IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-7908-1687-7_19.html
   My bibliography  Save this book chapter

The Probability of the Occurrence of Negative Estimates in the Variance Components Estimation by Nested Precision Experiments

In: Frontiers in Statistical Quality Control 8

Author

Listed:
  • Yoshikazu Ojima

    (Tokyo University of Science, Department of Industrial Administration)

  • Seiichi Yasui

    (Tokyo University of Science, Department of Industrial Administration)

  • Feng Ling

    (Tokyo University of Science, Department of Industrial Administration)

  • Tomomichi Suzuki

    (Tokyo University of Science, Department of Industrial Administration)

  • Taku Harada

    (Tokyo University of Science, Department of Industrial Administration)

Abstract

Summary Nested experiments are commonly used to estimate variance components especially for the precision experiments. The ANOVA (analysis of variance) estimators are expressed as linear combinations of the mean squares from the ANOVA. Negative estimates can occur, as the linear combinations are usually including negative coefficients. The probability of the occurrence of negative estimates depends on the degrees of freedom of the mean squares and the true values of the variance components themselves. Based on the probability, some practical recommendations concerning the number of laboratories can be derived for the precision experiments.

Suggested Citation

  • Yoshikazu Ojima & Seiichi Yasui & Feng Ling & Tomomichi Suzuki & Taku Harada, 2006. "The Probability of the Occurrence of Negative Estimates in the Variance Components Estimation by Nested Precision Experiments," Springer Books, in: Hans-Joachim Lenz & Peter-Theodor Wilrich (ed.), Frontiers in Statistical Quality Control 8, pages 322-331, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-1687-7_19
    DOI: 10.1007/3-7908-1687-6_19
    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

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:978-3-7908-1687-7_19. 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.