Some Contributions to the Theory of Multistage Youden Design,

Abstract

It is shown that complete sets of (v-1)2 by v and (v+1)/2 by v multistage balanced Youden designs of type I and II can be constructed if v, 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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1975
Accession Number
ADA006814

Entities

People

  • A. Hedayat
  • K. Afsarinejad

Organizations

  • Florida State University

Tags

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Mathematical Modeling and Probability Theory.