Analyzing Unreplicated 2k Factorial Designs by Examining their Projections into k-1 Factors

被引：3

作者：

Angelopoulos, P. ^{[1
]}

Evangelaras, H. ^{[2
]}

Koukouvinos, C. ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece

[2] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus 18534, Greece

来源：

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2010年 / 26卷 / 03期

关键词：

unreplicated factorial design; effect sparsity; effect heredity; projective property; QUICK;

D O I：

10.1002/qre.1048

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Unreplicated factorial designs are widely used as experimental designs because of the economy they offer in run size. However, they are difficult to analyze because there are no degrees of freedom left to estimate the experimental error. Many methods have been proposed for the analysis of such designs with Lenth's (Technometrics 1989; 31:469-473) and Dong's (Statist. Sinica 1993; 3:209-217) being the most popular. In this paper we take advantage of the projective property of factorial designs and we propose a simple yet effective method for analyzing unreplicated factorial designs. The results are compared through a simulation study with Lenth's and Dong's methods. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：223 / 233

页数：11

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