Neighbour Balanced Block Designs for Correlated Errors
论文考虑误差在区组内相关(一阶自回归过程)的简单区组模型,证明Gill & Shukla(1985)确定的二元等重复设计在正相关下对所有可能设计最优,且邻域平衡设计普遍高效。
The paper considers a simple block model and assumes that the errors within the blocks are correlated, following a stationary first-order autoregressive process. Gill & Shukla (1985) consider this model, but they restrict the set of the competing designs to a small subset of the possible designs, the binary and equireplicate designs. In the present paper we show that the designs determined by Gill & Shukla are optimal over all possible designs for positive correlations and that neighbour balanced designs in general are highly efficient.