btib1 {ibd}

Balanced Treatment Incomplete Block Designs

Description

Generates a balanced treatment incomplete block design for specified parameters by searching all possible combinations.

Usage

btib1(v,b,r,r0,k,lambda,lambda0)

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 control treatment

Value

v

number of test treatments

b

number of blocks

r

number of replications of test treatments

r0

number of replications of control treatment

k

block size

lambda

number of concurrences among test treatments

lambda0

number of concurrences between test treatments and 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. and PARSAD, R. (2012). Generation of Binary Incomplete Block Design with a Specified Concurrence Matrix. Journal of Statistics & Applications, 7.

Examples

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