Book Chapter

Full Factorial Experiments at Two Levels

Hamada Michael S, Wu C. F. Jeff

2021

Overview

In many scientific investigations, the interest lies in the study of effects of two or more factors simultaneously. Factorial designs are most commonly used for this type of investigation. This chapter considers the important class of factorial designs for factors at two levels. It also considers the estimation and testing of factorial effects for location and dispersion models for replicated and unreplicated experiments. The chapter discusses optimal blocking schemes for full factorial designs. It describes how the factorial effects can be computed using regression analysis. The chapter also discusses three fundamental principles: effect hierarchy principle, effect sparsity principle, and effect heredity principle. These principles are often used to justify the development of factorial design theory and data analysis strategies. The chapter also describes a graphical method that uses the normal probability plot for assessing the normality assumption.

• Publisher: John Wiley & Sons,John Wiley & Sons, Incorporated,John Wiley & Sons, Inc
• Subject: dispersion models / effect heredity principle / effect hierarchy principle / effect sparsity principle / full factorial designs / General Engineering & Project Administration / General References / normal probability plot / optimal blocking schemes / regression analysis / unreplicated experiments
• ISBN: 9781119470106, 1119470102