Advanced search
Publication Cover
Journal of Statistical Theory and Practice Volume 9, 2015 - Issue 4
Journal homepage
75
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Constructions of Partially Balanced Crossover Designs Based on Two and Higher Order Association Schemes

Poonam SinghDepartment of Statistics, University of Delhi, New Delhi, India
,
Mithilesh Kumar JhaDepartment of Statistics, PGDAV College, University of Delhi, New Delhi, India
&
Garima PriyadarshiniDepartment of Statistics, University of Delhi, New Delhi, IndiaCorrespondence[email protected]
Pages 778-796 | Received 20 Feb 2014, Accepted 10 Feb 2015, Published online: 06 May 2015

References

  • Aggarwal, M. L., and M. K. Jha. 2006. Some new series of partially balanced residual treatment effects designs. Commun. Stat. Theory Methods, 35, 1477–1482.
  • Blaisdell, E. A., and D. Raghavarao. 1980. Partially balanced change-over designs based on m-associate class PBIB designs. J. R. Stat. Soc. B, 42, 334–338.
  • Bose, R. C., and K. R. Nair. 1939. Partially balanced incomplete block designs. Sankhya, 4, 337–372.
  • Bose, R. C., and T. Shimamoto. 1952. Classification and analysis of partially balanced incomplete block designs with two associate classes. J. Am. Stat. Assoc., 47, 151–184.
  • Hedayat, A., and K. Afsarinejad. 1975. Repeated measurement designs, I. In A survey of statistical designs and linear models, ed. J. N. Srivastava, 229–242. Amsterdam, The Netherlands: North-Holland Publishing Company.
  • Hedayat, A., and K. Afsarinejad. 1978. Repeated measurements designs, II. Ann. Stat., 6, 619–628.
  • Hinkelmann, K. 1964. Extended group divisible partially balanced incomplete block designs. Ann. Math. Stat., 35, 681–695.
  • John, P. W. M. 1966. An extension of the triangular association scheme to three associate classes. J. R. Stat. Soc. B, 28, 361–365.
  • Jones, B., and M. G. Kenward. 2003. Design and analysis of cross over trials, 2nd ed. New York, NY: Chapman and Hall/CRC.
  • Keifer, J. 1958. On the nonrandomized optimality and randomized non-optimality of symmetrical designs. Ann. Math. Stat., 29, 907–910.
  • Raghavarao, D., and E. A. Blaisdell., 1985. Efficiency bounds for partially balanced change-over designs based on m-associate class PBIB designs. J. R. Stat. Soc., B, 47, 132–135.
  • Raghavarao, D., and K. Chandrasekhararao. 1964. Cubic designs. Ann. Math. Stat., 35, 389–397.
  • Raghavarao, D., and L. Padgett. 2014. Repeated measurements and cross-over designs. Hoboken, NJ: John Wiley and Sons.
  • Satpati, S. K., V. K. Gupta, R. Parsad, and M. L. Aggarwal. 2012. Computer-generated change-over designs for correlated observations. Commun. Stat. Theory Methods, 41, 3786–3798.
  • Tharthare, S. K. 1963. Right angular designs. Ann. Math. Stat., 34, 1057–1067.
  • Tharthare, S. K. 1965. Generalised right angular designs. Ann. Math. Stat., 36, 1535–1553.
  • Williams, E. J. 1949. Experimental designs balanced for the estimation of residual effects of treatments. Austr. J. Sci. Res., 2A, 149–168.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.