Prof. Ching-Shui Cheng : Templates for Design Key Construction

Posted by Min Yang , part of the Statistics and Data Science Seminar.

At

Oct. 16, 2013, 4 p.m.

In

SEO 636

Abstract

Design key is a useful method of constructing factorial designs with what J. A. Nelder called simple block structures. One familiar method of constructing such designs is to use independent treatment factorial effects to divide the treatment combinations into blocks, rows, and columns, etc. Certain conditions need to be verified to ensure that the desired block structure is achieved. The method of design key, proposed by H. D. Patterson, on the other hand, guarantees the desired block structure by choosing some appropriate contrasts of the experimental units to be aliases of the main-effect contrasts of treatment factors. We provide some useful templates for implementing design key construction. Some constraints imposed by the block structure are built into the template. This eliminates the need to check some conditions for design eligibility.