bibd {ibd}R Documentation

Balanced incomplete block design for given parameters

Description

This function generates a balanced incomplete block design with given number of treaments(v), number of blocks(b), number of replications (r), block size(k) and number of concurrences (lambda).

Usage

bibd(v,b,r,k,lambda,ntrial,pbar=FALSE)

Arguments

v

number of treatments

b

number of blocks

r

number of replications

k

block size

lambda

number of concurrences

ntrial

number of trials

pbar

logical value indicating whether progress bar will be displayed or not. Default is FALSE

Value

v

number of treatments

b

number of blocks

r

number of replications

k

block size

lambda

number of replications

design

block contents in a b by k matrix

N

incidence matrix of the generated design

NNP

concurrence matrix of the generated design

Aeff

Lower bound to the A-efficiency of the generated design

Deff

Lower bound to the D-efficiency of the generated design

Author(s)

B N Mandal <mandal.stat@gmail.com>

References

Mandal, BN, Gupta, VK and Parsad, R. (2013). Application of optimization techniques for construction of incomplete block designs. Project report, IASRI, New Delhi. Mandal, B. N., Gupta, V. K., & Parsad, R. (2014). Efficient Incomplete Block Designs Through Linear Integer Programming. American Journal of Mathematical and Management Sciences, 33(2), 110-124. Mandal, B. N. (2014). Linear integer programming approach to construction of balanced incomplete block designs. Communications in Statistics-Simulation and Computation, (in print).

Examples

bibd(7,7,3,3,1,pbar=FALSE)

[Package ibd version 1.2 Index]