GPBIB4A: Generalized rectangular right angular (4) design with lambda4...

In CombinS: Construction Methods of some Series of PBIB Designs

Description

Gives the configuration and the parametres of the design obtained by the first construction method of GPBIB_4 (see 3.1.1 of the paper rezgui et al (2015)).

Usage

GPBIB4A(n, l, s, w)

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.
w	Number of the association scheme arrays.

Details

• For s = l, the previous method gives configuration of nested 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 ?

Note

For w=2, the GPBIB_4 is a rectangular right angular (4) (PBIB_4)

Author(s)

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

References

Imane Rezgui, Z. Gheribi-Aoulmi and H. Monod (2015). U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes, Applied mathematics, 6, 242-264.

Imane Rezgui, Z.Gheribi-Aoulmi and H. Monod, New association schemes with 4, 5 and 7 associated classes and their associated partially balanced incomplete block designs; Advances and Applications in Discrete Mathematics Vol.12 Issue 2 197-206.

See Also

GPBIB4B and UType

Examples

## Not run: 
n<-3
l<-3
s<-3
w<-3
GPBIB4A(n, l, s, w)

## End(Not run)

CombinS documentation built on May 2, 2019, 5:17 a.m.