Weighing Designs

  • Kirti R. Shah
  • Bikas K. Sinha
Part of the Lecture Notes in Statistics book series (LNS, volume 54)


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.


Design Matrix Information Matrix Chemical Balance Design Matrice Hadamard Matrice 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Kirti R. Shah
    • 1
  • Bikas K. Sinha
    • 2
  1. 1.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada
  2. 2.Stat-Math DivisionIndian Statistical InstituteCalcuttaIndia

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