R: Balanced incomplete block design for given parameters

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]