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EnglishWe 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. - (2019), pp. 421-434. ((Intervento presentato al convegno SIS 2017: New Statistical Developments in Data Science.
| Titolo: | Unions of Orthogonal Arrays and Their Aberrations via Hilbert Bases |
| Autori: | |
| Data di pubblicazione: | 2019 |
| Abstract: | We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a co...llection 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. |
| ISBN: | 978-3-030-21158-5 |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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