A_bound {blocksdesign}

Efficiency bounds

Description

Finds upper A-efficiency bounds for regular block designs.

Usage

A_bound(n, v, b)

Arguments

n

the total number of plots in the design.

v

the total number of treatments in the design.

b

the total number of blocks in the design.

Details

Upper bounds for the A-efficiency factors of regular block designs with equi-replicate treatments and equal block sizes (see Chapter 2.8 of John and Williams 1995). Non-trivial A-efficiency upper bounds are calculated for regular block designs with equal block sizes and equal replication only. All other designs return NA.

References

John, J. A. and Williams, E. R. (1995). Cyclic and Computer Generated Designs. Chapman and Hall, London.

Examples

# 50 plots, 10 treatments and 10 blocks for a design with 5 replicates and blocks of size 5 
A_bound(n=50,v=10,b=10)