162
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Minimal circular balanced repeated measurement designs in unequal period sizes

, , , & ORCID Icon
Pages 5223-5232 | Received 25 Aug 2017, Accepted 29 Jul 2018, Published online: 26 Oct 2018

References

  • Afsarinejad, K. 1990. Repeated measurements designs: A review. Communication in Statistics: Theory and Methods 19 (11):3985–4028.
  • Afsarinejad, K. 1994. Repeated measurements designs with unequal periods sizes. Journal of the Italian Statistical Society 3 (2):161–8.
  • Cheng, C. S., and C. F. Wu. 1980. Balanced repeated measurements designs. The Annals of Statistics 8 (6):1272–83.
  • Davis, A. W., and W. B. Hall. 1969. Cyclic change over designs. Biometrika 56 (2):283–93.
  • Hanford, K. 2005. Lecture notes on mixed models. United States: Springer.
  • Hedayat, A. S., and M. Yang. 2003. Universal optimality of balanced uniform crossover designs. The Annals of Statistics 31 (3):978–83.
  • Iqbal, I. 1991. Construction of experimental designs using cyclic shifts. PhD. thesis, University of Kent.
  • Iqbal, I., and B. Jones. 1994. Efficient repeated measurements designs with equal and unequal period sizes. Journal of Statistical Planning and Inference 42 (1–2):79–88.
  • Iqbal, I., and M. H. Tahir. 2010. Circular strongly balanced repeated measurements designs. Communications in Statistics-Theory and Methods 38 (20):3686–96.
  • Iqbal, I., M. H. Tahir, and S. S. A. Ghazali. 2009. Circular first-and second-order balanced repeated measurements designs. Communications in Statistics: Theory and Methods 39 (2):228–40.
  • James, A. T., and G. N. Wilkinson. 1971. Factorization of the residual operator and canonical decomposition of non-orthogonal factors in the analysis of variance. Biometrika 58 (2):279–94.
  • Jones, B., and M. G. Kenward. 1989. Design and analysis of cross over trials. London: Chapman and Hall.
  • Magda, C. G. 1980. Circular balanced repeated measurements designs. Communications in Statistics-Theory and Methods 9 (18):1901–18.
  • Pearce, S. C., T. Caliński, and T. F. D C. Marshall. 1974. The basic contrasts of an experimental design with special reference to the analysis of data. Biometrika 61 (3):449–60.
  • Sharma, V. K., S. Jaggi, and C. Varghese. 2003. Minimal balanced repeated measurements designs. Journal of Applied Statistics 30 (8):867–72.
  • Williams, E. R. 1949. Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Chemistry 2 (2):149–68.
  • Williams, E. R. 1950. Experimental designs balanced for pairs of residual effects. Australian Journal of Chemistry 3 (3):351–63.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.