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A procedure for finding an improved upper bound on the number of optimal design points


  • Hyun, Seung Won
  • Yang, Min
  • Flournoy, Nancy


Knowing an upper bound on the number of optimal design points greatly simplifies the search for an optimal design. Carathéodory’s Theorem is commonly used to identify an upper bound. However, the upper bound from Carathéodory’s Theorem is relatively loose when there are three or more parameters in the model. In this paper, an alternative approach of finding a sharper upper bound for classical optimality criteria is proposed. Examples are given to demonstrate how to use the new approach.

Suggested Citation

  • Hyun, Seung Won & Yang, Min & Flournoy, Nancy, 2013. "A procedure for finding an improved upper bound on the number of optimal design points," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 276-282.
  • Handle: RePEc:eee:csdana:v:58:y:2013:i:c:p:276-282
    DOI: 10.1016/j.csda.2012.08.012

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    References listed on IDEAS

    1. Gang Li & Dibyen Majumdar, 2009. "Some results on D-optimal designs for nonlinear models with applications," Biometrika, Biometrika Trust, vol. 96(2), pages 487-493.
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