GPBIB5: Generalized rectangular right angular (5) design.

Description Usage Arguments Value Note Author(s) References See Also Examples

Description

gives the configuration and the parametres of the design obtained by the construction method of GPBIB_5 (see 3.2 of the paper rezgui et al (2015)).

Usage

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GPBIB5(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.

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_5 is a rectangular right angular (5) (PBIB_5).

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

UType

Examples

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## Not run: 
n<-3
l<-3
s<-3
w<-3
GPBIB5(n, l, s, w)

## End(Not run)


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