Optimality of some circular balanced block designs under interference model with compound symmetry correlation

For the interference models‎, ‎the assumption is often made that the size of the blocks (k) is not greater than the number of treatments (t)‎. ‎Typically‎, ‎it is difficult to specify optimal block designs theoretically or algorithmically when k> t. ‎In this article‎, ‎we focus on a one-sided interference model with compound symmetry correlation for the observations and obtain universally optimal block designs for both cases k≤ t and k>t. ‎We present some methods for constructing these optimal designs for various numbers of treatments and block sizes.

کلیدواژه ها:

Circular block design ، Compound symmetry structure ، Interference model ، neighbor balanced design ، Universal optimality