-invariance faible et isovariance en planification expérimentale

Abstract: In this Note, we state a polynomial characterization of weakly invariant designs and show how to derive the construction of weakly invariant designs for the action of a compact group of matrices on an experimental domain, whose interior is not empty, from the construction of rotatable designs. As a consequence, it enables us to search for weakly invariant designs using techniques coming from computational commutative algebra and to benefit from the cumulated knowledge of rotatable designs which have been intensively studied since the seminal paper of Box and Hunter. To cite this article: F. Bertrand, C. R. Acad. Sci. Paris, Ser. I 347 (2009). [Copyright &y& Elsevier]