IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v56y2012i9p2688-2704.html
   My bibliography  Save this article

Model-based replacement of rounded zeros in compositional data: Classical and robust approaches

Author

Listed:
  • Martín-Fernández, J.A.
  • Hron, K.
  • Templ, M.
  • Filzmoser, P.
  • Palarea-Albaladejo, J.

Abstract

The log-ratio methodology represents a powerful set of methods and techniques for statistical analysis of compositional data. These techniques may be used for the estimation of rounded zeros or values below the detection limit in cases when the underlying data are compositional in nature. An algorithm based on iterative log-ratio regressions is developed by combining a particular family of isometric log-ratio transformations with censored regression. In the context of classical regression methods, the equivalence of the method based on additive and isometric log-ratio transformations is proved. This equivalence does not hold for robust regression. Based on Monte Carlo methods, simulations are performed to assess the performance of classical and robust methods. To illustrate the method, a case study involving geochemical data is conducted.

Suggested Citation

  • Martín-Fernández, J.A. & Hron, K. & Templ, M. & Filzmoser, P. & Palarea-Albaladejo, J., 2012. "Model-based replacement of rounded zeros in compositional data: Classical and robust approaches," Computational Statistics & Data Analysis, Elsevier, vol. 56(9), pages 2688-2704.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:9:p:2688-2704
    DOI: 10.1016/j.csda.2012.02.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167947312000941
    Download Restriction: Full text for ScienceDirect subscribers only.
    File URL: https://libkey.io/10.1016/j.csda.2012.02.012?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. Hron, K. & Templ, M. & Filzmoser, P., 2010. "Imputation of missing values for compositional data using classical and robust methods," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3095-3107, December.
    2. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    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. Tsagris, Michail, 2014. "The k-NN algorithm for compositional data: a revised approach with and without zero values present," MPRA Paper 65866, University Library of Munich, Germany.
    2. Tsagris, Michail, 2015. "Regression analysis with compositional data containing zero values," MPRA Paper 67868, University Library of Munich, Germany.
    3. Germ`a Coenders & N'uria Arimany Serrat, 2023. "Accounting statement analysis at industry level. A gentle introduction to the compositional approach," Papers 2305.16842, arXiv.org, revised Sep 2024.
    4. M. Templ & K. Hron & P. Filzmoser, 2017. "Exploratory tools for outlier detection in compositional data with structural zeros," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(4), pages 734-752, March.
    5. Theophilus K. Agbenyezi & Gordon Foli & Simon K. Y. Gawu, 2020. "Geochemical Characteristics Of Gold-Bearing Granitoids At Ayanfuri In The Kumasi Basin, Southwestern Ghana: Implications For The Orogenic Related Gold Systems," Earth Sciences Malaysia (ESMY), Zibeline International Publishing, vol. 4(2), pages 127-134, June.
    6. Juan José Egozcue & Vera Pawlowsky-Glahn, 2019. "Compositional data: the sample space and its structure," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 599-638, 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. Calcagno, R. & Renneboog, L.D.R., 2004. "Capital Structure and Managerial Compensation : The Effects of Renumeration Seniority," Discussion Paper 2004-120, Tilburg University, Center for Economic Research.
    2. Simplice A. Asongu & Mushfiqur Rahman & Mohammad Alghababsheh, 2022. "Information Technology, Business Sustainability and Female Economic Participation in Sub-Saharan Africa," Working Papers 22/057, European Xtramile Centre of African Studies (EXCAS).
    3. Andrés Felipe Martínez, 2006. "Determinantes de la supervivencia de empresas industriales en el área metropolitana de Cali 1994-2003," Ensayos Sobre Economía Regional (ESER) 2320, Banco de la República - Economía Regional.
    4. Renneboog, L.D.R. & Szilagyi, P.G., 2009. "Shareholder Activism through the Proxy Process," Other publications TiSEM cc25d736-2965-4511-b100-1, Tilburg University, School of Economics and Management.
    5. Brannlund, Runar & Nordstrom, Jonas, 2004. "Carbon tax simulations using a household demand model," European Economic Review, Elsevier, vol. 48(1), pages 211-233, February.
    6. Eunsil Seok & Akhgar Ghassabian & Yuyan Wang & Mengling Liu, 2024. "Statistical Methods for Modeling Exposure Variables Subject to Limit of Detection," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 16(2), pages 435-458, July.
    7. Verbeek, M.J.C.M. & Nijman, T.E., 1992. "Incomplete panels and selection bias : A survey," Discussion Paper 1992-7, Tilburg University, Center for Economic Research.
    8. Lynne, Gary D. & Franklin Casey, C. & Hodges, Alan & Rahmani, Mohammed, 1995. "Conservation technology adoption decisions and the theory of planned behavior," Journal of Economic Psychology, Elsevier, vol. 16(4), pages 581-598, December.
    9. Giovanni Marin & Francesca Lotti, 2017. "Productivity effects of eco-innovations using data on eco-patents," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 26(1), pages 125-148.
    10. Coates, Dennis & Humphreys, Brad, 2011. "Game Attendance and Competitive Balance in the National Hockey League," Working Papers 2011-8, University of Alberta, Department of Economics.
    11. Getachew A. Dagne, 2016. "A growth mixture Tobit model: application to AIDS studies," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(7), pages 1174-1185, July.
    12. Rama Lionel Ngenzebuke, 2016. "Female say on income and child outcomes: Evidence from Nigeria," WIDER Working Paper Series 134, World Institute for Development Economic Research (UNU-WIDER).
    13. Gerko Vink & Laurence E. Frank & Jeroen Pannekoek & Stef Buuren, 2014. "Predictive mean matching imputation of semicontinuous variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 68(1), pages 61-90, February.
    14. Simplice A. Asongu & Nicholas M. Odhiambo, 2022. "The of role economic growth in modulating mobile connectivity dynamics for financial inclusion in developing countries," Working Papers 22/013, European Xtramile Centre of African Studies (EXCAS).
    15. Laeven, Luc, 2001. "Insider Lending and Bank Ownership: The Case of Russia," Journal of Comparative Economics, Elsevier, vol. 29(2), pages 207-229, June.
    16. John Geweke & Joel Horowitz & M. Hashem Pesaran, 2006. "Econometrics: A Bird’s Eye View," CESifo Working Paper Series 1870, CESifo.
    17. Finco, Adele & Padella, Monica & Di Pronio, Guido & Pollonara, Mirco, 2008. "Dinamiche del commercio internazionale dell'olio di oliva italiano: un'analisi prospettica," 2008 XVI Convegno Annuale SIEA - Le Dinamiche del Commercio Agro-alimentare Tra Commodities e Prodotti Differenziati, 5-6 Giugno 2008, Trieste 48194, Italian Society of Agri-food Economics/Società Italiana di Economia Agro-Alimentare (SIEA).
    18. repec:tiu:tiucen:200457 is not listed on IDEAS
    19. Yan Zhang, 2013. "Fair Lending Analysis of Mortgage Pricing: Does Underwriting Matter?," The Journal of Real Estate Finance and Economics, Springer, vol. 46(1), pages 131-151, January.
    20. Vavra, Pavel & Colman, David, 2003. "The analysis of UK crop allocation at the farm level: implications for supply response analysis," Agricultural Systems, Elsevier, vol. 76(2), pages 697-713, May.
    21. Asongu, Simplice A. & Biekpe, Nicholas & Cassimon, Danny, 2021. "On the diffusion of mobile phone innovations for financial inclusion," Technology in Society, Elsevier, vol. 65(C).

    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:eee:csdana:v:56:y:2012:i:9:p:2688-2704. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    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.