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Design and Analysis of Experiments by Douglas Montgomery: A Supplement for Using JMP by James Wisnowski, Andrew Karl, Heath Rushing

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9Three-Level and Mixed-Level Factorial and Fractional Factorial Designs

Example 9.1 The 33 Design

Example 9.2 The 32 Design Confounded in 3 Blocks

Example 9.3 The Spin Coating Experiment

Example 9.4 An Experiment with Unusual Blocking Requirements

Three-level factorial designs are introduced in this chapter. These designs are often used in experiments where at least one of the factors is qualitative (categorical) and naturally takes on three levels. Including three levels of each factor allows for the calculation of quadratic effects in quantitative factors. However, response surface designs (Chapter 11) are often more efficient for modeling quadratic relationships. The size of 3k designs increases rapidly with k. For example, a 24 design requires ...

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