Gröbner basis methods for structuring and analysing complex industrial experiments

G. Pistone, E. Riccomagno, H.P. Wynn

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    This work extends the research program of the authors into the design and analysis of complex experiments. It shows how the special algebraic structures studied in the polynomial ring algebra and Gröbner basis environment can be exploited for situations in which there is blocking, nesting, crossing and so on, or where groups of factors are "favoured" over others. The connection is made between the Gröbner basis methods and the more classical symbolic formalism associated, for example, with Generalised Linear Model packages, such as S-Plus and Glim. Examples are given from physical experiments in engine mapping.
    Original languageEnglish
    Pages (from-to)285-300
    JournalInternational Journal of Reliability, Quality and Safety Engineering
    Volume7
    Issue number4
    DOIs
    Publication statusPublished - 2000

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