Accession Number:

AD0645154

Title:

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

Descriptive Note:

Professional paper,

Corporate Author:

SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF

Personal Author(s):

• Willmorth,N. E.

Report Date:

1966-12-01

Pagination or Media Count:

38.0

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 pmn systems where p is a prime, using finite field geometry as the construction method. A table of primitive irreducible polynomials for pn 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

Descriptors:

• (*COMBINATORIAL ANALYSIS
• *EXPERIMENTAL DESIGN)
• POLYNOMIALS
• PRIME NUMBERS
• ALGEBRAIC GEOMETRY

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE