Two-Level Fractional-Factorial Designs

Paul D. Berger, Robert E. Maurer and Giovana B. Celli
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Paul D. Berger: Bentley University
Robert E. Maurer: Boston University, Questrom School of Business
Giovana B. Celli: Cornell University

Chapter Chapter 11 in Experimental Design, 2018, pp 371-421 from Springer

Abstract: Abstract We continue our examination of two-level factorial designs with discussion of a design technique that is very popular because it allows the study of a relatively large number of factors without running all combinations of the levels of the factors, as done in our earlier 2 k designs. In Chap. 10 , we introduced confounding schemes, where we ran all 2 k treatment combinations, although in two or more blocks. Here, we introduce the technique of running a fractional design, that is, running only a portion, or fraction, of all the treatment combinations. Of course, whatever fraction of the total number of combinations is going to be run, the specific treatment combinations chosen must be carefully determined. These designs are called fractional-factorial designs and are widely used for many types of practical problems.

Date: 2018
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DOI: 10.1007/978-3-319-64583-4_11

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