Details

Autor(en) / Beteiligte

• Wiens, Douglas P.

Titel

Jittering and clustering: strategies for the construction of robust designs

Ist Teil von

• Statistics and computing, 2024-08, Vol.34 (4), Article 129

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2024

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We discuss, and give examples of, methods for randomly implementing some minimax robust designs from the literature. These have the advantage, over their deterministic counterparts, of having bounded maximum loss in large and very rich neighbourhoods of the, almost certainly inexact, response model fitted by the experimenter. Their maximum loss rivals that of the theoretically best possible, but not implementable, minimax designs. The procedures are then extended to more general robust designs. For two-dimensional designs we sample from contractions of Voronoi tessellations, generated by selected basis points, which partition the design space. These ideas are then extended to k -dimensional designs for general k .