Archivio Istituzionale della RicercaWe generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a collection of OAs which belong to an inclusion-minimal set of OAs. We derive a formula for computing the (Generalized) Word Length Pattern of a union of OAs that makes use of their polynomial counting functions. The best OAs according to the Generalized Minimum Aberration criterion can thereby be found simply by exploring a relatively small set of counting functions. The classes of OAs with 5 binary factors, strength 2, and sizes 16 and 20 are fully described.
Unions of Orthogonal Arrays and Their Aberrations via Hilbert Bases / Fontana, Roberto; Rapallo, Fabio. - 288:(2019), pp. 421-434. (Intervento presentato al convegno SIS Conference on Statistics and Data Science: new challenges, new generations tenutosi a Florence (Ita) nel 28 June 2017 through 30 June 2017) [10.1007/978-3-030-21158-5_31].
Unions of Orthogonal Arrays and Their Aberrations via Hilbert Bases
Fontana, Roberto;Rapallo, Fabio
2019
Abstract
We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a collection of OAs which belong to an inclusion-minimal set of OAs. We derive a formula for computing the (Generalized) Word Length Pattern of a union of OAs that makes use of their polynomial counting functions. The best OAs according to the Generalized Minimum Aberration criterion can thereby be found simply by exploring a relatively small set of counting functions. The classes of OAs with 5 binary factors, strength 2, and sizes 16 and 20 are fully described.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2751406
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo