Help for package SudokuDesigns

Type:

Package

Title:

Sudoku as an Experimental Design

Version:

1.2.0

Maintainer:

Ashutosh Dalal <ashutosh.dalal97@gmail.com>

Description:

Sudoku designs (Bailey et al., 2008<doi:10.1080/00029890.2008.11920542>) can be used as experimental designs which tackle one extra source of variation than conventional Latin square designs. Although Sudoku designs are similar to Latin square designs, only addition is the region concept. Some very important functions related to row-column designs as well as block designs along with basic functions are included in this package.

License:

GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]

Encoding:

UTF-8

RoxygenNote:

7.3.2

NeedsCompilation:

Packaged:

2025-03-17 18:30:37 UTC; Ashutosh

Author:

Ashutosh Dalal [aut, cre], Cini Varghese [aut, ctb], Rajender Parsad [aut, ctb], Mohd Harun [aut, ctb]

Repository:

CRAN

Date/Publication:

2025-03-18 07:30:37 UTC

Check properties of an incomplete block design (IBD)

Description

Check properties of an incomplete block design (IBD)

Usage

Check_IBD(Design)

Arguments

Design

Provide an IBD in matrix format

Value

Provides C matrix (Information matrix), eigenvalues(EVs) and canonical efficiency factor (CEF) of a given IBD

Examples

library(SudokuDesigns)
Design<-matrix(c(1,2,3,2,5,3,2,4,6),nrow=3,byrow=TRUE)
Check_IBD(Design)

Check properties of an incomplete row-column design (IRC)

Description

Check properties of an incomplete row-column design (IRC)

Usage

Check_IRC(Design)

Arguments

Design

Provide an IRC in matrix format

Value

Provides C matrix (Information matrix), eigenvalues(EVs) and canonical efficiency factor (CEF) of a given IRC.

Examples

library(SudokuDesigns)
Design<-matrix(c(1,2,3,2,5,3,2,4,6),nrow=3,byrow=TRUE)
Check_IRC(Design)

Moore Penrose Inverse

Description

Moore Penrose Inverse

Usage

Check_MP_Inverse(matrix)

Arguments

matrix

Any matrix

Value

Provides Moore Penrose inverse of a given matrix

Examples

library(SudokuDesigns)
mat<-matrix(c(1,2,3,2,5,3,2,4,6),nrow=3,byrow=TRUE)
Check_MP_Inverse(mat)

Observations Vs Columns Incidence Matrix

Description

Observations Vs Columns Incidence Matrix

Usage

Check_Obsn_vs_Col_Matrix(Matrix)

Arguments

Matrix

Any matrix

Value

Generates observations vs columns incidence matrix of a given design

Examples

library(SudokuDesigns)
mat1<-matrix(c(1,2,3,4,1,3,6,2,8,1,8,3),nrow=4,byrow=TRUE)
mat1
Check_Obsn_vs_Col_Matrix(mat1)

Observations Vs Regions Incidence Matrix

Description

Observations Vs Regions Incidence Matrix

Usage

Check_Obsn_vs_Reg_Matrix(Design, Region)

Arguments

Design

A Sudoku design in matrix format

Region

A matrix of regions according to the Sudoku design

Value

Observations vs regions incidence matrix for a given Sudoku design and region matrix

Examples

library(SudokuDesigns)
design<-matrix(c(1,2,3,4,3,4,1,2,2,1,4,3,4,3,2,1),nrow=4,ncol=4,byrow=TRUE)
region<-matrix(c(1,1,2,2,1,1,2,2,3,3,4,4,3,3,4,4),nrow=4,ncol=4,byrow=TRUE)
Check_Obsn_vs_Reg_Matrix(design, region)

Observations Vs Rows Incidence Matrix

Description

Observations Vs Rows Incidence Matrix

Usage

Check_Obsn_vs_Rows_Matrix(Matrix)

