Construction of new skew Hadamard matrices and their use in screening experiments

Abstract

Screening experiments aim to identify the relevant variables within some process potentially depending on a large number of variables. Recently a new class of experimental designs called edge designs has been introduced. These designs allow a model-independent estimate of the set of relevant variables, thus providing more robustness than traditional designs. Some new skew Hadamard matrices of order 36 are constructed and used to produce new edge designs. An illustrative simulated example using an edge design in 70 runs is also presented.