ENBIS: European Network for Business and Industrial Statistics

Method for identification of factorial effects in 2^k open and closed full factorial designs

24 September 2008, 09:40 – 10:00

Abstract

Submitted by

Zorica Veljkovic

Authors

Zorica A. Veljkovic, Slobodan LJ. Radojevic Gordana Bakic

Affiliation

Faculty of Mechanical Engineering, University of Belgrade, Dpt.s for Industrial Enginering, Mathematic and Material Science, zveljkovic@mas.bg.ac.yu

Abstract

Paper discuss allocation of the main factor effect in basic columns of 2^k full factorial designs, where k trends to infinity, by development of adequate formula. From there formula is expanded in interactive process of identification of all factorial interactions and their places in columns of design matrix, eider for their identification or for placement. Principle is applicable, with minor changes for both open (traditional approach) and closed (Taguchi's orthogonal arrays) full factorial designs. This enables new approach to defining generators and identification of alias structure in construction of fractional factorial designs

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