Characterization of Balanced Fractional 3 m Factorial Designs of Resolution III |
| |
| Authors: | Hiromu Yumiba Yoshifumi Hyodo |
| |
| Institution: | 1. International Institute for Natural Sciences , Kurashiki , Japan yumiba@edu.kake.ac.jp;3. International Institute for Natural Sciences , Kurashiki , Japan;4. Graduate School of Informatics, Okayama University of Science , Okayama , Japan |
| |
| Abstract: | We consider a fractional 3 m factorial design derived from a simple array (SA), which is a balanced array of full strength, where the non negligible factorial effects are the general mean and the linear and quadratic components of the main effect, and m ≥ 2. In this article, we give a necessary and sufficient condition for an SA to be a balanced fractional 3 m factorial design of resolution III. Such a design is characterized by the suffixes of indices of an SA. |
| |
| Keywords: | BFF design Factorial effect MDR Resolution SA |
|
|
