The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

Written by pioneers in this exciting new field, Algebraic Statistics introduces the application
of polynomial algebra to experimental design, discrete probability, and statistics. It begins …

Factorial designs are widely used in many scientific and industrial investigations. The
objective of this book is to provide a rigorous, systematic, and up-to-date treatment of the …

Algebraic statistics is a rapidly develo** field, where ideas from statistics and algebra
meet and stimulate new research directions. One of the origins of algebraic statistics is the …

Factorial designs have broad applications in agricultural, engineering and scientific studies.
In constructing and studying properties of factorial designs, traditional design theory treats …

Supervised regression/classification methods learn a model of relation between the target
vectors yi i= 1 N {y_i\} _ i= 1^ N and the corresponding input vectors xi i= 1 N {x _i\} _ i= 1^ N …

A two-level factorial design can be uniquely represented by a polynomial indicator function.
Therefore, properties of factorial designs can be studied through their indicator functions …

This article considers optimal foldover plans for nonregular designs. By using the indicator
function, we define words with fractional lengths. The extended word-length pattern is then …

In a general fractional factorial design, the n levels of a factor are coded by the nth roots of
the unity. This device allows a full generalization to mixed-level designs of the theory of the …

Gröbner bases and statistics Page 189 Gröbner Bases and Statistics Lorenzo Robbiano 1
Abstract This survey describes how to use methods of Algebraic Geometry and Commutative …