Equitable $(d,m)$-edge designs

Jean-Marc Fédou (1) , Maria João Rendas (2)

1 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe MC3
2 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe SYSTEMES

The paper addresses design of experiments for classifying the input factors of a multi-variate function into negligible, linear and other (non-linear/interaction) factors. We give constructive procedures for completing the definition of the clustered designs proposed Morris 1991, that become defined for arbitrary number of input factors and desired clusters' multiplicity. Our work is based on a representation of subgraphs of the hyper-cube by polynomials that allows the formal verification of the designs' properties. Ability to generate these designs in a systematic manner opens new perspectives for the characterisation of the behaviour of the function's derivatives over the input space that may offer increased discrimination.

Mots clés: Sensitivity analysis; clustered designs; one at a time designs

Domaines: Méthodologie [stat.ME]

Jean-Marc Fédou, Maria João Rendas. Equitable $(d,m)$-edge designs. 2013. ⟨hal-01318800⟩