Partially balanced bipartite block designs

References

• Bechhofer, R. E, and A. C. Tamhane. 1981. Incomplete Block Designs for Comparing Treatments Wth a Control: General Theory. Technometrics 23 (1):45–57. doi: 10.1080/00401706.1981.10486236.
   Web of Science ®Google Scholar
• 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: 10.1080/01621459.1988.10478620.
   Web of Science ®Google Scholar
• Clatworthy, W. H. 1973. Tables of two-associate-class partially balanced designs. National Bureau of Standards, Applied Mathematics, Series No. 63, Washington D.C.
   Google Scholar
• Corsten, L. C. A. 1962. Balanced Block Designs with Two Different Numbers of Replicates. Biometrics 18 (4):499 doi: 10.2307/2527896.
   Web of Science ®Google Scholar
• Das, A., A. Dey, S. Kageyama, and K. Sinha. 2005. A-efficient balanced treatment incomplete block designs. Australasian Journal of Combinatorics 32:243–52.
   Google Scholar
• Gupta, V. K, and R. Parsad. 2001. Block designs for comparing test treatments with control treatments-an overview. Statistics and Applications 3:133–46.
   Google Scholar
• Hedayat, A. S., M. Jacroux, and D. Majumdar. 1988. Optimal designs for comparing test treatments with controls. Statistical Science 3 (4):462–91.
   Google Scholar
• Hedayat, A. S, and D. Majumdar. 1984. A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons. Technometrics 26 (4):363–70. doi: 10.2307/1269499.
   Web of Science ®Google Scholar
• Jacroux, M. 1987. Some MV-Optimal block designs for comparing test treatments with a standard treatment. Sankhya 49:239–61.
   Google Scholar
• Jacroux, M. 1986. On the determination and construction of MV-optimal block designs for comparing test treatments with a standard treatment. Journal of Statistical Planning and Inference 15:205–25. doi: 10.1016/0378-3758(86)90098-4.
   Web of Science ®Google Scholar
• Jacroux, M. 1988. Some further results on the MV-optimality of block designs for comparing test treatments to a standard treatment. Journal of Statistical Planning and Inference 20 (2):201–14. doi: 10.1016/0378-3758(88)90123-1.
   Web of Science ®Google Scholar
• Jacroux, M, and D. Majumdar. 1989. Optimal block designs for comparing test treatments with a control when k>ν. Journal of Statistical Planning and Inference 23 (3):381–96. doi: 10.1016/0378-3758(89)90080-3.
   Web of Science ®Google Scholar
• Jaggi, S., Gupta, V. K, and R. Parsad. 1996. A-Efficient block designs for comparing two disjoint sets of treatments. Communications in Statistics- Theory and Methods 25 (5):967–83. doi: 10.1080/03610929608831743.
   Web of Science ®Google Scholar
• Kageyama, S, and K. Sinha. 1991. Constructions of partially balanced bipartite block designs. Discrete Mathematics 92 (1-3):137–44. doi: 10.1016/0012-365X(91)90275-7.
   Web of Science ®Google Scholar
• Kageyama, S. and K. Sinha. 1988. Some constructions of balanced bipartite block designs. Utilitas Mathematica 33:137–162. doi: 10.14490/jjss.33.137.
   Web of Science ®Google Scholar
• Majumdar, D. 1996. Optimal and efficient treatment-control designs. Handbook of Statistics 13: 1007–53.
   Google Scholar
• 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.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Mandal, B. N., R. Parsad, and S. Dash, 2018. A-optimal block designs for comparing test treatments with control treatment (s)-an algorithmic approach, Project Report, New Delhi,
   Google Scholar
• Mandal, B. N., R. Parsad, and S. Dash. 2020. Construction of A-optimal balanced treatment incomplete block designs: An algorithmic approach. Communications in Statistics- Simulation and Computation 49 (6):1653–64. doi: 10.1080/03610918.2018.1508701.
   Web of Science ®Google Scholar
• William, N. I, and A. C. Tamhane. 1983. Balanced Treatment incomplete block (BTIB) designs for comparing treatments with a control: minimal complete sets of generator designs for k = 3, p = 3(1)10. Communications in Statistics- Theory and Methods 12 (12):1391–412. doi: 10.1080/03610928308828539.
   Web of Science ®Google Scholar
• Parsad, R., V. K. Gupta, and N. S. G. Prasad. 1995. On construction of A-efficient balanced test treatment incomplete block-designs. Utilitas Mathematica 47:185–90.
   Web of Science ®Google Scholar
• Puri, P. D, and S. Kageyama. 1985. Constructions of partially efficiency-balanced designs and their analysis. Communications in Statistics- Theory and Methods 14 (6):1315–42. doi: 10.1080/03610928508828978.
   Web of Science ®Google Scholar
• Puri, P. D., B. D. Mehta, and S. Kageyama. 1986. Patterned constructions of partially efficiency-balanced designs. Journal of Statistical Planning and Inference 15:365–78. doi: 10.1016/0378-3758(86)90109-6.
   Web of Science ®Google Scholar
• Rao, M. B. 1966. Partially balanced block designs with two different number[s] of replications. Journal of Indian Statistical Association 4:1–9.
   Google Scholar
• Sinha, K, and S. Kageyama. 1990. Further constructions of balanced bipartite block designs. Utilitas Mathematica 38:155–60.
   Web of Science ®Google Scholar
• Stufken, J. 1987. A-optimal block designs for comparing test treatments with a control. Annals of Statistics 15:1629–67.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Stufken, J. 1991. On group divisible treatment designs for comparing test treatments with a standard treatment in blocks of size 3. Journal of Statistical Planning and Inference 28 (2):205–21. doi: 10.1016/0378-3758(91)90026-B.
   Web of Science ®Google Scholar