{"data":{"id":"10.6084/m9.figshare.1266499","type":"dois","attributes":{"doi":"10.6084/m9.figshare.1266499","prefix":"10.6084","suffix":"m9.figshare.1266499","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Bell, Richard C.","nameType":"Personal","givenName":"Richard C.","familyName":"Bell","affiliation":[],"nameIdentifiers":[]},{"name":"L. Allison Jones-Farmer","affiliation":[],"nameIdentifiers":[]},{"name":"Billor, Nedret","nameType":"Personal","givenName":"Nedret","familyName":"Billor","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"A Distribution-Free Multivariate Phase I Location Control Chart for Subgrouped Data from Elliptical Distributions"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2014,"subjects":[{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Mathematics","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Biological Sciences"},{"subject":"Genetics"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Biological sciences","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Engineering"}],"contributors":[],"dates":[{"date":"2014-12-11","dateType":"Created"},{"date":"2015-12-02","dateType":"Updated"},{"date":"2014","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1080/00401706.2013.879264","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["1081325 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"In quality control, a proper Phase I analysis is essential to the success of Phase II monitoring. A literature review reveals no distribution-free Phase I multivariate techniques in existence. This research develops a Phase I location control chart for multivariate elliptical processes. The resulting in-control reference sample can then be used to estimate the parameters for Phase II monitoring. Using Monte Carlo simulation, the proposed method is compared with the Hotelling's \u003ci\u003eT\u003c/i\u003e\u003csup\u003e2\u003c/sup\u003e Phase I chart. Although Hotelling's \u003ci\u003eT\u003c/i\u003e\u003csup\u003e2\u003c/sup\u003e chart is preferred when the data are multivariate normal, the proposed method is shown to perform significantly better under nonnormality. 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