Publikation:

A Multistep, Cluster-Based Multivariate Chart for Retrospective Monitoring of Individuals

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Datum

2009

Autor:innen

Jobe, J. Marcus

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URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-100868
DOI (zitierfähiger Link)
https://doi.org/10.1080/00224065.2009.11917789
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Open Access-Veröffentlichung

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Mathematik und Statistik: Publikationen
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Published

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Journal of Quality Technology. 2009, 41(4), pp. 323-339. ISSN 0022-4065. eISSN 2575-6230. Available under: doi: 10.1080/00224065.2009.11917789

Zusammenfassung

The presence of several outliers in an individuals retrospective multivariate control chart distorts both the sample mean vector and covariance matrix, making the classical Hotelling's T^2 approach unreliable for outlier detection. To overcome the distortion or masking, we propose a computer-intensive multistep cluster-based method. Compared with classical and robust estimation procedures, simulation studies show that our method is usually better and sometimes much better at detecting randomly occurring outliers as well as outliers arising from shifts in the process location. Additional comparisons based on real data are given.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
310 Statistik

Schlagwörter

Bruchpunkt, Mahalanobis-Distanz, Gleitende Mittelwert und Medoid, breakdown point, cluster analysis, kernel estimation, Mahalanobis distance, moving average and medoid

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ISO 690JOBE, J. Marcus, Michael POKOJOVY, 2009. A Multistep, Cluster-Based Multivariate Chart for Retrospective Monitoring of Individuals. In: Journal of Quality Technology. 2009, 41(4), pp. 323-339. ISSN 0022-4065. eISSN 2575-6230. Available under: doi: 10.1080/00224065.2009.11917789
BibTex
@article{Jobe2009Multi-830,
  year={2009},
  doi={10.1080/00224065.2009.11917789},
  title={A Multistep, Cluster-Based Multivariate Chart for Retrospective Monitoring of Individuals},
  number={4},
  volume={41},
  issn={0022-4065},
  journal={Journal of Quality Technology},
  pages={323--339},
  author={Jobe, J. Marcus and Pokojovy, Michael}
}
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