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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.11609 |
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| _version_ | 1866908589743931392 |
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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 |