| Title: | Resolvable partially pairwise balanced design and Space-filling design via association scheme |
|---|---|
| Description: | Using some association schemes to obtain a new series of resolvable partially pairwise balanced designs (RPPBD) and space-filling designs. |
| Authors: | Mohamed Laib, Imane Rezgui and Zebida Gheribi-Aoulmi |
| Maintainer: | Mohamed Laib <[email protected]> |
| License: | GPL-3 |
| Version: | 1.0 |
| Built: | 2025-01-26 17:17:53 UTC |
| Source: | https://github.com/cranhaven/cranhaven.r-universe.dev |
In this package, we apply the (ASC-RPPBD) method on a series of association schemes to construct their associated RPPBD. Moreover, we apply the algorithm (ASC-SF) on the same series of association schemes to obtain their associated space filling design. Each design is identified by its configutation and its parametrs.
| Package: | RPPairwiseDesign |
| Type: | Package |
| Version: | 1.0 |
| Date: | 2014-12-10 |
| License: | GPL-3 |
The Association schemes used in this R-package are :
Rectangular association scheme.
Group divisible association scheme.
Nested group divisible association scheme.
Right angular association scheme
Generalized rectangular right angular association scheme(4)
Generalized rectangular right angular association scheme(5)
Generalized rectangular right angular association scheme(7)
Mohamed Laib, Imane Rezgui and Zebida Gheribi-Aoulmi
Maintainer: Mohamed Laib <[email protected]>
Imane Rezgui, Z.Gheribi-Aoulmi and Herve Monod. U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes. Applied Mathematics. to be appear.
Vartak M.N.1955. On an application of Kronecker product of Matrices to Statistical designs. Ann. Math. Stat.,26(420_438).
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
S. K. Tharthare, Right angular designs, Ann. Math. Statist. 36 (1963), 1057-1067.
Lokesh Dwivedi. Partially balanced Incomplete block designs. M.Sc. (Agricultural Statistics), Roll No. 4491, I.A.S.R.I., Library Avenue, New Delhi -110 012.
The configuration of group divisible RPPBD obtained by applying the (ASC-RPPBD) method on a group divisible association scheme.
PPdiv(n, l)PPdiv(n, l)
n |
Number of lines of the association schemes. |
l |
Number of columns of the association schemes. |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
Lokesh Dwivedi. Partially balanced Incomplete block designs. M.Sc. (Agricultural Statistics), Roll No. 4491, I.A.S.R.I., Library Avenue, New Delhi -110 012.
n<-3 l<-3 PPdiv(n,l)n<-3 l<-3 PPdiv(n,l)
The configuration of Generalized rectangular right angular RPPBD (4) obtained by applying the (ASC-RPPBD) method on a Generalized rectangular right angular association scheme (4).
PPGrectRightAng4(n, l, w)PPGrectRightAng4(n, l, w)
n |
Number of lines of the association schemes array |
l |
Number of columns of the association schemes array |
w |
Number of the association scheme arrays |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
Imane Rezgui, Z.Gheribi-Aoulmi and Herve Monod. U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes. Applied Mathematics. to be appear.
n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng4(n, l, w)n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng4(n, l, w)
The configuration of Generalized rectangular right angular RPPBD (5) obtained by applying the (ASC-RPPBD) method on a Generalized rectangular right angular association scheme (5).
PPGrectRightAng5(n, l, w)PPGrectRightAng5(n, l, w)
n |
Number of lines of the association schemes array |
l |
Number of columns of the association schemes array |
w |
Number of the association scheme arrays |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
Imane Rezgui, Z.Gheribi-Aoulmi and Herve Monod. U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes. Applied Mathematics. to be appear.
n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng5(n, l, w)n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng5(n, l, w)
The configuration of Generalized rectangular right angular RPPBD (7) obtained by applying the (ASC-RPPBD) method on a Generalized rectangular right angular association scheme (7).
