btib {ibd}

Balanced Treatment Incomplete Block Designs

Description

Generates a balanced treatment incomplete block design for specified parameters.

Usage

btib(v,b,r,r0,k,lambda,lambda0,ntrial=5,pbar=FALSE)

Arguments

v

number of test treatments

b

number of blocks

r

number of replications of test treatments

r0

number of replications of the control treatment

k

block size

lambda

number of concurrences among test treatments

lambda0

number of concurrences between test treatments and the control treatment

ntrial

number of trials. Default is 5.

pbar

logical value indicating whether progress bar will be displayed or not. Default is FALSE.

Value

v

number of test treatments

b

number of blocks

r

number of replications of test treatments

r0

number of replications of the control treatment

k

block size

lambda

number of concurrences among test treatments

lambda0

number of concurrences between test treatments and the control treatment

design

generated block design

N

treatment by block incidence matrix of the generated block design

NNP

concurrence matrix of the generated design

Aeff

A-efficiency of the generated design

Note

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.

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). Balanced treatment incomplete block designs through integer programming, Communications in Statistics - Theory and Methods, 46:8, 3728-3737.

Examples

btib(4,6,3,6,3,1,3,10)