Colloquium Biometricum

Vol: 30 Page: 55

Authors:

Title:
The construction of chemical balanced weighing designs based on binary and ternary balanced incomplete block designs

Language: Polish

Keywords:

binary balanced incomplete block design

chemical balance weighing design

ternary balanced incomplete block design

Summary:
The paper studied the problem of estimation of the weight of p=v objects in n weighings using a chemical balance weighing design under the restriction p₁+p₂<p, where p₁ and p₂ represent the number of objects placed on the left and right pans, respectively. The incidence matrices of binary and ternary balanced incomplete block designs for objects are used to construct chemical balance weighing designs. The condition about uncorrelated estimates of weight is given.