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

In CombinS: Construction Methods of some Series of 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)

Example output

$PBIB
     [,1] [,2] [,3] [,4]
init    1    2    4    5
        1    2    7    8
        4    5    7    8
        1    3    4    6
        1    3    7    9
        4    6    7    9
        2    3    5    6
        2    3    8    9
        5    6    8    9

$Type
[1] "Rectangular PBIB design"

$V
[1] 9

$B
[1] 9

$R
[1] 4

$K
[1] 4

$lamda
[1] 4 1

$Resolvable
[1] "No"

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