Locally D-optimal Design for Sigmoid Model with Four Parameters.
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| Title: | Locally D-optimal Design for Sigmoid Model with Four Parameters. |
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| Authors: | Widiharih, Tatik1 widiharih@live.undip.ac.id, Suparti1 suparti@live.undip.ac.id, Abdul Mukid, Moch.2 mamukid@live.undip.ac.id |
| Source: | IAENG International Journal of Applied Mathematics. Jun2025, Vol. 55 Issue 6, p1903-1908. 6p. |
| Subjects: | Chebyshev systems, Checks |
| Abstract: | Locally D-optimal design for a sigmoid model with four parameters is investigated. D-optimal criterion refers to the Generalized Equivalence Theorem of Kiefer Wolfowitz. Determining whether the design is minimally supported design based on the number of roots of the Tchebycheff system. This is done by checking the pattern of the standardized variance function curve whether the maximum value is equal to the number of parameters and occurring at the design points.Tchebycheff system and its properties are the main tools to create D-optimal design. The result in this paper for design region [a, b], the design is minimally supported and the design points are a, b, and two others are interior points of [a, b]. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 185633673 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Locally D-optimal Design for Sigmoid Model with Four Parameters. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Widiharih%2C+Tatik%22">Widiharih, Tatik</searchLink><relatesTo>1</relatesTo><i> widiharih@live.undip.ac.id</i><br /><searchLink fieldCode="AR" term="%22Suparti%22">Suparti</searchLink><relatesTo>1</relatesTo><i> suparti@live.undip.ac.id</i><br /><searchLink fieldCode="AR" term="%22Abdul+Mukid%2C+Moch%2E%22">Abdul Mukid, Moch.</searchLink><relatesTo>2</relatesTo><i> mamukid@live.undip.ac.id</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2025, Vol. 55 Issue 6, p1903-1908. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Chebyshev+systems%22">Chebyshev systems</searchLink><br /><searchLink fieldCode="DE" term="%22Checks%22">Checks</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Locally D-optimal design for a sigmoid model with four parameters is investigated. D-optimal criterion refers to the Generalized Equivalence Theorem of Kiefer Wolfowitz. Determining whether the design is minimally supported design based on the number of roots of the Tchebycheff system. This is done by checking the pattern of the standardized variance function curve whether the maximum value is equal to the number of parameters and occurring at the design points.Tchebycheff system and its properties are the main tools to create D-optimal design. The result in this paper for design region [a, b], the design is minimally supported and the design points are a, b, and two others are interior points of [a, b]. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1903 Subjects: – SubjectFull: Chebyshev systems Type: general – SubjectFull: Checks Type: general Titles: – TitleFull: Locally D-optimal Design for Sigmoid Model with Four Parameters. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Widiharih, Tatik – PersonEntity: Name: NameFull: Suparti – PersonEntity: Name: NameFull: Abdul Mukid, Moch. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 6 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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