PPGrectRightAng7(n, l, w)PPGrectRightAng7(n, l, w)
n |
Number of lines of the association schemes array |
l |
Number of columns of the association schemes array |
w |
Number of the association scheme arrays |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
Imane Rezgui, Z.Gheribi-Aoulmi and Herve Monod. U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes. Applied Mathematics. to be appear.
n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng7(n, l, w)n<-3 #The number of columns of the association scheme array need be bigger than 2 l<-3 w<-3 PPGrectRightAng7(n, l, w)
The configuration of Nested group divisible RPPBD obtained by applying the (ASC-RPPBD) method on a nested group divisible association scheme.
PPNestdiv(n, l, w)PPNestdiv(n, l, w)
n |
Number of lines of the association schemes array |
l |
Number of columns of the association schemes array |
w |
Number of the association scheme arrays |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
Lokesh Dwivedi. Partially balanced Incomplete block designs. M.Sc. (Agricultural Statistics), Roll No. 4491, I.A.S.R.I., Library Avenue, New Delhi -110 012.
n<-3 l<-3 w<-3 PPNestdiv(n, l, w)n<-3 l<-3 w<-3 PPNestdiv(n, l, w)
The configuration of rectangular RPPBD obtained by applying the (ASC-RPPBD) method on a rectangular association scheme.
PPrect(n, l)PPrect(n, l)
n |
Number of lines of the association schemes array |
l |
Number of columns of the association schemes array |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Vartak M.N.1955. On an application of Kronecker product of Matrices to Statistical designs. Ann. Math. Stat.,26(420_438).
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
n<-3 l<-3 PPrect(n, l)n<-3 l<-3 PPrect(n, l)
The configuration of right angular RPPBD obtained by applying the (ASC-RPPBD) method on a right angular association scheme.
PPrightAng(n, l, w)PPrightAng(n, l, w)
n |
Number of lines of association schemes array. |
l |
Number of columns of association schemes array. |
w |
Number of the association scheme arrays. |
A LIST :
RPPBD |
The configuration of the RPPBD |
v |
Number of treatments |
b |
Number of blocs |
r |
The repeatition of each treatments |
k |
A vector of the different bloc's size |
lamda |
A vector of the different values of lamda(i) (i=1,..,m) |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui M.LAIB and Z.Gheribi-Aoulmi NEW SERIES OF RESOLVABLE PARTIALLY PAIRWISE BALANCED DESIGNS AND THEIR ASSOCIATED SPACE FILLING DESIGNS; accepted Proceeding on Afrika Statistika.
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
S. K. Tharthare, Right angular designs, Ann. Math. Statist. 36 (1963), 1057-1067.
n<-3 l<-3 w<-3 PPrightAng(n, l, w)n<-3 l<-3 w<-3 PPrightAng(n, l, w)
The application of the (ASC-SF) algorithm on some association schemes to obtain new series of Space-filling Design.
SpaceFilling(asch)SpaceFilling(asch)
asch |
"character" contain the type of the association scheme used to obtain the Space Filling design, the association scheme used are : "Div" : Group divisible association scheme. "Rect" :Rectangular association scheme. "Nestdiv" : Nested group divisible association scheme. "RightAng" : Right angular association scheme. "GrectRightAng4" : Generalized rectangular right angular association scheme(4). "GrectRightAng5" : Generalized rectangular right angular association scheme(5). "GrectRightAng7" : Generalized rectangular right angular association scheme(7). |
A LIST :
SFDesign |
The configuration of the Space Filling design. |
Runs |
Number of runs in the Space-Filling design. |
Factors |
Number of factors. |
Levels |
Levels of factors. |
Mohamed Laib, Imane Rezgui and Zoubida Gheribi-Aoulmi
Imane Rezgui and Z.Gheribi-Aoulmi New Series of Resolvable Partially Pairwise Balanced and Space Filling Designs via Association Schemes submitted.
#### Space Filling obtain via Group divisible association scheme. # SpaceFilling("PPdiv")#### Space Filling obtain via Group divisible association scheme. # SpaceFilling("PPdiv")