Optimal Structure (k) Designs for Comparing Test Treatments with a Control

DOI

10.2991/jsta.2017.16.1.8How to use a DOI?

Keywords

Factorial design; hypercubic design; R-type structure designs; A-optimality; MV-optimality; trace optimality.

Abstract

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.

Copyright

© 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/).

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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  -