Understanding Aliasing Using Gröbner Bases
Giovanni Pistone, Eva Riccomagno, Henry P. Wynn · Contributions to statistics · 2001
The now well-established Gröbner basis method in experimental design (see the authors’ monograph “Algebraic Statistics”) had the understanding of aliasing as a key motivation. The basic method asks: given an experimental design, what is estimable, or more generally what is the alias structure? The paper addresses the following related question: given a set of conditions which the design is known to satisfy, what can we say about the alias structure? Some classical and non-classical construction methods are included.