CombS: The Combinatory Method (s) for the construction of...

In mlaib/CombinS: Construction Methods for Series of PBIB Designs via Combinatory Method S

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.

Details

• For 2 < s < l, we obtain a rectangular PBIB design.

• For s = l, we obtain a singular group divisible designs.

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 ?

Author(s)

Mohamed Laib, Imane Rezgui, Zebida Gheribi-Aoulmi and Herve Monod

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)

mlaib/CombinS documentation built on June 14, 2025, 1:09 p.m.