Groebner Bases and Statistics Lorenzo Robbiano The talk describes how to use methods of Algebraic Geometry and Commutative Algebra to study some problems arising in Design of Experiments (DoE), a branch of Statistics. In the history of DoE algebraic methods are not rare, so this kind of interaction falls into the category of natural events. Furthermore, it is now clear how strong is the influence of Computer Algebra methods in Commutative Algebra and Algebraic Geometry. From now on we can safely say that this influence extends into the realm of DoE.