bibd: Balanced incomplete block design for given parameters
In ibd: Incomplete Block Designs

Description Usage Arguments Value Note Author(s) References Examples

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).

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

`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

`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

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.

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

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.