bibd {ibd}

Balanced Incomplete Block Design for Given Parameters

Description

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=5,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. Default value is 5.

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 concurrences

design

block contents in a b by k matrix

N

treatments by blocks 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

Note

The function works best for values of number of treatments (v) up to 30 and block size (k) up to 10. However, for block size (k) up to 3, much larger values of number of treatments (v) may be used.

Author(s)

Baidya Nath Mandal <[e-mail]>

References

Mandal, B. N., Gupta, V. K. 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. (2015). Linear integer programming approach to construction of balanced incomplete block designs. Communications in Statistics-Simulation and Computation, 44:6, 1405-1411.

Examples

bibd(7,7,3,3,1)
bibd(9,12,4,3,1)