OCDs in Balanced Incomplete Block Design Set-Up

Premadhis Das (), Ganesh Dutta (), Nripes Kumar Mandal () and Bikas Kumar Sinha ()
Additional contact information
Premadhis Das: University of Kalyani, Department of Statistics
Ganesh Dutta: Basanti Devi College (Affiliated to University of Calcutta), Department of Statistics
Nripes Kumar Mandal: University of Calcutta, Department of Statistics
Bikas Kumar Sinha: Indian Statistical Institute

Chapter Chapter 4 in Optimal Covariate Designs, 2015, pp 41-63 from Springer

Abstract: Abstract In this chapter, we consider the problem of finding optimum designs for the estimation of covariate parameters in a BIBD with parameters $$v,~b,~r,~k,~\lambda $$ v , b , r , k , λ . When $$n\ne $$ n ≠ 0 (mod 4), it is not possible to find designs attaining minimum variance ( $$\frac{\sigma ^2}{n}$$ σ 2 n ) for the estimated covariate parameters. Conditions for D-optimum designs for the estimation of covariate parameters are established with the usual assumption that each of the values of the csovariates belongs to the interval [ $$-1,1$$ - 1 , 1 ]. Some constructions of D-optimal designs have been provided for symmetric balanced incomplete block design (SBIBD) with parameters $$b=v,~r=k=v-1,~\lambda =v-2$$ b = v , r = k = v - 1 , λ = v - 2 when $$k\equiv 2$$ k ≡ 2 (mod 4) and b is an odd integer.

Keywords: BIBD; Symmetric BIBD; Optimal covariate designs; Bose’s difference technique; Projective geometry; D-optimal covariate designs (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2461-7_4

Ordering information: This item can be ordered from
http://www.springer.com/9788132224617

DOI: 10.1007/978-81-322-2461-7_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().