IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v8y1983i4p289-309.html
   My bibliography  Save this article

N = 1 Designs: The Failure of ANOVA-Based Tests

Author

Listed:
  • Larry E. Toothaker
  • Martha Banz
  • Cindy Noble
  • Jill Camp
  • Diana Davis

Abstract

Several methods have been proposed for the analysis of data from single-subject research settings. This research focuses on the modifications of ANOVA-based tests proposed by Shine and Bower, a procedure that precedes the ANOVA F test by preliminary testing of within-phase lag one serial correlation and the one-way ANOVA as presented by Gentile, Roden and Klein. Monte Carlo simulation is used to investigate these tests with respect to robustness and power. Each test was analyzed under various patterns of serial correlation, various patterns of phase and trial means, normal and exponential distributions, and equal and unequal phase variances. The findings indicate that the probability of a Type I error for these ANOVA-based tests is seriously inflated by nonzero serial correlation. These tests, therefore, cannot be recommended for use with data that have nonzero serial correlation.

Suggested Citation

  • Larry E. Toothaker & Martha Banz & Cindy Noble & Jill Camp & Diana Davis, 1983. "N = 1 Designs: The Failure of ANOVA-Based Tests," Journal of Educational and Behavioral Statistics, , vol. 8(4), pages 289-309, December.
    • Handle: RePEc:sae:jedbes:v:8:y:1983:i:4:p:289-309
    DOI: 10.3102/10769986008004289
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/10769986008004289
    Download Restriction: no
    File URL: https://libkey.io/10.3102/10769986008004289?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
    ---><---

    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:sae:jedbes:v:8:y:1983:i:4:p:289-309. 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: SAGE Publications (email available below). General contact details of provider: .

    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.