IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-08176-7_5.html
   My bibliography  Save this book chapter

Multifactor Designs

In: Linear Models and Design

Author

Listed:
  • Jay H. Beder

    (University of Wisconsin–Milwaukee)

Abstract

We study two important decompositions of the parameter space of a factorial model with arbitrarily many factors. The first is the standard breakdown into main effects and interactions, the basis for the analysis of variance. The second, in classical symmetric factorial models, is a finer decomposition into main effects and components of interaction. In both cases we have some algebraic tools to generate effects from other effects. For the former there is a method given by multilinear algebra (the Kirkjian-Zelen construction), while for the latter we have a much more complete theory using the arithmetic of finite fields. A goal is to control confounding with blocks, and both cases rest upon some general results on blocking (partitioning of the set of treatment combinations).

Suggested Citation

  • Jay H. Beder, 2022. "Multifactor Designs," Springer Books, in: Linear Models and Design, chapter 0, pages 151-217, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-08176-7_5
    DOI: 10.1007/978-3-031-08176-7_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-08176-7_5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.