Efficiency of Nearest Neighbour Balanced Block Designs for Second Order Correlated Error Structure

Block Designs with Neighbour Effects

Abstract: Experiments in agriculture, horticulture, and forestry often show neighbour effects, that is the response on a given plot is affected by the treatments on neighbouring plot as well as by the treatment applied to that plot. When treatments are varieties, neighbour effects may be caused by differences in height, root vigor, or germination date, especially on small plots. As a result, th...

On the construction of complete and partial nearest neighbour balanced designs

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 to give a new family of nearest neighbour balanced designs. Both nearest neighbour balanced designs with and without borders are constructed. A method of construction of a class of partial nearest neighbour balanced (PNN...

Computer Aided First- and Second-Order Triangular Balanced Designs

Veevers and Boffey [1] identified 12 elementary balanced arrays. Zafar-Yab [2] confirmed the results of Veevers and Boffey [1] and investigated that among those 12 arrays, six arrays are unique and the other six are their associate partners. In this paper, there are 54 isomorphic classes containing 43-hills. Among these arrays 12 are vertically self-buildable arrays, after suitably augmentation...

Splitting balanced incomplete block designs

Optimal Cylindrical-block Designs for Correlated Observations

This paper addresses the problem of characterizations and constructions of optimal and efficient two-dimensional designs for generalized least squares estimation of treatment contrasts when the errors are correlated. Universally optimal designs are obtained when the plots of each block are on a cylinder and the errors follow the three parameter autonormal process on the cylinder. Efficiencies o...