Skip to main content
SpringerLink
Log in

Construction of D-optimal s1 × s2 × s3 factorial designs using graph theory

  • Published:
Metrika Aims and scope Submit manuscript

Abstract

In this paper, the maximum determinant of the associated 0-1 matrix in D-Optimal saturated main effect plans for 3× s_2 × s_3 factorials, is derived by the use of Graph theory and Combinatorics. The present work is related to a problem suggested by Chatterjee and Narasimhan (2002). Using the theoretical results, we also give the designs for s3≥s2 + 1.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Vassilis Karagiannis & Chronis Moyssiadis

Authors
  1. Vassilis Karagiannis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chronis Moyssiadis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vassilis Karagiannis.

Additional information

This research was supported by the State Scholarships Foundation of Greece.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karagiannis, V., Moyssiadis, C. Construction of D-optimal s1 × s2 × s3 factorial designs using graph theory. Metrika 62, 283–307 (2005). https://doi.org/10.1007/s00184-005-0414-z

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00184-005-0414-z

Keywords

Search

Navigation