IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/6395.html
   My bibliography  Save this paper

On Certain Indices for Ordinal Data with Unequally Weighted Classes

Author

Listed:
  • Perakis, Michael
  • Maravelakis, Petros
  • Psarakis, Stelios
  • Xekalaki, Evdokia
  • Panaretos, John

Abstract

In this paper, some new indices for ordinal data are introduced. These indices have been developed so as to measure the degree of concentration on the “small” or the “large” values of a variable whose level of measurement is ordinal. Their advantage in relation to other approaches is that they ascribe unequal weights to each class of values. Although, they constitute a useful tool in various fields of applications, the focus here is on their use in sample surveys and specifically in situations where one is interested in taking into account the “distance” of the responses from the “neutral” category in a given question. The properties of these indices are examined and methods for constructing confidence intervals for their actual values are discussed. The performance of these methods is evaluated through an extensive simulation study.

Suggested Citation

  • Perakis, Michael & Maravelakis, Petros & Psarakis, Stelios & Xekalaki, Evdokia & Panaretos, John, 2005. "On Certain Indices for Ordinal Data with Unequally Weighted Classes," MPRA Paper 6395, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6395
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/6395/1/MPRA_paper_6395.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. P. Maravelakis & M. Perakis & S. Psarakis & J. Panaretos, 2003. "The Use of Indices in Surveys," Quality & Quantity: International Journal of Methodology, Springer, vol. 37(1), pages 1-19, February.
    2. Raffaella Piccarreta, 2001. "A new measure of nominal-ordinal association," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 107-120.
    3. R. G. D. Allen, 1975. "Index Numbers in Theory and Practice," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-02312-7, September.
    4. Willem F.M. de Vries, 2001. "Meaningful Measures: Indicators on Progress, Progress on Indicators," International Statistical Review, International Statistical Institute, vol. 69(2), pages 313-331, August.
    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. André Fonseca & Vera Zina & Gonçalo Duarte & Francisca C. Aguiar & Patricia María Rodríguez-González & Maria Teresa Ferreira & Maria Rosário Fernandes, 2021. "Riparian Ecological Infrastructures: Potential for Biodiversity-Related Ecosystem Services in Mediterranean Human-Dominated Landscapes," Sustainability, MDPI, vol. 13(19), pages 1-21, September.

    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. Gianluca Baio & Laura Magazzini & Antonio Nicita & Fabio Pammolli & Massimo Riccaboni, 2003. "Il Decreto DL 15/04/2002, n. 63 sul Contenimento della Spesa Farmaceutica - Impatto sull'Industria e Distorsioni nel Funzionamento del Mercato," Working Papers CERM 0-2003, Competitività, Regole, Mercati (CERM).
    2. Huerga, Javier & Steklacova, Lucia, 2008. "An application of index numbers theory to interest rates," Working Paper Series 939, European Central Bank.
    3. Ulrich Kohli, 2004. "An Implicit Törnqvist Index of Real GDP," Journal of Productivity Analysis, Springer, vol. 21(3), pages 337-353, May.
    4. von der Lippe, Peter, 2004. "Hat die „ökonomische Theorie der Indexzahlen“ einen Nutzen für die Praxis der Preisstatistik?," EconStor Conference Papers 40927, ZBW - Leibniz Information Centre for Economics.
    5. Białek Jacek, 2019. "Remarks on Geo-Logarithmic Price Indices," Journal of Official Statistics, Sciendo, vol. 35(2), pages 287-317, June.
    6. Vera Lucia Fava, 2010. "Price dispersion and price indexes," Applied Economics, Taylor & Francis Journals, vol. 42(1), pages 23-36.
    7. John Creedy, 2004. "The Effects on New Zealand Households of an Increase in The Petrol Excise Tax," Treasury Working Paper Series 04/01, New Zealand Treasury.
    8. Mehrhoff Jens, 2010. "Aggregate Indices and Their Corresponding Elementary Indices," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(6), pages 709-725, December.
    9. Lipovetsky, Stan & Conklin, W. Michael, 2006. "Data aggregation and Simpson's paradox gauged by index numbers," European Journal of Operational Research, Elsevier, vol. 172(1), pages 334-351, July.
    10. Gabriela OPAIT, 2009. "The Geometrycal Interpretation of the Relations between the Laspeyres, Paasche, Fisher and Drobisch Indexes and a New Presentation of the Bortkiewicz Relation," Economics and Applied Informatics, "Dunarea de Jos" University of Galati, Faculty of Economics and Business Administration, issue 1, pages 291-298.
    11. Wynne, Mark A & Sigalla, Fiona D, 1996. "A Survey of Measurement Biases in Price Indexes," Journal of Economic Surveys, Wiley Blackwell, vol. 10(1), pages 55-89, March.
    12. Seljak Rudi & Bregar Lea & Colić Sanda & Dozet Maja, 2018. "Probabilistic sampling strategy as a means of improving quality of price indices," Croatian Review of Economic, Business and Social Statistics, Sciendo, vol. 4(2), pages 35-46, November.
    13. William Alterman, 1991. "Price Trends in U.S. Trade: New Data, New Insights," NBER Chapters, in: International Economic Transactions: Issues in Measurement and Empirical Research, pages 109-143, National Bureau of Economic Research, Inc.
    14. Raffaella Piccarreta, 2008. "Classification trees for ordinal variables," Computational Statistics, Springer, vol. 23(3), pages 407-427, July.
    15. Belter, Klaus & Engsted, Tom & Tanggaard, Carsten, 2005. "A new daily dividend-adjusted index for the Danish stock market, 1985-2002: construction, statistical properties, and return predictability," Research in International Business and Finance, Elsevier, vol. 19(1), pages 53-70, March.
    16. Creedy, John & Sleeman, Catherine, 2006. "Carbon taxation, prices and welfare in New Zealand," Ecological Economics, Elsevier, vol. 57(3), pages 333-345, May.
    17. Sydney N. Afriat, 2009. "Computation of Consistent Price Indices," Department of Economics University of Siena 556, Department of Economics, University of Siena.
    18. Gingrich, Chris Daniel, 1995. "Health uncertainty and food consumption in low-income households in Lima, Peru," ISU General Staff Papers 1995010108000012053, Iowa State University, Department of Economics.
    19. Jaison R. Abel & Ernst R. Berndt & Alan G. White, 2003. "Price Indexes for Microsoft's Personal Computer Software Products," NBER Working Papers 9966, National Bureau of Economic Research, Inc.
    20. Vartia, Yrjö O., . "Relative Changes and Index Numbers," ETLA A, The Research Institute of the Finnish Economy, number 4.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: 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:pra:mprapa:6395. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.