IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v188y2022ics0047259x21000920.html
   My bibliography  Save this article

Notes on the prehistory of principal components analysis

Author

Listed:
  • Farebrother, Richard W.

Abstract

Principal Components Analysis was developed by Harold Hotelling (1895–1973) in 1933 and Canonical Correlations Analysis in 1936. In this article we trace some of the stages leading up to the development of these procedures, chiefly in the hands of Francis Galton (1822–1911) and Karl Pearson (1857–1936) paying particular attention to the two-variable case developed independently by Julius Ludwig Weisbach (1806–1871) in 1840 and Robert Jackson Adcock (1826–1895) in 1877-78.

Suggested Citation

  • Farebrother, Richard W., 2022. "Notes on the prehistory of principal components analysis," Journal of Multivariate Analysis, Elsevier, vol. 188(C).
  • Handle: RePEc:eee:jmvana:v:188:y:2022:i:c:s0047259x21000920
    DOI: 10.1016/j.jmva.2021.104814
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X21000920
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmva.2021.104814?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. Farebrother, R. W., 1987. "The theory of committee decisions and the double median method," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 437-442, September.
    2. Elizabeth Waterman Gilboy, 1932. "Studies in Demand: Milk and Butter," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 46(4), pages 671-697.
    3. Henry Schultz, 1925. "The Statistical Law of Demand as Illustrated by the Demand for Sugar," Journal of Political Economy, University of Chicago Press, vol. 33(6), pages 577-577.
    4. Henry Schultz, 1925. "The Statistical Law of Demand as Illustrated by the Demand for Sugar," Journal of Political Economy, University of Chicago Press, vol. 33(5), pages 481-481.
    5. Richard Farebrother, 2013. "A genealogy of Florence Nightingale, Charles Darwin, Francis Galton and Francis Ysidro Edgeworth with special reference to their Italian connections and an annexe on Beatrice Webb and Charles Booth," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(3), pages 391-402, August.
    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. Christopher L. Gilbert & Duo Qin, 2005. "The First Fifty Years of Modern Econometrics," Working Papers 544, Queen Mary University of London, School of Economics and Finance.
    2. den Boer, Arnoud V., 2015. "Tracking the market: Dynamic pricing and learning in a changing environment," European Journal of Operational Research, Elsevier, vol. 247(3), pages 914-927.
    3. D. Wade Hands, 2010. "Henry Schultz," Chapters, in: Ross B. Emmett (ed.), The Elgar Companion to the Chicago School of Economics, chapter 15, Edward Elgar Publishing.
    4. David R. Bellhouse, 2009. "Karl Pearson's Influence in the United States," International Statistical Review, International Statistical Institute, vol. 77(1), pages 51-63, April.
    5. Poitras, Geoffrey, 2018. "The pre-history of econophysics and the history of economics: Boltzmann versus the marginalists," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 89-98.
    6. Emeric Lendjel, 2000. "The statistical origin of the cobweb diagram," Post-Print halshs-03243880, HAL.
    7. Emeric Lendjel, 2000. "The statistical origin of the cobweb diagram," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03243880, HAL.

    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:jmvana:v:188:y:2022:i:c:s0047259x21000920. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.