Open Access
March, 1983 Optimal Incomplete Block Designs for Comparing Treatments with a Control
Dibyen Majumdar, William I. Notz
Ann. Statist. 11(1): 258-266 (March, 1983). DOI: 10.1214/aos/1176346076


The problem of finding optimal incomplete blocks designs for comparing $p$ test treatments with a control is studied. B.I.B. designs are found to be $D$-optimal. $A$- and $E$-optimal designs are also obtained. For a large class of functions $\phi$, conditions for a design to be $\phi$-optimal are found. Most of the optimal designs are certain types of B.T.I.B. designs, introduced by Bechhofer and Tamhane (1981), which are binary in test treatments.


Download Citation

Dibyen Majumdar. William I. Notz. "Optimal Incomplete Block Designs for Comparing Treatments with a Control." Ann. Statist. 11 (1) 258 - 266, March, 1983.


Published: March, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0507.62070
MathSciNet: MR684883
Digital Object Identifier: 10.1214/aos/1176346076

Primary: 62K05
Secondary: 62K10

Keywords: $\phi$-optimality , $A$-optimality , $D$-optimality , $E$-optimality , BIB designs , binary designs , BTIB designs , comparing $p$ treatments to a control , Incomplete block designs

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 1 • March, 1983
Back to Top