{
  "abstract": "The aim of this paper is to study the D-optimal m1×m2×m3, m3≥m2≥m1≥2 saturated factorial designs for estimating the mean and the main effects. A restricted class D of m1×m2×m3 saturated designs is defined. In this class, the upper bounds of the determinant values of D-optimal matrices for the already known 2×m2×m3, m3≥m2≥2, 3×m2×m2, m2≥3, 3×m2×(m2+1), m2≥3 and for 4×4×m3, m3≥4 saturated designs are found. New results regarding the determinant values of D-optimal matrices and the designs achieving them are presented for the 4×5×m3, m3≥5 and 4×6×m3, m3≥6 saturated factorial designs in D.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Statistics, School of Economic Sciences, University of Western Macedonia, 51100 Grevena, Greece"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Stavros A. Chatzopoulos",
      "orcid": "0000-0001-9488-1811"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7gd3ya9hc1hwc.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213987",
  "fulltext_url": null,
  "id": "7gd3ya9hc1hwc",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3987",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/7gd3ya9hc1hwc.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T00:23:28Z",
      "native_id": "10.3390/math14213987",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3987"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "D-Optimal Saturated Factorial Designs with Three Factors",
  "title_text": "D-Optimal Saturated Factorial Designs with Three Factors",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T00:20:49Z",
  "url": "https://research.draconitic.com/paper/7gd3ya9hc1hwc",
  "venue": "Mathematics",
  "versions": []
}