Arguments

Matrix

Any matrix

Value

Generates observations vs rows matrix for a given design

Examples

library(SudokuDesigns)
mat1<-matrix(c(1,2,3,4,1,3,6,2,8,1,8,3),nrow=4,byrow=TRUE)
mat1
Check_Obsn_vs_Rows_Matrix(mat1)

Observations Vs Treatments Incidence Matrix

Description

Observations Vs Treatments Incidence Matrix

Usage

Check_Obsn_vs_Trt_Matrix(Matrix)

Arguments

Matrix

Any matrix

Value

Generates observations Vs treatments matrix

Examples

library(SudokuDesigns)
mat1<-matrix(c(1,2,3,4,1,3,6,2,8,1,8,3),nrow=4,byrow=TRUE)
mat1
Check_Obsn_vs_Trt_Matrix(mat1)

Checking Rank of a Matrix

Description

Checking Rank of a Matrix

Usage

Check_Rank(matrix)

Arguments

matrix

Any matrix

Value

Print the rank of the given matrix

Examples

library(SudokuDesigns)
mat<-matrix(c(1,2,3,2,4,6,5,2,3),nrow=3,byrow=TRUE)
Check_Rank(mat)

Replications for each treatments

Description

Replications for each treatments

Usage

Check_Replications(matrix)

Arguments

matrix

Any matrix

Value

Returns a matrix of replications for each treatment.

Examples

library(SudokuDesigns)
mat11<-matrix(c(1,2,3,4,1,3,6,2,8,1,8,3),nrow=4,byrow=TRUE)
mat11
Check_Replications(mat11)

Check Properties of Sudoku Designs

Description

Check Properties of Sudoku Designs

Usage

Check_Sudoku_Design(Design, Region)

Arguments

Design

Give the Sudoku design in a matrix format

Region

Provide a Region matrix corresponding to Sudoku design

Value

Design along with design parameters, C matrix (Information matrix), eigenvalues(EVs) and canonical efficiency factor (CEF) of a given Sudoku design

Examples

library(SudokuDesigns)
design<-matrix(c(1,2,3,4,3,4,1,2,2,1,4,3,4,3,2,1),nrow=4,ncol=4,byrow=TRUE)
region<-matrix(c(1,1,2,2,1,1,2,2,3,3,4,4,3,3,4,4),nrow=4,ncol=4,byrow=TRUE)
Check_Sudoku_Design(design,region)

Find tupple occurances in a given matrix rows

Description

Find tupple occurances in a given matrix rows

Usage

Check_Tupple(matrix, tupple)

Arguments

matrix

Any matrix

tupple

A vector of numbers

Value

Number of times a tupple occurs within the rows of a given matrix

Examples

mat1<-matrix(c(1,2,3,4,1,3,6,2,8,1,8,3),nrow=4,byrow=TRUE)
mat1
Check_Tupple(mat1,c(1,2))

Complete/Incomplete Sudoku Designs for Even Number, v

Description

To obtain complete as well as incomplete Sudoku designs for an even number one can use this function. The generated designs are a new series of Sudoku designs.

Usage

Get_Sudoku_I(v, type = "complete")

Arguments

v

Please enter an number, v

type

Please choose type as "complete" or "incomplete". Default is "complete".

Value

For a given v, this function will provide the Sudoku design and its parameters, Region matrix, C matrix, eigenvalues (EVs) and canonical efficiency factor (CEF).

Examples

library(SudokuDesigns)
Get_Sudoku_I(10)

Incomplete Sudoku designs for v = nC2 where n (>=5) is an odd number

Description

Generated designs with less number of regions with quite high canonical efficiency factors.

Usage

Get_Sudoku_II(v)

Arguments

v

Provide v = nC2 where n (>=5) is an odd number

Value

It returns an incomplete Gerechte design along with its parameters, region matrix, C matrix, eigenvalues (EVs) and canonical efficiency factor (CEF).

Examples

library(SudokuDesigns)
Get_Sudoku_II(10)