Nested, or Hierarchical, Designs

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

Chapter Chapter 7 in Experimental Design, 2018, pp 235-263 from Springer

Abstract: Abstract In previous chapters, we have seen one- and two-factor designs and how to analyze them. In a factorial design, such as the one discussed in Chap. 6 , the levels of the two factors – for convenience, A and B – are crossed, that is, every level of B will occur with every level of A. In practice, this means that, if we have three levels per factor, we will have nine experimental runs (without considering replicates). In this chapter, we will see a different type of design, called nested designs, where the levels of factor B will occur only at certain levels of A. For instance, we can have three levels of A and nine levels of B, but levels 1–3, 4–6, and 7–9 of B will only occur when the levels of A are 1, 2, and 3, respectively.

Date: 2018
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DOI: 10.1007/978-3-319-64583-4_7

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