Fraction of design space plots for evaluating orthogonal composite designs

Abimibola Victoria Oladugba, Brenda Mbouamba Yankam and Uchenna Charity Onwuamaeze

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 20, 7405-7416

Abstract: In this paper, the stability of the prediction variance of orthogonal composite designs (orthogonal array composite, orthogonal array composite minimax loss, orthogonal uniform composite and orthogonal uniform composite minimax loss designs) was evaluated and compared for 3≤k≤6 using the fraction of design space plot in the hypersphere and hypercube regions. These designs were shown to have stable and consistent scaled prediction variance (SPV) throughout the design region. The orthogonal array composite minimax loss designs performed better with the least SPV than the other orthogonal composite designs for most factors in the hypersphere region. Also, the orthogonal array composite designs performed better in the hypercube region compared to other competing designs.

Date: 2024
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DOI: 10.1080/03610926.2023.2264993

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