D-Optimal Design for a Five-Parameter Logistic Model

  • Zorayr Manukyan
  • William F. Rosenberger
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


We explore the D-optimal design for a five-parameter logistic model, which includes a shape parameter to handle asymmetries, and two threshold parameters to account for situations where the asymptotes are not at 0 and 1. The optimal design is five points, including points at -∞ and ∞ representing the thresholds. We compare the efficiencies of the optimal designs arising from the two- and five- parameter models. We find a significant loss of efficiency when the two-parameter model is used on data generated from the five-parameter model.


Optimal Design Information Matrix Directional Derivative Markov Chain Monte Carlo Method Optimal Design Point 
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The authors thank two excellent referees for their detailed comments. One of the referees found a major mistake, and the authors are deeply appreciative.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.The EMMES CorporationRockvilleUSA
  2. 2.Department of StatisticsGeorge Mason UniversityFairfaxUSA

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