Abstract
Over the past few years continuously new process capability indices have been developed, most of them with the aim to add some feature missed in former process capability indices. Thus, for nearly any thinkable situation now a special index exists which makes choosing a certain index as difficult as interpreting and comparing index values correctly.
In this paper we propose the use of the expected value of a certain type of function, the so-called desirability function, to assess the capability of a process. The resulting index may be used analogously to the classical indices related to C p , but can be adapted to nearly any process and any specification. It even allows a comparison between different processes regardless of their distribution and may be extended straightforwardly to multivariate scenarios. Furthermore, its properties compare favorably to the properties of the “classical” indices.
The work of Claus Weihs has been partly supported by the Collaborative Research Centre “Reduction of Complexity in Multivariate Data Structures” (SFB 475) of the German Research Foundation (DFG). The simulations were run on personal computers using the software S-PLUS 4.3 (Statistical Sciences Inc., Seattle). The simulation programs are available through the first author.
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© 2005 Springer-Verlag Berlin · Heidelberg
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Jessenberger, J., Weihs, C. (2005). Desirability to Characterize Process Capability. In: Weihs, C., Gaul, W. (eds) Classification — the Ubiquitous Challenge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28084-7_76
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DOI: https://doi.org/10.1007/3-540-28084-7_76
Publisher Name: Springer, Berlin, Heidelberg
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