Two-level D- and A-optimal designs of Ehlich type with run sizes three more than a multiple of four
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917168882384896 |
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| author | Hameed, Mohammed Saif Ismail Schoen, Eric D. Ares, Jose Nunez Goos, Peter |
| author_facet | Hameed, Mohammed Saif Ismail Schoen, Eric D. Ares, Jose Nunez Goos, Peter |
| contents | For the majority of run sizes N where N <= 20, the literature reports the best D- and A-optimal designs for the main-effects model which sequentially minimizes the aliasing between main effects and interaction effects and among interaction effects. The only series of run sizes for which all the minimally aliased D- and A-optimal main-effects designs remain unknown are those with run sizes three more than a multiple of four. To address this, in our paper, we propose an algorithm to generate all non-isomorphic D- and A-optimal main-effects designs for run sizes three more than a multiple of four. We enumerate all such designs for run sizes up to 19, report the numbers of designs we obtained, and identify those that minimize the aliasing between main effects and interaction effects and among interaction effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-level D- and A-optimal designs of Ehlich type with run sizes three more than a multiple of four Hameed, Mohammed Saif Ismail Schoen, Eric D. Ares, Jose Nunez Goos, Peter Methodology For the majority of run sizes N where N <= 20, the literature reports the best D- and A-optimal designs for the main-effects model which sequentially minimizes the aliasing between main effects and interaction effects and among interaction effects. The only series of run sizes for which all the minimally aliased D- and A-optimal main-effects designs remain unknown are those with run sizes three more than a multiple of four. To address this, in our paper, we propose an algorithm to generate all non-isomorphic D- and A-optimal main-effects designs for run sizes three more than a multiple of four. We enumerate all such designs for run sizes up to 19, report the numbers of designs we obtained, and identify those that minimize the aliasing between main effects and interaction effects and among interaction effects. |
| title | Two-level D- and A-optimal designs of Ehlich type with run sizes three more than a multiple of four |
| topic | Methodology |
| url | https://arxiv.org/abs/2512.21060 |