Chapter

Approximate Commutative Algebra

Part of the series Texts and Monographs in Symbolic Computation pp 193-203

Date:

An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint

  • Eva RiccomagnoAffiliated withDipartimento di Matematica Email author 
  • , Henry P. WynnAffiliated withDepartment of Statistics, London School of Economics

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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.