A-Efficient block designs for comparing two disjoint sets of treatments

Abstract

This article studies an experimental setting in which it is desired to compare v₁ test treatments with v₂ sun control treatments via bk experimental units arranged in b blocks of size k each. Under this setting some sufficient conditions are obtained to establish the A-optimality of designs for making test treatments -control treatments comparisons. Some general methods of construction of variance balanced designs for making test treatments-control treatments comparisons are given. The A-efficiencies of the designs constructed is investigated. A table of some designs for two control treatments alongwith their A-efficiencies is prepared.

Keywords:

• Balanced
• bipartite block designs
• PB1B designs
• BTIB designs
• A-efficiency

Additional information

Notes on contributors

V. K. Gupta