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Weighing Designs

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Book cover Theory of Optimal Designs

Part of the book series: Lecture Notes in Statistics ((LNS,volume 54))

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Abstract

So far we have presented various theoretical aspects of optimality studies in the set-up of traditional experimental designs. A completely different field of study where optimality considerations have experienced surprisingly distinctive growth in its own merit is the study of weighing problem which originated in a casual illustration furnished by Yates (1935). The precise formulation of such problems is to be found in Hotelling (1944). Over the past forty years, various aspects of such problems have been so extensively studied that this topic has already attained the status of weighing designs in design of experiments. Raghavarao (1971) has provided a fairly complete account of the basic results available in this area. Banerjee (1975) has introduced the subject matter in general terms to research workers in applied sciences.

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Authors and Affiliations

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

    Kirti R. Shah

  2. Stat-Math Division, Indian Statistical Institute, 203 B.T. Road, 700035, Calcutta, India

    Bikas K. Sinha

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  1. Kirti R. Shah
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  2. Bikas K. Sinha
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© 1989 Springer-Verlag Berlin Heidelberg

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Shah, K.R., Sinha, B.K. (1989). Weighing Designs. In: Theory of Optimal Designs. Lecture Notes in Statistics, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3662-7_8

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  • DOI: https://doi.org/10.1007/978-1-4612-3662-7_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96991-6

  • Online ISBN: 978-1-4612-3662-7

  • eBook Packages: Springer Book Archive

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