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E-optimal designs for the Michaelis-Menten model

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  • Dette, Holger
  • Wong, Weng Kee

Abstract

We construct locally E-optimal designs for the two parameter Michaelis-Menten model under various assumptions on the error structure. Illustrative examples are given and the performance of these designs are compared with D-optimal designs.

Suggested Citation

  • Dette, Holger & Wong, Weng Kee, 1999. "E-optimal designs for the Michaelis-Menten model," Statistics & Probability Letters, Elsevier, vol. 44(4), pages 405-408, October.
    • Handle: RePEc:eee:stapro:v:44:y:1999:i:4:p:405-408
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    Citations

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    Cited by:

    1. Wong, Weng Kee & Melas, Viatcheslav B. & Dette, Holger, 2004. "Optimal design for goodness-of-fit of the Michaelis-Menten enzyme kinetic function," Technical Reports 2004,24, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Chang Li & Daniel C. Coster, 2022. "Improved Particle Swarm Optimization Algorithms for Optimal Designs with Various Decision Criteria," Mathematics, MDPI, vol. 10(13), pages 1-16, July.
    3. Holger Dette & Viatcheslav Melas & Andrey Pepelyshev, 2006. "Local c- and E-optimal Designs for Exponential Regression Models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 407-426, June.
    4. Sahu, Nitesh & Babu, Prabhu, 2021. "A new monotonic algorithm for the E-optimal experiment design problem," Statistics & Probability Letters, Elsevier, vol. 174(C).
    5. Dette, Holger & Melas, Viatcheslav B. & Strigul, Nikolay, 2003. "Design of experiments for microbiological models," Technical Reports 2003,41, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    6. Masoudi, Ehsan & Holling, Heinz & Wong, Weng Kee, 2017. "Application of imperialist competitive algorithm to find minimax and standardized maximin optimal designs," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 330-345.
    7. Mandal, Nripes Kumar & Pal, Manisha, 2013. "Maximin designs for the detection of synergistic effects," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1632-1637.

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