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2015 | OriginalPaper | Chapter

10. Nonlinear Profiles with R

Authors : Emilio L. Cano, Javier M. Moguerza, Mariano Prieto Corcoba

Published in: Quality Control with R

Publisher: Springer International Publishing

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Abstract

In many situations, processes are often represented by a function that involves a response variable and a number of predictive variables. In this chapter, we show how to treat data whose relation between the predictive and response variables is nonlinear and, as a consequence, cannot be adequately represented by a linear model. This kind of data are known as nonlinear profiles. Our aim is to show how to build nonlinear control limits and a baseline prototype using a set of observed in-control profiles. Using R, we show how to afford situations in which nonlinear profiles arise and how to plot easy-to-use nonlinear control charts.

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previous chapter Control Charts with R

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Cano, E.L., Moguerza, J.M., Redchuk, A.: Six sigma with R. Statistical Engineering for Process Improvement, Use R!, vol. 36. Springer, New York (2012). url http://www.springer.com/statistics/book/978-1-4614-3651-5

Cano, J., Moguerza, J.M., Psarakis, S., Yannacopoulos, A.N.: Using statistical shape theory for the monitoring of nonlinear profiles. Appl. Stoch. Model. Bus. Ind. 31(2), 160–177 (2015). doi:10.1002/asmb.2059. url http://dx.doi.org/10.1002/asmb.2059

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Moguerza, J., Muñoz, A., Psarakis, S.: Monitoring nonlinear profiles using support vector machines. In: Rueda, L., Mery, D., Kittler, J. (eds.) Progress in Pattern Recognition, Image Analysis and Applications. Lecture Notes in Computer Science, vol. 4756, pp. 574–583. Springer, Heidelberg (2007). doi:10.1007/978-3-540-76725-1_60. url http://dx.doi.org/10.1007/978-3-540-76725-1_60

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Title: Nonlinear Profiles with R
Authors: Emilio L. Cano
Javier M. Moguerza
Mariano Prieto Corcoba
Publisher: Springer International Publishing
Book: Quality Control with R
Print ISBN: 978-3-319-24044-2

Electronic ISBN: 978-3-319-24046-6

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-319-24046-6_10

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