Optimal Structure (k) Designs for Comparing Test Treatments with a Control
- 10.2991/jsta.2017.16.1.8How to use a DOI?
- Factorial design; hypercubic design; R-type structure designs; A-optimality; MV-optimality; trace optimality.
Mukerjee (1979) introduced structure (k) property of a factorial design. In this article, we introduce structure (k1), structure (k2) and structure (k1k2) properties of a factorial design. We establish properties of each of these structure designs in terms of the incidence and characteristic matrices of the designs. Furthermore, we develop methods of obtaining optimal R-type structure (k) designs and show that such designs are trace, A- and MV-optimal. The proposed methodologies are easy to follow and the construction of the designs comes out in a simple form.
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M.A. Chowdhury AU - S. Mandal AU - D.K. Ghosh AU - S.C. Bagui PY - 2017 DA - 2017/03/01 TI - Optimal Structure (k) Designs for Comparing Test Treatments with a Control JO - Journal of Statistical Theory and Applications SP - 96 EP - 107 VL - 16 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2017.16.1.8 DO - 10.2991/jsta.2017.16.1.8 ID - Chowdhury2017 ER -