Accession Number:

AD0274297

Title:

GENERAL FORMULAS AND A POSITIONAL INDEXALGORITHM FOR GENERATING ORTHOGONAL CONTRASTS IN MULTIVARIABLE STATISTICAL DESIGNS

Descriptive Note:

Corporate Author:

ARMY ELECTRONICS LABS FORT MONMOUTH N J

Personal Author(s):

Report Date:

1962-02-01

Pagination or Media Count:

108.0

Abstract:

Thi analyses deals with the evelopment of general formulas and a number-positional algorithm to generate the effect functions effects and interactions of the fact rs in orthogonal multivariable statistical design . The algorithm and general formulas pre ented are ideally suited for a computer. The application of the general formula to a 5x4x3x2 orthogonal design is elucidated by charts and tables. The algorit m developed leads to a significant simplification of the usual tec niques of analysis of variance. The positional indices serve to esta lis a biunique correspondence between the element of a datamatrix an their associated coefficient-multipliers. T e factors, their levels, the associated L-matrices of polynomial values, and the elements of the data-matrix are uniq ely represented by sets of positionally ordered numerical indices as subscripts and super cripts.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE