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Families of estimable terms

Published:01 July 2001Publication History

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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        cover image ACM Conferences
        ISSAC '01: Proceedings of the 2001 international symposium on Symbolic and algebraic computation
        July 2001
        345 pages
        ISBN:1581134177
        DOI:10.1145/384101

        Copyright © 2001 ACM

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        Publication History

        • Published: 1 July 2001

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