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Shewhart’s Idea of Predictability and Modern Statistics

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Frontiers in Statistical Quality Control 11

Part of the book series: Frontiers in Statistical Quality Control ((FSQC))

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Abstract

Shewhart’s view on statistical control as presented in his 1931 book is connected to predictability and it seems to be inspired by philosophical theories. At that time, there was no proper statistical framework available when Shewhart implemented his ideas on statistical control. This was not a problem for standard settings for which the original Shewhart control chart was developed, but there are currently several much more complicated situations where the standard tools of Shewhart do not suffice without modification. We will discuss whether current statistical notions like hypothesis testing (both the standard Neyman-Pearson theory and other forms like sequential statistics and equivalence testing), prediction intervals and tolerance intervals can be useful in these other settings. We will also discuss alternative settings of statistical control proposed in the literature including Bayesian settings.

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Acknowledgements

We would like to thank the reviewer of our paper for his detailed reading of our paper. His comments led to several clarifications in our paper.

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Authors and Affiliations

  1. Department of Mathematics, Eindhoven University of Technology, 513, 5600 MB, Eindhoven, The Netherlands

    Alessandro Di Bucchianico & Edwin R. van den Heuvel

Authors
  1. Alessandro Di Bucchianico
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  2. Edwin R. van den Heuvel
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Correspondence to Alessandro Di Bucchianico .

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Editors and Affiliations

  1. Helmut Schmidt University, Hamburg, Germany

    Sven Knoth

  2. Europa-Universität Viadrina, Frankfurt/Oder, Brandenburg, Germany

    Wolfgang Schmid

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Di Bucchianico, A., van den Heuvel, E.R. (2015). Shewhart’s Idea of Predictability and Modern Statistics. In: Knoth, S., Schmid, W. (eds) Frontiers in Statistical Quality Control 11. Frontiers in Statistical Quality Control. Springer, Cham. https://doi.org/10.1007/978-3-319-12355-4_15

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