Although widely used in science and technology for experimental data generating,
modeling, and optimization, the response surface methodology (RSM) has many limitations …

In field trials, which contain a large number of treatments, growing conditions may be quite
variable throughout the experimental site. This leads to the phenomenon known as spatial …

Interference models are commonly used in agriculture, industry, and other related fields.
Optimal designs for these models are important topics in block designs. In this work, we …

In many applications of block designs, the responses of plots are affected by treatments in
neighbouring plots. What makes it more complicated is the border effect on the two edge …

Publisher Summary This chapter focuses on spatial experimental design. The statistical
theory of experimental design is concerned with obtaining as much information as possible …

A recent paper (Martin and Eccleston, J. Statist. Plann. Inference 28, 1991) considers block
designs when the plots within a block are linearly arranged, and observations within a block …

In block designs, the responses of plots are potentially influenced by the treatments of
neighbouring plots and the surrounding environment. Many researchers use two guarding …

In this paper, methods for constructing two dimensional nearest neighbour balanced (NNB)
designs are considered. The methods given by Afsarinejad and Seeger (1988) are extended …

Two-dimensional block designs, with block size p× 2 for v treatments, are studied for
situations in which the errors are spatially correlated. Conditions for universal optimality are …

Optimal row-column design for two treatments is investigated for settings where the
observations are positively correlated. Universally optimal designs for generalized least …