Skip to main content

Optimal additions to and deletions from two-level orthogonal arrays

Buy Article:

$51.00 plus tax (Refund Policy)



Consider the problem of selecting a two-level factorial design. It is well known that two-level orthogonal arrays of strength 4 or more with e extra runs have various optimality properties including generalized Cheng (type 1) optimality when e=1, restricted Cheng (type 1) optimality when e=2 and E-optimality when 3e5. More general Schur optimality results are derived for more general values of e within the more restricted class of augmented two-level orthogonal arrays. Similar results are derived for the class of orthogonal arrays with deletions. Examples are used to illustrate the results and in many cases the designs are confirmed to be optimal across all two-level designs.

Keywords: A-optimal designs; D-optimal designs; Defining contrasts; Fractional factorial; Majorization; Regular design; Second-order model

Document Type: Research Article


Affiliations: 1: University of Nottingham, UK 2: Colegio de Postgraduados, Córdoba, Mexico

Publication date: 2007-02-01

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more