Abstract
Pistone and Wynn (1996) introduced the idea of Gröbner bases into the design of experiments. This allows the study of “generalised confounding” in non-standard situations, that is for non-standard designs which arise in a number of situations. They were also able to study classical designs such as Plackett-Burman designs from this same view-point.
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References
Pistone, G., Wynn, H. (1996). Generalised confounding with Gröbner bases. Biometrika, 83(3):653–666.
Caboara, M. and Pistone, G. and Riccomagno, E. and Wynn, H.P. (In progress). Generalised confounding II: the fan of an experimental design.
Cox, D., Little, J., O’Shea, D. (1992). Ideal, Varieties, and Algorithms. Springer-Verlag, New York.
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© 1997 Springer-Verlag Berlin Heidelberg
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Riccomagno, E., Wynn, H.P. (1997). Computational Algebraic Geometry in Industrial Experimental Design. In: Kitsos, C.P., Edler, L. (eds) Industrial Statistics. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-59268-3_16
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DOI: https://doi.org/10.1007/978-3-642-59268-3_16
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1042-4
Online ISBN: 978-3-642-59268-3
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