IDEAS home Printed from https://ideas.repec.org/a/tpr/restat/v103y2021i2p346-363.html

The Wild Bootstrap with a “Small” Number of “Large” Clusters

Author

Listed:
  • Ivan A. Canay

    (Northwestern University)

  • Andres Santos

    (UCLA)

  • Azeem M. Shaikh

    (University of Chicago)

Abstract

This paper studies the wild bootstrap–based test proposed in Cameron, Gelbach, and Miller (2008). Existing analyses of its properties require that number of clusters is “large.” In an asymptotic framework in which the number of clusters is “small,” we provide conditions under which an unstudentized version of the test is valid. These conditions include homogeneity-like restrictions on the distribution of covariates. We further establish that a studentized version of the test may only overreject the null hypothesis by a “small” amount that decreases exponentially with the number of clusters. We obtain a qualitatively similar result for “score” bootstrap-based tests, which permit testing in nonlinear models.

Suggested Citation

  • Ivan A. Canay & Andres Santos & Azeem M. Shaikh, 2021. "The Wild Bootstrap with a “Small” Number of “Large” Clusters," The Review of Economics and Statistics, MIT Press, vol. 103(2), pages 346-363, May.
    • Handle: RePEc:tpr:restat:v:103:y:2021:i:2:p:346-363
    DOI: 10.1162/rest_a_00887
    as

    Download full text from publisher

    File URL: https://doi.org/10.1162/rest_a_00887
    Download Restriction: no
    File URL: https://libkey.io/10.1162/rest_a_00887?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
    ---><---

    Other versions of this item:

    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:tpr:restat:v:103:y:2021:i:2:p:346-363. 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: The MIT Press (email available below). General contact details of provider: https://direct.mit.edu/journals .

    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.