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 G. Pistone and H. P. Wynn [Biometrika 83 (1996), no. 3, 653--666] 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.
An introduction to regression and errors in variables from an algebraic viewpoint.
RICCOMAGNO, EVA;
2009-01-01
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 G. Pistone and H. P. Wynn [Biometrika 83 (1996), no. 3, 653--666] 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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