WEIGHING DESIGNS AND METHODS OF CONSTRUCTION

Abstract: It is difficult to weigh the light objects by weighing balance accurately when measured individually. If several light objects are weighed in groups rather than individually then the precision of the estimates increases quite considerably. There are two types of balances one is chemical balance and other is spring balance. Spring balance is similar when only one pan of chemical balance is used for weighing. Accordingly, design used for weighing is called chemical balance (two pans) weighing design and spring balance (one pan) weighing design. Constructions of some optimal weighing designs, which minimize the variance of the estimated weight, using Hadamard matrices, balanced incomplete block designs and other methods are discussed under different situations