R: Incomplete block design for given v,b and k and optionally,...

ibd {ibd} | R Documentation

## Incomplete block design for given v,b and k and optionally, with a specified concurrence matrix

### Description

This function generates an efficient 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,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
`pbar` | progress bar

### 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` | A-efficiency of the generated design
`D.efficiency` | D-efficiency of the generated design
`time.taken` | time taken to generate the 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.

### Examples

    v=9
    b=12
    k=3
    ibd(v,b,k,pbar=FALSE)

[Package ibd version 1.2 Index]