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A Review of Literature relating to Optimum Chemical Balance Weighing Designs

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Author Affiliations

  • 1Dept. of Statistics, Govt. Holkar Science College, Indore, INDIA
  • 2School of Statistics, D.A.V.V., Indore, INDIA

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (7), Pages 13-23, August,12 (2013)

Abstract

The weighing problem originated in a casual illustration furnished by Yates. This illustration later led to a precise formulation of the weighing problem by Hotelling. Over the years the problem has attained a distinctive growth, has branched out in different directions, and has acquired meanwhile the status of a problem in the design of experiments. Many statisticians were thoroughly studied the problem of construction of weighing designs. The weighing problem originally considered by Yates and Hotelling, is concerned with finding the weights of 'v' objects in 'n' weighing operations. In the latter developments, attention has been in the direction of obtaining "optimum weighing designs' i.e. the design in which each of estimated weights attains the minimum. The optimality has been determined by means of "efficiency". A good quality of work has been done on the problem of determining optimal designs in terms of the A-, D- and E-optimality criteria. In recent years there has been very rapid development in this area of experimental design. This paper presents a review of the available literature on optimum chemical balance weighing design and its construction.

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