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.
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]
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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]
ISSN:19929978