[8] Inference for Full and Fractional Factorial Studies

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Inference for Full and Fractional Factorial Studies

Stephen B. Vardeman & J. Marcus Jobe

This chapter is part of: Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis

Description
Chapter 7 began this book’s exposition of inference methods for multisample studies. The methods there neither require nor make use of any special structure relating the samples. They are both widely applicable and practically informative tools. But Chapter 4 illustrated on an informal or descriptive level the engineering importance of discovering, interpreting, and ultimately exploiting structure relating a response to one or more other variables. This chapter begins to provide inference methods to support these activities. This chapter builds on the descriptive statistics material of Section 4.3 and the tools of Chapter 7 to provide methods for full and fractional factorial studies. It begins with a discussion of some inference methods for complete two-way factorials. Then complete p-way factorial inference is considered with special attention to the 2p case. Then two successive sections describe what is possible in the way of factorial inference from well-chosen fractions of a 2p factorial. First, half fractions are considered, and then 1=2q fractions for q > 1.

Description

Chapter 7 began this book’s exposition of inference methods for multisample studies. The methods there neither require nor make use of any special structure relating the samples. They are both widely applicable and practically informative tools. But Chapter 4 illustrated on an informal or descriptive level the engineering importance of discovering, interpreting, and ultimately exploiting structure relating a response to one or more other variables. This chapter begins to provide inference methods to support these activities. This chapter builds on the descriptive statistics material of Section 4.3 and the tools of Chapter 7 to provide methods for full and fractional factorial studies. It begins with a discussion of some inference methods for complete two-way factorials. Then complete p-way factorial inference is considered with special attention to the 2p case. Then two successive sections describe what is possible in the way of factorial inference from well-chosen fractions of a 2p factorial. First, half fractions are considered, and then 1=2q fractions for q > 1.

Details

Published	Published By	Pages
Jan. 12, 2023	Iowa State University Digital Press	104
License Information
© 2001 Stephen B. Vardeman and J. Marcus Jobe. Basic Engineering Data Collection and Analysis is available under a Creative Commons Attribution NonCommercial ShareAlike (CC BY-NC-SA) 4.0 International license. You may share and adapt the material, so long as you provide appropriate credit to the original authors, do not use the material for commercial purposes, and any adaptations or remixes of the material which you create are distributed under the same license as the original.
Citation
Vardeman S. & Jobe J. 2023. Inference for Full and Fractional Factorial Studies. In Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis