479, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Domenico Colucci & Nicola Doni & Vincenzo Valori, 2009. "Dynamics in Non-Binding Procurement Auctions with Boundedly Rational Bidders," Working Papers - Mathematical Economics 2009-06, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    10. Ramesh Gupta & N. Balakrishnan, 2012. "Log-concavity and monotonicity of hazard and reversed hazard functions of univariate and multivariate skew-normal distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(2), pages 181-191, February.
    11. Jeon, Doh-Shin & Hurkens, Sjaak & Menicucci, Domenico, 2016. "Leveraging Dominance with Credible Bundling," CEPR Discussion Papers 11304, C.E.P.R. Discussion Papers.
    12. Sjaak Hurkens & Doh-Shin Jeon & Domenico Menicucci, 2019. "Dominance and Competitive Bundling," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 1-33, August.
    13. Anja Schöttner, 2008. "Fixed-prize tournaments versus first-price auctions in innovation contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 57-71, April.
    14. Mailath, George J. & Nöldeke, Georg, 2006. "Extreme Adverse Selection, Competitive Pricing, and Market Breakdown," Working papers 2006/09, Faculty of Business and Economics - University of Basel.
    15. Rustam Ibragimov & Johan Walden, 2011. "Value at risk and efficiency under dependence and heavy-tailedness: models with common shocks," Annals of Finance, Springer, vol. 7(3), pages 285-318, August.
    16. Mailath, George J. & Nöldeke, Georg, 2008. "Does competitive pricing cause market breakdown under extreme adverse selection?," Journal of Economic Theory, Elsevier, vol. 140(1), pages 97-125, May.
    17. Caio Lorecchio, 2022. "Persuading crowds," UB School of Economics Working Papers 2022/434, University of Barcelona School of Economics.
    18. Simon Cowan, 2007. "The welfare effects of third-degree price discrimination with nonlinear demand functions," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 419-428, June.
    19. Hanming Fang & Peter Norman, 2006. "To bundle or not to bundle," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 946-963, December.
    20. Imhof, Lorens & Kräkel, Matthias, 2014. "Bonus pools and the informativeness principle," European Economic Review, Elsevier, vol. 66(C), pages 180-191.

    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:taf:gnstxx:v:21:y:2009:i:1:p:41-48. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/GNST20 .

    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.