Supports of BIB (Balanced Incomplete Block) Designs - An Algebraic and Graphical Study.

Abstract

The structure and the size of the supports of balanced incomplete block (BIB) designs are explored. The concepts of fundamental BIB designs is introduced and its usefulness in can be reduced via a technique call trade on a design. A new graphical method of studying the supports of BIB designs with blocks of size three is introduced. Several useful results are obtained via this graphical method. In particular, it is shown that no BIB design with seven varieties in blocks of size three can be built based on sixteen distinct blocks. Contributions made here have immediate applications in controlled experimental designs and survey samplings.

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Document Details

Document Type
Technical Report
Publication Date
Mar 18, 1986
Accession Number
ADA172029

Entities

People

  • A. Hedayat
  • W. Foody

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Computer Science
  • Computers
  • Equations
  • Experimental Design
  • Illinois
  • Inequalities
  • Mathematical Programming
  • Notation
  • Numbers
  • Sampling
  • Security
  • Statistics
  • Surveys
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design