Construction of efficient classes of circular balanced repeated measurements designs with R

References

• Afsarinejad, K. 1994. Repeated measurements designs with unequal periods sizes. Journal of the Italian Statistical Society 3 (2):161–8. doi: 10.1007/BF02589224.
   Google Scholar
• Ahmed, R., F. Shehzad, M. Rajab, M. Daniyal, and M. H. Tahir. 2019. Minimal circular balanced repeated measurements designs in periods of unequal sizes. Communications in Statistics – Theory and Methods 48 (21):5223–32. doi: 10.1080/03610926.2018.1508719.
   Web of Science ®Google Scholar
• Bate, S. T., and B. Jones. 2008. A review of uniform cross-over designs. Journal of Statistical Planning and Inference 138 (2):336–51. doi: 10.1016/j.jspi.2007.06.008.
   Web of Science ®Google Scholar
• Cheng, C. S., and C. F. Wu. 1980. Balanced repeated measurements designs. The Annals of Statistics 8 (6):1272–83. doi: 10.1214/aos/1176345200.
   Web of Science ®Google Scholar
• Constantine, G., and A. Hedayat. 1982. A construction of repeated measurements designs balance for residual effects. Journal of Statistical Planning and Inference 6 (2):153–64. doi: 10.1016/0378-3758(82)90084-2.
   Web of Science ®Google Scholar
• Daniyal, M., R. Ahmed, F. Shehzad, M. H. Tahir, and Z. Iqbal. 2020. Construction of repeated measurements designs strongly balanced for residual effects. Communications in Statistics – Theory and Methods 49 (17):4288–97. doi: 10.1080/03610926.2019.1599019.
   Web of Science ®Google Scholar
• Divecha, J., and J. Gondaliya. 2014. Construction of minimal balanced cross over designs having good efficiency of separability. Electronic Journal of Statistics 8 (2):2923–36. doi: 10.1214/14-EJS979.
   Google Scholar
• Hedayat, A., and K. Afsarinejad. 1978. Repeated measurements designs, II. Annals of Statistics 6:619–28.
   Web of Science ®Google Scholar
• Houston, T. P. 1966. Sequential counterbalancing in Latin squares. The Annals of Mathematical Statistics 37 (3):741–3. doi: 10.1214/aoms/1177699474.
   Google Scholar
• Hussain, S., R. Ahmed, M. Aslam, A. Shah, and H. M. K. Rasheed. 2020. Some new construction of circular weakly balanced repeated measurements designs in periods of two different sizes. Communications in Statistics – Theory and Methods 49 (9):2253–63. doi: 10.1080/03610926.2019.1570263.
   Web of Science ®Google Scholar
• Iqbal, I., and M. H. Tahir. 2009. Circular strongly balanced repeated measurements designs. Communications in Statistics – Theory and Methods 38 (20):3686–96. doi: 10.1080/03610920802642566.
   Web of Science ®Google Scholar
• Iqbal, I., M. H. Tahir, and S. S. A. Ghazali. 2010. Circular first-and second-order balanced repeated measurements designs. Communications in Statistics – Theory and Methods 39 (2):228–40. doi: 10.1080/03610920902941728.
   Web of Science ®Google Scholar
• Iqbal, I. 1991. Construction of experimental designs using cyclic shifts. PhD thesis, University of Kent at Canterbury, UK.
   Google Scholar
• Jabeen, R., R. Ahmed, M. Sajjad, H. K. Rashid, and A. Khan. 2019b. Circular strongly partially-balanced repeated measurements designs in periods of two different sizes using method of cyclic shifts (Rule II). Journal of King Saud University – Science 31 (4):519–24. doi: 10.1016/j.jksus.2019.02.002.
   Web of Science ®Google Scholar
• Jabeen, R., H. M. K. Rasheed, R. Ahmed, and F. Shehzad. 2019a. Construction of circular strongly partially-balanced repeated measurements designs. Journal of King Saud University – Science 31 (3):345–51. doi: 10.1016/j.jksus.2018.03.014.
   Web of Science ®Google Scholar
• Khan, A., R. Ahmed, F. Shehzad, M. H. Tahir, and S. S. A. Ghazali. 2019. Construction of circular partially balanced repeated measurement designs. Communications in Statistics – Simulation and Computation 48 (2):506–15. doi: 10.1080/03610918.2017.1387661.
   Web of Science ®Google Scholar
• Khan, A. 2022. General constructions for some useful classes of minimal circular strongly balanced repeated measurements designs. PhD thesis, The Islamia University of Bahawalpur, Pakistan.
   Google Scholar
• Magda, C. G. 1980. Circular balanced repeated measurements designs. Communications in Statistics-Theory and Methods 9:1901–18.
   Web of Science ®Google Scholar
• Mendelsohn, N. S. 1968. Hamiltonian decomposition of the complete directed n-graph. In Theory of Graphs: Proceding of the Colloquium held in Tihany, Hungary, Ed. P. Erdos and G. Katona, 237–41. Amsterdam: North-Holland.
   Google Scholar
• Nazeer, Y., R. Ahmed, R. Jabeen, M. Daniyal, and M. H. Tahir. 2019. Circular strongly partially-balanced repeated measurements designs in periods of two different sizes. Journal of Probability and Statistical Science 17 (1):85–95.
   Google Scholar
• Rajab, M., R. Ahmed, F. Shehzad, and M. H. Tahir. 2018. Some new constructions of circular balanced repeated measurements designs. Communications in Statistics – Theory and Methods 47 (17):4142–51. doi: 10.1080/03610926.2017.1367817.
   Web of Science ®Google Scholar
• Rasheed, H. M. K. 2022. Some general constructions of minimal circular balanced and weakly balanced repeated measurements designs. PhD thesis, The Islamia University of Bahawalpur, Pakistan.
   Google Scholar
• Sharma, V. K., Y. Gharde, and C. Varghese. 2010. Minimal strongly balanced changeover designs with first residuals. African Journal of Mathematics and Computer Science Research 3 (9):195–8.
   Google Scholar
• Sharma, V. K., S. Jaggi, and C. Varghese. 2003. Minimal balanced repeated measurements designs. Journal of Applied Statistics 30 (8):867–72. doi: 10.1080/0266476032000075958.
   Web of Science ®Google Scholar
• Williams, E. R. 1949. Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Chemistry 2 (2):149–68. doi: 10.1071/CH9490149.
   Web of Science ®Google Scholar