Colloquium Biometricum

Vol: 30 Page: 149

Authors:

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

Language: Polish

Keywords:

binary balanced incomplete block design

ternary balanced block design

chemical balance weighing design

Summary:
The paper studied the problem of estimation of the weights of p=v+1 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 conditions that estimates of weight are uncorrelated are given.