Optimality of some circular balanced block designs under interference model with compound symmetry correlation
نویسندگان
1 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
2 Department of Computer Science and Statistics, Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
doi
10.22034/jsmta.2023.3380چکیده
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.
