ibd {ibd}

Binary Incomplete Block Design for Given v, b and k and Optionally, with a Specified Concurrence Matrix

Description

Generates an A- and D- efficient binary incomplete block design with given number of treaments(v), number of blocks(b) and block size(k) and optionally with a specified concurrence matrix(NNP).

Usage

ibd(v,b,k,NNPo,ntrial=5,pbar=FALSE)

Arguments

v

number of treatments

b

number of blocks

k

block size

NNPo

optionally, desired concurrence matrix. If not specified, a nearly balanced concurrence matrix is obtained automatically.

ntrial

number of trials. Default is 5.

pbar

progress bar. Default is FALSE.

Value

v

number of treatments

b

number of blocks

k

block size

NNP

specified concurrence matrix

N

incidence matrix of the generated design

design

block contents in a b by k matrix

conc.mat

concurrence matrix of the generated design

A.efficiency

lower bound to A-efficiency of the generated design

D.efficiency

lower bound to D-efficiency of the generated design

time.taken

time taken to generate the design

Note

This 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.

Examples

ibd(v = 7,b = 7,k = 4, pbar=FALSE)