ENBIS-18 in Nancy

2 – 25 September 2018; Ecoles des Mines, Nancy (France) Abstract submission: 20 December 2017 – 4 June 2018

Implementation of Standardised Multivariate Capability Indices in R

4 September 2018, 09:00 – 09:20


Submitted by
Emilio L. Cano
Emilio L. Cano (University of Castilla-La Mancha), Matías Gámez Martínez (University of Castilla-La Mancha), Noelia García Rubio (University of Castilla-La Mancha)
Univariate capability indices are well known by industry as they are usually implemented in widely spread commercial software. However, in many industrial situations, Critical to Quality (CTQ) characteristics are multivariate. A plethora of multivariate capability indices can be computed, but the most common software packages lack of such computations. Nevertheless, such complex indices are defined both in scientific publications and in international standards. But such computations are not trivial, and it might be cumbersome, or even technically impossible, to be performed by busy industry teams. Thus, there is a gap,not only between Academia and Industry, but also between International Standards and Industry, which is a paradox. Open source software is an innovative way of filling that gap.

In this work, the process capability indices for characteristics following a multivariate normal distribution defined in the ISO 22514-6 International Standard are implemented in the R Statistical Software and programming language. The methods are illustrated with the numerical examples included within the own Standard.Therefore, the Open Source developed software can be easily checked against the Standard, both via the source code and the results on example data. At the end, compliance can be assured to third parties, overcoming the main barrier for free-software-skeptical SPC practitioners.
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