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OCDs in Balanced Treatment Incomplete Block Design Set-Up

  • Premadhis DasEmail author
  • Ganesh Dutta
  • Nripes Kumar Mandal
  • Bikas Kumar Sinha
Chapter

Abstract

In this chapter, optimum covariate designs (OCDs) have been considered for the set-up of the balanced treatment incomplete block (BTIB) designs, which form an important class of test-control designs. It is seen that the OCDs depend much on the methods of construction of the basic BTIB designs. The presentation in this chapter closely follows the work of Dutta, Das, J Stat Plan Inference 143:1203–1214, 2013, Dutta and Das (2013) who considered the problem of construction of OCDs on the series of BTIB designs mainly described in Bechhofer, Tamhane, Technometrics 23:45–57, 1981, Bechhofer and Tamhane (1981) and Das, Dey, Kageyama, Sinha, Australas J Combinatorics 32:243–252, 2005, Das et al. (2005).

Keywords

Balanced treatment incomplete block designs (BTIBDs) Test-control designs BIBDs GDDs Generator designs Resolvable designs 

References

  1. Bechhofer RE, Tamhane AC (1981) Incomplete block designs for comparing treatments with a control: general theory. Technometrics 23:45–57MathSciNetGoogle Scholar
  2. Clatworthy WH (1973) Tables of two-associate class partially balanced designs. National Bureau of Standards, US Department of CommerceGoogle Scholar
  3. Das A, Dey A, Kageyama S, Sinha K (2005) A-efficient balanced treatment incomplete block designs. Aust J Comb 32:243–252MathSciNetGoogle Scholar
  4. Das K, Mandal NK, Sinha Bikas K (2003) Optimal experimental designs for models with covariates. J Stat Plan Inference 115:273–285MathSciNetCrossRefGoogle Scholar
  5. Dutta G, Das P (2013) Optimum designs for estimation of regression parameters in a balanced treatment incomplete block design set-up. J Stat Plan Inference 143:1203–1214MathSciNetCrossRefGoogle Scholar
  6. Hedayat AS, Majumdar D (1984) A-optimal incomplete block designs for control-test treatment comparisons. Technometrics 26:363–370MathSciNetGoogle Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  • Premadhis Das
    • 1
    Email author
  • Ganesh Dutta
    • 2
  • Nripes Kumar Mandal
    • 3
  • Bikas Kumar Sinha
    • 4
  1. 1.Department of StatisticsUniversity of KalyaniKalyaniIndia
  2. 2.Department of StatisticsBasanti Devi College (Affiliated to University of Calcutta)KolkataIndia
  3. 3.Department of StatisticsUniversity of CalcuttaKolkataIndia
  4. 4.Indian Statistical InstituteKolkataIndia

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