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)

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

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.

Author

Baidya Nath Mandal <mandal.stat@gmail.com>

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

Run this code

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

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