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Original Articles

On A-efficient treatment-control designs constructed by cyclic and generalized cyclic designs

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Pages 6096-6111 | Received 02 Dec 2018, Accepted 28 May 2019, Published online: 19 Jun 2019

References

  • Bechhofer, R. E., and A. C. Tamhane. 1981. Incomplete block designs for comparing treatments with a control: General theory. Technometrics 23:45–57. doi:10.2307/1267975.
  • Cheng, C.-S., D. Majumdar, J. Stufken, and T. E. Türe. 1988. Optimal step-type designs for comparing test treatments with a control. Journal of the American Statistical Association 83 (402):477–82. doi:10.2307/2288865.
  • Das, A., A. Dey, S. Kageyama, and K. Sinha. 2005. A-efficient balanced treatment incomplete block designs. Australasian Journal of Combinatorics 32:243–52.
  • Hall, W. B., and R. G. Jarrett. 1981. Nonresolvable incomplete block designs with few replicates. Biometrika 68 (3):617–27. doi:10.1093/biomet/68.3.617.
  • Hedayat, A. S., and D. Majumdar. 1984. A-optimal incomplete block designs for control-test treatment comparisons. Technometrics 26:363–70. doi:10.2307/1269499.
  • Jarrett, R. G., and W. B. Hall. 1978. Generalized cyclic incomplete block designs. Biometrika 65 (2):397–401. doi:10.1093/biomet/65.2.397.
  • John, J. A. 1987. Cyclic designs. New York: Chapman and Hall.
  • Majumdar, D., and W. I. Notz. 1983. Optimal incomplete block designs for comparing treatments with a control. The Annals of Statistics 11 (1):258–66. doi:10.1214/aos/1176346076.
  • Mandal, B. N., V. K. Gupta, and R. Parsad. 2017. Balanced treatment incomplete block designs through integer programming. Communications in Statistics - Theory and Methods 46 (8):3728–37. doi:10.1080/03610926.2015.1071394.
  • Mandal, B., R. Parsad, and S. Dash. 2018. Construction of A-optimal balanced treatment incomplete block designs: An algorithmic approach. Communications in Statistics - Simulation and Computation :1–12. doi:10.1080/03610918.2018.1508701.
  • Parsad, R., V. K. Gupta, and N. S. G. Prasad. 1995. On construction of A-efficient balanced test treatment incomplete block designs. Utilitas Mathematica 47:1629–38.
  • Stufken, J. 1987. A-optimal block designs for comparing test treatments with a control. The Annals of Statistics 15 (4):1629–38. doi:10.1214/aos/1176350614.
  • Stufken, J. 1988. On bounds for the efficiency of block designs for comparing test treatments with a control. Journal of Statistical Planning and Inference 19 (3):361–72. doi:10.1016/0378-3758(88)90043-2.

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