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 O is a basis of P/I(F) as a K-vector space. This fact can be rephrased as a result in the theory of zem-dimensional schemes.
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Index Terms
- Families of estimable terms
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