btib: Balanced Treatment Incomplete Block Designs

In ibd: Incomplete Block Designs

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)

ibd documentation built on May 29, 2024, 12:11 p.m.