IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v52y2023i3p939-955.html
   My bibliography  Save this article

Estimation and selection for spatial confounding regression models

Author

Listed:
  • Hong-Ding Yang
  • Yung-Huei Chiou
  • Chun-Shu Chen

Abstract

The spatial random effects model is popular in analyzing spatially referenced data sets. The model includes spatially observed covariates and unobserved spatial random effects. If spatial confounding between covariates and random effects is ignored, parameter estimation and spatial prediction would be inaccurate. In this research, we focus on discussing the estimation of regression coefficients and the selection of covariates for spatial regression when existing unmeasured confounders. First, we introduce an adjusted estimation method for regression coefficients and the consequent spatial predictor in the presence of spatial confounding. From a prediction point of view, we then propose a generalized conditional Akaike information criterion to select a subset of covariates, resulting in satisfactory variable selection and spatial prediction. Statistical inferences of the proposed methodology are justified theoretically and numerically.

Suggested Citation

  • Hong-Ding Yang & Yung-Huei Chiou & Chun-Shu Chen, 2023. "Estimation and selection for spatial confounding regression models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(3), pages 939-955, February.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:3:p:939-955
    DOI: 10.1080/03610926.2021.1934025
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2021.1934025
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2021.1934025?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.

    More about this item

    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:taf:lstaxx:v:52:y:2023:i:3:p:939-955. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    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.