Influence and sensitivity measures in correspondence analysis
Since correspondence analysis appears to be sensitive to outliers, it is important to be able to evaluate the sensitivity of the data on the results. This article deals with measuring the influence of rows and columns on the results obtained with correspondence analysis. To establish the influence of individuals on the analysis, we use the notion of influence curve and we propose a general criterion based on the mean square error to measure the sensitivity of the correspondence analysis and its robustness. A numerical example is presented to illustrate the notions developed in this article.
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dig-cirad-fr-5434422024-01-28T15:41:12Z http://agritrop.cirad.fr/543442/ http://agritrop.cirad.fr/543442/ Influence and sensitivity measures in correspondence analysis. Bar-Hen Avner, Mortier Frédéric. 2004. Statistics, 38 (3) : 207-215.https://doi.org/10.1080/02331880410001696080 <https://doi.org/10.1080/02331880410001696080> Influence and sensitivity measures in correspondence analysis Bar-Hen, Avner Mortier, Frédéric eng 2004 Statistics U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 Since correspondence analysis appears to be sensitive to outliers, it is important to be able to evaluate the sensitivity of the data on the results. This article deals with measuring the influence of rows and columns on the results obtained with correspondence analysis. To establish the influence of individuals on the analysis, we use the notion of influence curve and we propose a general criterion based on the mean square error to measure the sensitivity of the correspondence analysis and its robustness. A numerical example is presented to illustrate the notions developed in this article. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/543442/1/543442.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1080/02331880410001696080 10.1080/02331880410001696080 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=199449 info:eu-repo/semantics/altIdentifier/doi/10.1080/02331880410001696080 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1080/02331880410001696080 |
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U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 |
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U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 Bar-Hen, Avner Mortier, Frédéric Influence and sensitivity measures in correspondence analysis |
| description |
Since correspondence analysis appears to be sensitive to outliers, it is important to be able to evaluate the sensitivity of the data on the results. This article deals with measuring the influence of rows and columns on the results obtained with correspondence analysis. To establish the influence of individuals on the analysis, we use the notion of influence curve and we propose a general criterion based on the mean square error to measure the sensitivity of the correspondence analysis and its robustness. A numerical example is presented to illustrate the notions developed in this article. |
| format |
article |
| topic_facet |
U10 - Informatique, mathématiques et statistiques méthode statistique http://aims.fao.org/aos/agrovoc/c_7377 |
| author |
Bar-Hen, Avner Mortier, Frédéric |
| author_facet |
Bar-Hen, Avner Mortier, Frédéric |
| author_sort |
Bar-Hen, Avner |
| title |
Influence and sensitivity measures in correspondence analysis |
| title_short |
Influence and sensitivity measures in correspondence analysis |
| title_full |
Influence and sensitivity measures in correspondence analysis |
| title_fullStr |
Influence and sensitivity measures in correspondence analysis |
| title_full_unstemmed |
Influence and sensitivity measures in correspondence analysis |
| title_sort |
influence and sensitivity measures in correspondence analysis |
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http://agritrop.cirad.fr/543442/ http://agritrop.cirad.fr/543442/1/543442.pdf |
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AT barhenavner influenceandsensitivitymeasuresincorrespondenceanalysis AT mortierfrederic influenceandsensitivitymeasuresincorrespondenceanalysis |
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