Volume 19, Issue 2, June 2020, Pages 314 - 324
Construction of Some Circular Regular Graph Designs in Blocks of Size Four Using Cyclic Shifts
Corresponding Author
Rashid Ahmed
Received 3 January 2018, Accepted 16 March 2020, Available Online 6 July 2020.
- DOI
- 10.2991/jsta.d.200423.001How to use a DOI?
- Keywords
- Balanced incomplete block designs; Block designs; Partially balanced incomplete block designs; Regular graph designs
- Abstract
Circular regular graph designs play an important role in the design of experiments where most of the balanced incomplete block designs require a large number of blocks. In this article, circular regular graph designs are constructed in blocks of size four through cyclic shifts. Without studying the complete design, some standard properties of the designs can be observed only through the sets of shifts. Therefore, method of cyclic shifts has an edge over existing methods.
- Copyright
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Rashid Ahmed AU - Farrukh Shehzad AU - Muhammad Jamil AU - H. M. Kashif Rasheed PY - 2020 DA - 2020/07/06 TI - Construction of Some Circular Regular Graph Designs in Blocks of Size Four Using Cyclic Shifts JO - Journal of Statistical Theory and Applications SP - 314 EP - 324 VL - 19 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200423.001 DO - 10.2991/jsta.d.200423.001 ID - Ahmed2020 ER -