ym1 {PBIBD}R Documentation

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

Description

If the same number of rows, say t, are omitted from the top and bottom of a Circulant matrix such that at least two rows remain, the resulting arrangement forms a Youden-m square.

(A) For even-ordered Circulant matrices (order v \geq 4 and even), the columns of the resulting Youden-m square constitute a PBIB design with parameters:

(B) For odd-ordered Circulant matrices (order v \geq 5 and odd), the columns of the resulting Youden-m square constitute a PBIB design with parameters:

Usage

ym1(n, t)

Arguments

n

Order of the circulant matrix, which is also the number of treatments.

t

Number of rows to omit from both the top and bottom of the circulant matrix.

Value

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

Author(s)

Kush Sharma, Davinder Kumar Garg

Examples

ym1(6, 1)

[Package PBIBD version 1.4 Index]