CombinS (version 1.1-1)

CombS: The Combinatory Method (s) for the construction of rectangular PBIB designs

Description

The application of the Combinatory Method (s), with $s$ chosen in $[2, l-1]$, on rectangular association scheme to obtain the configuration and the parameters of the PBIB design associated.

Usage

CombS(n, l, s)

Arguments

n

Number of lines of the association schemes array.

l

Number of columns of the association schemes array.

s

Number of the token treatments from the same row of the association scheme.

Value

A LIST :

• PBIB The configuration of the PBIB.
• Type The type of the design
• V Number of treatments.
• B Number of blocs.
• R Repetition of each treatment.
• K Size of blocs.
• lamda Vector of m-lambda.
• Resolvable Is the design Resolvable ?

Details

• For $2 < s < l$, we obtain a rectangular PBIB design.
• For $s = l$, we obtain a singular group divisible designs.

References

Imane Rezgui, Z. Gheribi-Aoulmi (2014). New construction method of rectangular partially balanced incomplete block designs and singular group divisible designs, Journal of Mathematics and Statistics, 10, 45- 48.

M.N. Vartak 1955. On an application of Kronecker product of Matrices to Statistical designs. Ann. Math. Stat.,26(420-438).

See Also

UType

Examples

## Not run: 
# n<-3
# l<-3
# s<-2
# CombS(l,n,s)
# ## End(Not run)