IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v34y2007i1p61-70.html
   My bibliography  Save this article

A-Optimal Block Designs with Additional Singly Replicated Treatments

Author

Listed:
  • Agnes Herzberg
  • Richard Jarrett

Abstract

Block designs to which have been added a number of singly-replicated treatments, known as secondary treatments, are particularly useful for experiments where only small amounts of material are available for some treatments, for example new plant varieties. The designs are of particular use in the microarray situation. Such designs are known as 'augmented designs'. This paper obtains the properties of these designs and shows that, with an equal number of secondary treatments in each block, the A-optimal design is obtained by using the A-optimal design for the original block design. It develops formulae for the variance of treatment comparisons, for both the primary and the secondary treatments. A number of examples are used to illustrate the results.

Suggested Citation

  • Agnes Herzberg & Richard Jarrett, 2007. "A-Optimal Block Designs with Additional Singly Replicated Treatments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(1), pages 61-70.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:1:p:61-70
    DOI: 10.1080/02664760600744512
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664760600744512
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664760600744512?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.

    References listed on IDEAS

    as
    1. anonymous, 1978. "Communication," Management Science, INFORMS, vol. 24(9), pages 919-919, May.
    2. M. Kathleen Kerr, 2003. "Design Considerations for Efficient and Effective Microarray Studies," Biometrics, The International Biometric Society, vol. 59(4), pages 822-828, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hans-Peter Piepho & Emlyn R. Williams & Volker Michel, 2016. "Nonresolvable Row–Column Designs with an Even Distribution of Treatment Replications," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 21(2), pages 227-242, June.
    2. Linda M. Haines, 2021. "Augmented Block Designs for Unreplicated Trials," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(3), pages 409-427, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hannu Vartiainen, 2009. "A Simple Model of Secure Public Communication," Theory and Decision, Springer, vol. 67(1), pages 101-122, July.
    2. E. G. Davis & P. B. Mokkelbost, 1983. "The Recapitalization of Crown Corporations," Canadian Public Policy, University of Toronto Press, vol. 9(2), pages 181-188, June.
    3. Birger Wernerfelt, 2004. "Organizational Languages," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(3), pages 461-472, September.
    4. Landgrebe, Jobst & Bretz, Frank & Brunner, Edgar, 2006. "Efficient design and analysis of two colour factorial microarray experiments," Computational Statistics & Data Analysis, Elsevier, vol. 50(2), pages 499-517, January.
    5. W. Robert Reed, 2009. "The Determinants Of U.S. State Economic Growth: A Less Extreme Bounds Analysis," Economic Inquiry, Western Economic Association International, vol. 47(4), pages 685-700, October.
    6. Cora Barnhart & Gerald P. Dwyer, 2002. "Are stocks in new industries like lottery tickets?," FRB Atlanta Working Paper 2002-15, Federal Reserve Bank of Atlanta.
    7. Sosa, Manuel E., 2003. "Factors that influence technical communication in distributed product development : an empirical study in the telecommunications industry," Working papers WP 4123-00., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    8. Whipple, Judith M. & Frankel, Robert, 1998. "The Alliance Formation Process," International Food and Agribusiness Management Review, International Food and Agribusiness Management Association, vol. 1(3), pages 1-23.
    9. Cora Barnhart & Gerald P. Dwyer, 2012. "Returns To Investors In Stocks In New Industries," Economic Inquiry, Western Economic Association International, vol. 50(4), pages 1031-1049, October.
    10. Sutton, Robert I. & Neale, Margaret A. & Owens, David, 2000. "Technologies of Status Negotiation: Status Dynamics in Email Discussion Groups," Research Papers 1612, Stanford University, Graduate School of Business.
    11. Madden, Gary & Savage, Scott J. & Tipping, Craig, 2001. "Understanding European Union international message telephone services demand," Information Economics and Policy, Elsevier, vol. 13(2), pages 127-136, June.
    12. Macauley, Molly K, 1998. "Allocation of Orbit and Spectrum Resources for Regional Communications: What's At Stake?," Journal of Law and Economics, University of Chicago Press, vol. 41(2), pages 737-764, October.
    13. Manuel Ángel Abdala & José Luis Arrufat & Rinaldo Colome, 1996. "Elasticidades de Demanda de Servicio Telefónico Básico en Argentina," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 33(100), pages 397-424.
    14. Malone, Thomas W. & Management in the 1990s (Program), 2003. "Intelligent information sharing systems," Working papers no. 147, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    15. Rudolph, Jenny & Hatakenaka, Sachi & Carroll, John S., 2002. "Organizational Learning from Experience in High-Hazard Industries: Problem Investigation as Off-Line Reflective Practice," Working papers 4359-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    16. Mirucki, Jean, 1980. "Comportement de l'entreprise réglementée: étude de l'hypothèse Averch-Johnson [Behavior of the Regulated Firm: A Study of the Averch-Johnson Hypothesis]," MPRA Paper 27669, University Library of Munich, Germany, revised 1982.
    17. R. A. Bailey, 2007. "Designs for two‐colour microarray experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(4), pages 365-394, August.
    18. Samuel Nunn, 1994. "How capital technologies affect municipal service outcomes: The case of police mobile digital terminals and stolen vehicle recoveries," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 13(3), pages 539-559.
    19. Harvey S. James, 2003. "The effect of trust on public support for biotechnology: Evidence from the U.S. Biotechnology Study, 1997-1998," Agribusiness, John Wiley & Sons, Ltd., vol. 19(2), pages 155-168.
    20. Ingwer Borg & James Lingoes, 1980. "A model and algorithm for multidimensional scaling with external constraints on the distances," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 25-38, March.

    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:japsta:v:34:y:2007:i:1:p:61-70. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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/CJAS20 .

    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.