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2003•Wiley series in probability and statisticsRequires access

Analysis of Fractional Factorial Experiments

Robert L Mason, Richard F. Gunst, James L. Hess

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Abstract

In this chapter, procedures that are commonly used to analyze fractional factorial experiments are presented. The procedures are extended to unbalanced, completely randomized designs. We present analysis of these major topics: unbalanced, completely randomized designs with fixed effects; two-level, and three-level, fractional factorial experiments; fractional experiments containing a mix of two-level and three-level factors; and screening experiments. A problem solving section appears at the end of the chapter.

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What this paper is about

In this chapter, procedures that are commonly used to analyze fractional factorial experiments are presented. The procedures are extended to unbalanced, completely randomized designs. We present analysis of these major topics: unbalanced, completely randomized designs with fixed effects; two-level, and three-level, fractional factorial experiments; fractional experiments containing a mix of two-level and three-level factors; and screening experiments. A problem solving section appears at the end of the chapter.

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Available abstract

In this chapter, procedures that are commonly used to analyze fractional factorial experiments are presented. The procedures are extended to unbalanced, completely randomized designs. We present analysis of these major topics: unbalanced, completely randomized designs with fixed effects; two-level, and three-level, fractional factorial experiments; fractional experiments containing a mix of two-level and three-level factors; and screening experiments. A problem solving section appears at the end of the chapter.

Key concepts: Fractional factorial design, Factorial experiment, Mathematics, Factorial, Plackett–Burman design, Statistics, Mathematical analysis, Response surface methodology

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