Circular neighbor-balanced designs universally optimal for total effects.

Autor: Ai, Ming-yao, Ge, Gen-nian, Chan, Ling-yau
Zdroj: Science in China. Series A: Mathematics, Physics & Astronomy; Jun2007, Vol. 50 Issue 6, p821-828, 8p
Abstrakt: In many experiments, the performance of a subject may be affected by some previous treatments applied to it apart from the current treatment. This motivates the studies of the residual effects of the treatments in a block design. This paper shows that a circular block design neighborbalanced at distances up to γ ⩽ k − 1, where k is the block size, is universally optimal for total effects under the linear models containing the neighbor effects at distances up to γ among the class of all circular binary block designs. Some combinatorial approaches to constructing these circular block designs neighbor-balanced at distances up to k − 1 are provided. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index