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Modelling Quality with R

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Part of the Use R! book series (USE R)


This chapter provides the necessary background to understand the fundamental ideas of descriptive and inferential statistics. In particular, the basic ideas and tools used in the description both graphical and numerical, of the inherent variability always present in real world are described. Additionally, some of the most usual statistical distributions used in quality control, for both the discrete and the continuous domains are introduced. Finally, the very important topic of statistical inference contains many examples of specific applications of R to solve these problems. The chapter also summarizes a selection of the ISO standards available to help users in the practice of descriptive and inferential statistic problems.


  • Central Limit Theorem
  • Control Chart
  • Discrete Distribution
  • Quantile Function
  • Hypergeometric Distribution

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  1. 1.

    The data frame is also available in the SixSigma package.

  2. 2.

    Actually, a version of those quartiles called hinches, see [5] and?boxplot.stats.

  3. 3.

    A normal distribution with μ = 0 and σ = 1.


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Cano, E.L., Moguerza, J.M., Corcoba, M.P. (2015). Modelling Quality with R. In: Quality Control with R. Use R!. Springer, Cham.

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