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.
Titolo: | Families of estimable terms |
Autori interni: | |
Anno del prodotto: | 2001 |
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. |
Handle: | http://hdl.handle.net/11568/191409 |
ISBN: | 1581134177 |
Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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