ym2 {PBIBD}R Documentation

Constructs Youden-m square designs and provides the parameters of the corresponding PBIB design

Description

By omitting the middle 2t rows (where t = 1, 2, \ldots) from any even-ordered Circulant matrix with order v \geq 6, and considering only those rows that lie either above or below the omitted 2t rows, the resulting arrangement gives a new type of Youden-m square.

The columns of these Youden-m squares constitute m-associate class PBIB designs, with the following parameters:

Usage

ym2(n, t)

Arguments

n

n is the order of the circulant matrix, which is also the number of treatments

t

t is the number of rows to omit from the middle of the circulant matrix (i.e., 2t rows will be omitted)

Value

The function returns the required Youden-m square design and the parameters of the PBIB design constituted by taking the incomplete columns of the Youden-m square as blocks.

Author(s)

Kush Sharma, Davinder Kumar Garg

Examples

ym2(8, 1)

[Package PBIBD version 1.4 Index]