Resolvable function

Resolvable Balanced Incomplete Block Design RBIBD

Extracts the Resolvable Balanced Incomplete Block Design (RBIBD) of any BIBD constructed from a projective geometry.

Resolvable(n, mat)

Arguments

• n: The sub-variety of the block to be deleted.
• mat: The matrix of the BIB.

Returns

A LIST of:

1. VNumber of treatments in the RBIBD.
2. BNumber of blocks of the RBIBD.
3. RRepetition of each treatment.
4. KSize of each block.
5. BIBThe configuration of the RBIBD.

Examples

## Not run:

m<-4
X<-BIB(m)   #BIBD from PG(4,2)

n<-1
mat<-X$BIB
Y<-Resolvable(n,mat) #Extracts the RBIBD
## End(Not run)

Author(s)

Mohamed Laib, Abla Boudraa and Zebida Gheribi-Aoulmi

References

D. Dugué Traité de statistique théorique et appliquée, Masson et Cie, 1958.