The Generalized Word Count in Two-Level Fractional Factorial Designs

Fuente: arXiv
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Hauptverfasser: Zhou, Xietao, Gilmour, Steven G.
Format: Preprint
Veröffentlicht: 2025
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author Zhou, Xietao
Gilmour, Steven G.
author_facet Zhou, Xietao
Gilmour, Steven G.
contents Unreplicated two-level factorial designs are often used in screening experiments to determine which factors out of a large plausible set are active. A theorem regarding the generalized word count pattern is stated and proved for unreplicated designs. It is shown that a phenomenon regarding optimal designs seen in the recent literature can be explained by the theorem obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11609
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Generalized Word Count in Two-Level Fractional Factorial Designs
Zhou, Xietao
Gilmour, Steven G.
Methodology
Unreplicated two-level factorial designs are often used in screening experiments to determine which factors out of a large plausible set are active. A theorem regarding the generalized word count pattern is stated and proved for unreplicated designs. It is shown that a phenomenon regarding optimal designs seen in the recent literature can be explained by the theorem obtained.
title The Generalized Word Count in Two-Level Fractional Factorial Designs
topic Methodology
url https://arxiv.org/abs/2510.11609