IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v76y2013i6p799-818.html
   My bibliography  Save this article

Estimation of a proportion in survey sampling using the logratio approach

Author

Listed:
  • Karel Hron
  • Matthias Templ
  • Peter Filzmoser

Abstract

The estimation of a mean of a proportion is a frequent task in statistical survey analysis, and often such ratios are estimated from compositions such as income components, wage components, tax components, etc. In practice, the weighted arithmetic mean is regularly used to estimate the center of the data. However, this estimator is not appropriate if the ratios are estimated from compositions, because the sample space of compositional data is the simplex and not the usual Euclidean space. We demonstrate that the weighted geometric mean is useful for this purpose. Even for different sampling designs, the weighted geometric mean shows excellent behavior. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Karel Hron & Matthias Templ & Peter Filzmoser, 2013. "Estimation of a proportion in survey sampling using the logratio approach," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(6), pages 799-818, August.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:6:p:799-818
    DOI: 10.1007/s00184-012-0416-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00184-012-0416-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00184-012-0416-6?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. Atkinson, Tony & Cantillon, Bea & Marlier, Eric & Nolan, Brian, 2002. "Social Indicators: The EU and Social Inclusion," OUP Catalogue, Oxford University Press, number 9780199253494, Decembrie.
    2. Tony Atkinson & Bea Cantillon & Eric Marlier & Brian Nolan, 2002. "Indicators for Social Inclusion," Politica economica, Società editrice il Mulino, issue 1, pages 7-28.
    3. Phillip S. Kott & Yan K. Liu, 2009. "One‐Sided Coverage Intervals for a Proportion Estimated from a Stratified Simple Random Sample," International Statistical Review, International Statistical Institute, vol. 77(2), pages 251-265, August.
    4. Karel Hron & Lubomír Kubáček, 2011. "Statistical properties of the total variation estimator for compositional data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(2), pages 221-230, September.
    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. Ilari Ilmakunnas & Lauri Mäkinen, 2021. "Age Differences in Material Deprivation in Finland: How do Consensus and Prevalence-Based Weighting Approaches Change the Picture?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 154(2), pages 393-412, April.
    2. Espinoza-Delgado, José & Silber, Jacques, 2018. "Multi-dimensional poverty among adults in Central America and gender differences in the three I’s of poverty: Applying inequality sensitive poverty measures with ordinal variables," MPRA Paper 88750, University Library of Munich, Germany.
    3. Anne-Catherine Guio & David Gordon & Eric Marlier & Hector Najera & Marco Pomati, 2018. "Towards an EU measure of child deprivation," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 11(3), pages 835-860, June.
    4. Olivier Bargain & Tim Callan, 2010. "Analysing the effects of tax-benefit reforms on income distribution: a decomposition approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(1), pages 1-21, March.
    5. Frick, Joachim R. & Grabka, Markus M. & Smeeding, Timothy M. & Tsakloglou, Panos, 2010. "Distributional Effects of Imputed Rents in Five European Countries," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(3), pages 167-179.
    6. Christos Koutsampelas & Panos Tsakloglou, 2013. "The distribution of full income in Greece," International Journal of Social Economics, Emerald Group Publishing Limited, vol. 40(4), pages 311-330, March.
    7. Bruce D. Meyer & James X. Sullivan, 2012. "Identifying the Disadvantaged: Official Poverty, Consumption Poverty, and the New Supplemental Poverty Measure," Journal of Economic Perspectives, American Economic Association, vol. 26(3), pages 111-136, Summer.
    8. Duclos, Jean-Yves & Araar, Abdelkrim & Giles, John, 2010. "Chronic and transient poverty: Measurement and estimation, with evidence from China," Journal of Development Economics, Elsevier, vol. 91(2), pages 266-277, March.
    9. Manos Matsaganis & Chrysa Leventi, 2011. "The distributional impact of the crisis in Greece," DEOS Working Papers 1124, Athens University of Economics and Business.
    10. Maite Blázquez & Elena Cottini & Ainhoa Herrarte, 2014. "The socioeconomic gradient in health: how important is material deprivation?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(2), pages 239-264, June.
    11. Frank Cowell & Udo Ebert, 2004. "Complaints and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 71-89, August.
    12. Rolf Aaberge & Audun Langørgen & Petter Lindgren, 2013. "The distributional impact of public services in," Discussion Papers 746, Statistics Norway, Research Department.
    13. Marco Grasso & Luciano Canova, 2008. "An Assessment of the Quality of Life in the European Union Based on the Social Indicators Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 87(1), pages 1-25, May.
    14. Timothy Smeeding, 2005. "Government Programs and Social Outcomes: The United States in Comparative Perspective," LIS Working papers 426, LIS Cross-National Data Center in Luxembourg.
    15. Di Cataldo, Marco & Rodríguez-Pose, Andrés, 2016. "What drives employment growth and social inclusion in EU regions," LSE Research Online Documents on Economics 68510, London School of Economics and Political Science, LSE Library.
    16. Menon Martina & Perali Federico & Veronesi Marcella, 2017. "“Leaving No Child Behind:” Preferences for Social Inclusion and Altruism," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 17(3), pages 1-19, July.
    17. Sabina Alkire & Maria Emma Santos, 2010. "Acute Multidimensional Poverty: A New Index for Developing Countries," Human Development Research Papers (2009 to present) HDRP-2010-11, Human Development Report Office (HDRO), United Nations Development Programme (UNDP).
    18. Alkire, Sabina & Santos, Maria Emma, 2014. "Measuring Acute Poverty in the Developing World: Robustness and Scope of the Multidimensional Poverty Index," World Development, Elsevier, vol. 59(C), pages 251-274.
    19. Sommarat Chantarat & Christopher Barrett, 2012. "Social network capital, economic mobility and poverty traps," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 299-342, September.
    20. Vani K. Borooah & Paddy Hillyard & Mike Tomlinson, 2006. "Equity‐Sensitive Indicators Of Living Standards With An Application To Northern Ireland," Scottish Journal of Political Economy, Scottish Economic Society, vol. 53(5), pages 616-635, November.

    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:spr:metrik:v:76:y:2013:i:6:p:799-818. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.