In this paper we present a full solution to an open problem in Design of Experiments, a branch of Statistics, which can equally be seen as a problem in Algebraic Geometry. Given a complete set O of estimable terms, we are able to find all the fractions F of a full factorial design, such that Ō is a basis of P/I(F) as a K-vector space. This fact can be rephrased as a result in the theory of zero-dimensional schemes.
Families of estimable terms
CABOARA, MASSIMO;
2001-01-01
Abstract
In this paper we present a full solution to an open problem in Design of Experiments, a branch of Statistics, which can equally be seen as a problem in Algebraic Geometry. Given a complete set O of estimable terms, we are able to find all the fractions F of a full factorial design, such that Ō is a basis of P/I(F) as a K-vector space. This fact can be rephrased as a result in the theory of zero-dimensional schemes.File in questo prodotto:
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