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Topics in Optimal Design pp 127–155Cite as

Additional Selected Topics

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 163))

Abstract

Models: Competing effects model, split block model, nested model, 3-way classification model, Poisson count model Optimality criteria: Universal optimality (UO), A- D- and E-optimality Major tools: Complete symmetry and trace maximization [Kiefer’s Proposition 1] Optimality results: Characterization of UO designs in different settings Thrust: Diverse applications of UO and balancing

In this Chapter, we dwell on some design settings and present the underlying optimal designs, covering UO or specific optimality criteria viz., A-, D- and E-optimality. The purpose is to acquaint the readers with a variety of interesting and non-standard application areas of optimal designs. We specially mention (i) competing effects model, (ii) split block designs and (iii) models with heteroscedastic errors. In addition, (iv) nested designs and (v) 3-way balanced designs are also discussed.

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Authors and Affiliations

  1. Department of Statistics, Calcutta University, 35, B.C. Road, Calcutta, 700 019, India

    Nripes K. Mandal

  2. Department of Mathematics, Statistics, and Philosophy, University of Tampere, Kehruukoulunkatu 1, Tampere, 33014, Finland

    Erkki P. Liski

  3. Stat-Math Divison, Indian Statistical Institute, 203 Barrackpore Trunk Road, Calcutta, 700 035, India

    Bikas K. Sinha

  4. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Kirti R. Shah

Authors
  1. Erkki P. Liski
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  2. Nripes K. Mandal
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  3. Kirti R. Shah
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  4. Bikas K. Sinha
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© 2002 Springer Science+Business Media New York

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Liski, E.P., Mandal, N.K., Shah, K.R., Sinha, B.K. (2002). Additional Selected Topics. In: Topics in Optimal Design. Lecture Notes in Statistics, vol 163. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0049-6_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0049-6_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95348-9

  • Online ISBN: 978-1-4613-0049-6

  • eBook Packages: Springer Book Archive

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