Year: 2025
Type: article
Abstract: Ordinal response data are quite common in scientific experiments, and finding the optimal design for them is a challenging task.Adjacent-category models are widely used to model ordinal response data.In this paper, we study the D-optimal designs of adjacent-categories models with general link functions concerning both quantitative and qualitative factors.Some structure characteristics, including the number of support points and a simple complete class of the locally D-optimal design, are derived.Utilizing the obtained structure characteristics, an efficient algorithm is proposed to search out corresponding D-optimal designs.The integer-valued allocations for the corresponding D-optimal design are further discussed for practical implementation.Numerical examples show the advantages of the proposed design in both statistical efficiency and computational time.
Source: Statistica Sinica
Authors: Huiping Dang, Jun Yu, Fasheng Sun
Institutions: Beijing Institute of Technology, Northeast Normal University
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: bronze
Awards: G1675342203, G5164540766, G7215518276
OpenAlex ID: W4414737610
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