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

Document Type : Original Scientific Paper

Authors

1 Department of Computer Science and Statistics‎, ‎Faculty of Mathematics‎, ‎K‎. ‎N‎. ‎Toosi University of Technology‎, ‎Tehran‎, ‎Iran

2 Department of Mathematical Sciences‎, ‎Isfahan University of Technology‎, ‎Isfahan‎, ‎Iran‎

Abstract

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.

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Journal of Statistical Modelling: Theory and Applications
Volume 4, Issue 1
January 2023
Pages 129-136

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History

  • Receive Date: 13 November 2023
  • Revise Date: 03 April 2024
  • Accept Date: 20 April 2024

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