Advanced Search
MyIDEAS: Login

Orthogonal blocking of regular and nonregular strength-3 designs

Contents:

Author Info

  • SARTONO, Bagus
  • GOOS, Peter
  • SCHOEN, Eric D.

Abstract

There is currently no general approach to orthogonally block two-level and multi-level orthogonal arrays and mixed-level orthogonal arrays. In this article, we present a mixed integer linear programming approach that seeks an optimal blocking arrangement for any type of regular and nonregular orthogonal array of strength 3. The strengths of the approach are that it is an exact optimization technique which guarantees an optimal solution, and that it can be applied to many problems where combinatorial methods for blocking orthogonal arrays cannot be used. By means of 54- and 64-run examples, we demonstrate that the mixed integer linear programming approach outperforms two benchmark techniques in terms of the number of estimable two-factor interaction contrasts. We demonstrate the generality of our approach by applying it to the most challenging instances in the catalog of all orthogonal arrays of strength 3 with up to 81 runs. Finally, we show that, for two-level fold-over designs involving many factors, the only way to arrange the runs in orthogonal blocks of size four is by grouping two pairs of fold-over pairs in each of the blocks.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: https://www.uantwerpen.be/images/uantwerpen/container1244/files/TEW%20-%20Onderzoek/Working%20Papers/RPS/2012/RPS-2012-026.pdf
Download Restriction: no

Bibliographic Info

Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2012026.

as in new window
Length: 33 pages
Date of creation: Nov 2012
Date of revision:
Handle: RePEc:ant:wpaper:2012026

Contact details of provider:
Postal: Prinsstraat 13, B-2000 Antwerpen
Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
More information through EDIRC

Related research

Keywords: Aliasing; Confounding; Mixed integer linear programming; Mixed-level orthogonal array; Multi-level orthogonal array; Orthogonal blocking; Pure-level orthogonal array; Two-level orthogonal array;

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:ant:wpaper:2012026. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joeri Nys).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.