Colloquium Biometricum

Vol: 32 Page: 103

Authors:

Title:
Chemical balance weighing designs for v+1 objects based on ternary balanced block designs for v objects

Language: English

Keywords:

chemical balance weighing design

ternary balanced block design

Summary:
The paper studies the problem of estimation of the weights of p 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 right and left pan, respectively. The incidence matrices of two ternary balanced block designs for v treatments are used to construct chemical balance weighing designs of p=v+1 objects. The conditions for uncorrelated estimates of unknown weights are given.