Abstract
There is a need to make a closer connection between classical response surface methods and their experimental design aspects, including optimal design, and algebraic statistics, based on computational algebraic geometry of ideals of points. This is a programme which was initiated by Pistone and Wynn (Biometrika, 1996) and is expanding rapidly. Particular attention is paid to the problem of errors in variables which can be taken as a statistical version of the ApCoA research programme.
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Acknowledgements
The authors are grateful to Professors M. P. Rogantin and A.V.Geramita for useful comments.
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Riccomagno, E., Wynn, H.P. (2009). An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint. In: Robbiano, L., Abbott, J. (eds) Approximate Commutative Algebra. Texts and Monographs in Symbolic Computation. Springer, Vienna. https://doi.org/10.1007/978-3-211-99314-9_7
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