Theory of Orthogonal Designs

Overview

This chapter provides the mathematical and statistical background for designs constructed by the FACTEX procedure; it also outlines the search algorithm that is used to find suitable construction rules. Note that the material in this chapter is general and theoretical; you do not need to read this chapter to use the procedure for constructing most common experimental designs. On the other hand, you should read this chapter

to understand the general structure of designs that can be constructed with the FACTEX procedure
to construct designs for factors with more than two levels, especially if interactions are involved
to improve the search used by the procedure when constructing complicated designs for many factors

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