ON THE CONSTRUCTION OF LATIN AND LATTICE SQUARES AND OTHER INCOMPLETE BLOCK DESIGNS.

Abstract

Limitations on the availability of experimental materials, subjects, time, and equipment lead to the use of incomplete block designs. This paper discusses the construction of incomplete blocks for (p(m))n systems (where p is a prime), using finite field geometry as the construction method. A table of primitive irreducible polynomials for p(n) < 1000 is given. Methods for factorial representation, computation of confounded effects, and generation of incomplete blocks are demonstrated; and some of the interrelationships of Graeco-Latin, lattice, and partial factorial designs are demonstrated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0645154

Entities

People

  • N. E. Willmorth

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Availability
  • Calculators
  • Computations
  • Construction
  • Construction Equipment
  • Construction Materials
  • Demographic Cohorts
  • Factorial Design
  • Geometry
  • Materials
  • Mathematics
  • Office Equipment And Supplies
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Regression Analysis.