## The Annals of Statistics

### Some Contributions to the Theory of Multistage Youden Design

#### Abstract

It is shown that complete sets of $(\nu - 1)/2$ by $\nu$ and $(\nu + 1)/2$ by $\nu$ multistage balanced Youden designs of type I and II can be constructed if $\nu$, the number of treatments, is a prime power of the form $4\lambda + 3$. It is also proved that the existence of a difference set with certain properties implies the existence of a 2-stage balanced Youden design. The usefulness of this latter result is demonstrated for those experiments where the number of treatments is not a prime power.

#### Article information

Source
Ann. Statist., Volume 3, Number 3 (1975), 707-711.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176343133

Digital Object Identifier
doi:10.1214/aos/1176343133

Mathematical Reviews number (MathSciNet)
MR391424

Zentralblatt MATH identifier
0303.62061

JSTOR