IDEAS home Printed from https://ideas.repec.org/a/tsj/stataj/v5y2005i4p574-593.html
   My bibliography  Save this article

Speaking Stata: Smoothing in various directions

Author

Listed:
  • Nicholas J. Cox

    (Durham University, UK)

Abstract

Identifying patterns in bivariate data on a scatterplot remains a ba- sic statistical problem, with special flavor when both variables are on the same footing. Ideas of double, diagonal, and polar smoothing inspired by Cleveland and McGill’s 1984 paper in the Journal of the American Statistical Association are revisited with various examples from environmental datasets. Double smooth- ing means smoothing both y given x and x given y. Diagonal smoothing means smoothing based on the sum and difference of y and x that treats the two variables symmetrically, possibly under standardization. Polar smoothing is based on the transformation from Cartesian to polar coordinates followed by smoothing and then reverse transformation; here the smoothing is implemented by regression on a series of sine and cosine terms. These methods thus offer exploratory tools for determining the broad structure of bivariate data.

Suggested Citation

  • Nicholas J. Cox, 2005. "Speaking Stata: Smoothing in various directions," Stata Journal, StataCorp LP, vol. 5(4), pages 574-593, December.
  • Handle: RePEc:tsj:stataj:v:5:y:2005:i:4:p:574-593
    as

    Download full text from publisher

    File URL: http://www.stata-journal.com/article.html?article=gr0021
    Download Restriction: no

    File URL: http://www.stata-journal.com/software/sj5-4/gr0021/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Peter Sasieni, 1995. "Symmetric nearest neighbor linear smoothers," Stata Technical Bulletin, StataCorp LP, vol. 4(24).
    2. William D. Dupont & W. Dale Plummer, Jr., 2005. "Using density-distribution sunflower plots to explore bivariate relationships in dense data," Stata Journal, StataCorp LP, vol. 5(3), pages 371-384, September.
    3. Peter Sasieni & Patrick Royston, 1998. "Pointwise confidence intervals for running," Stata Technical Bulletin, StataCorp LP, vol. 7(41).
    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. Maiti, Dibyendu & Bhattacharyya, Chandril, 2020. "Informality, enforcement and growth," Economic Modelling, Elsevier, vol. 84(C), pages 259-274.

    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. Juyoung Cheong & Do Won Kwak & Kam Ki Tang, 2016. "The distance effects on the intensive and extensive margins of trade over time," Empirical Economics, Springer, vol. 50(2), pages 253-278, March.
    2. Patrick Royston & Nicholas J. Cox, 2005. "A multivariable scatterplot smoother," Stata Journal, StataCorp LP, vol. 5(3), pages 405-412, September.
    3. Liverpool, Lenis Saweda O. & Winter-Nelson, Alex, 2010. "Asset versus consumption poverty and poverty dynamics in the presence of multiple equilibria in rural Ethiopia," IFPRI discussion papers 971, International Food Policy Research Institute (IFPRI).
    4. Juyoung Cheong & Do Won Kwak & Kam Ki Tang, 2013. "WTO Trade Effects and Identification Problems: Why Knowing The Structural Properties of WTO Memberships Matters?," Discussion Papers Series 491, School of Economics, University of Queensland, Australia.

    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:tsj:stataj:v:5:y:2005:i:4:p:574-593. 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: Christopher F. Baum or Lisa Gilmore (email available below). General contact details of provider: http://www.stata-journal.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.