Cook's Distance Measures for Varying Coefficient Models With Functional Responses
The aim of this article is to develop Cook's distance measures for assessing the influence of both atypical curves and observations under varying coefficient model with functional responses. Our Cook's distance measures include Cook's distances for deleting multiple curves and for del...
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Veröffentlicht in: | Technometrics 2015-04, Vol.57 (2), p.268-280 |
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description | The aim of this article is to develop Cook's distance measures for assessing the influence of both atypical curves and observations under varying coefficient model with functional responses. Our Cook's distance measures include Cook's distances for deleting multiple curves and for deleting multiple grid points, and their scaled Cook's distances. We systematically investigate some theoretical properties of these diagnostic measures. Simulation studies are conducted to evaluate the finite sample properties of these Cook's distances under different scenarios. A real diffusion tensor tract dataset is analyzed to illustrate the use of our diagnostic measures. |
doi_str_mv | 10.1080/00401706.2014.914978 |
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Our Cook's distance measures include Cook's distances for deleting multiple curves and for deleting multiple grid points, and their scaled Cook's distances. We systematically investigate some theoretical properties of these diagnostic measures. Simulation studies are conducted to evaluate the finite sample properties of these Cook's distances under different scenarios. A real diffusion tensor tract dataset is analyzed to illustrate the use of our diagnostic measures.</description><identifier>ISSN: 0040-1706</identifier><identifier>EISSN: 1537-2723</identifier><identifier>DOI: 10.1080/00401706.2014.914978</identifier><identifier>PMID: 26257438</identifier><language>eng</language><publisher>United States: Taylor & Francis</publisher><subject>Case deletion ; Diagnostic probability ; Scaled Cook's distance ; Size issue</subject><ispartof>Technometrics, 2015-04, Vol.57 (2), p.268-280</ispartof><rights>Copyright © American Statistical Association and the American Society for Quality 2015</rights><rights>2015 American Statistical Association and the American Society for Quality</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c486t-a842b643f61022a5887186dddedfb6b04422884949f431d11e2731e7ec4e6a333</citedby><cites>FETCH-LOGICAL-c486t-a842b643f61022a5887186dddedfb6b04422884949f431d11e2731e7ec4e6a333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/24587308$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/24587308$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>230,314,780,784,803,832,885,27924,27925,58017,58021,58250,58254</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/26257438$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Gao, Qibing</creatorcontrib><creatorcontrib>Ahn, Mihye</creatorcontrib><creatorcontrib>Zhu, Hongtu</creatorcontrib><title>Cook's Distance Measures for Varying Coefficient Models With Functional Responses</title><title>Technometrics</title><addtitle>Technometrics</addtitle><description>The aim of this article is to develop Cook's distance measures for assessing the influence of both atypical curves and observations under varying coefficient model with functional responses. Our Cook's distance measures include Cook's distances for deleting multiple curves and for deleting multiple grid points, and their scaled Cook's distances. We systematically investigate some theoretical properties of these diagnostic measures. Simulation studies are conducted to evaluate the finite sample properties of these Cook's distances under different scenarios. A real diffusion tensor tract dataset is analyzed to illustrate the use of our diagnostic measures.</description><subject>Case deletion</subject><subject>Diagnostic probability</subject><subject>Scaled Cook's distance</subject><subject>Size issue</subject><issn>0040-1706</issn><issn>1537-2723</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kUtvFDEQhC1ERDaBfwDIN7jMxq-xvRcQWghESoRAPI6Wd6adOMzai3smKP-eGSYPuHDqQ1VXl_oj5ClnS84sO2JMMW6YXgrG1XLF1crYB2TBa2kqYYR8SBaTpZo8--QA8ZIxLoU1j8i-0KI2StoF-bTO-ccLpG8j9j41QM_A41AAaciFfvPlOqZzus4QQmwipJ6e5RY6pN9jf0GPh9T0MSff0c-Au5wQ8DHZC75DeHIzD8nX43df1h-q04_vT9ZvTqtGWd1X3iqx0UoGzZkQvrbWcKvbtoU2bPSGKSWEtWqlVkFJ3nIOwkgOBhoF2kspD8mrOXc3bLbQNmO34ju3K3E7tnbZR_evkuKFO89XTtVC1WYKeHkTUPLPAbB324gNdJ1PkAd03AqtBWd_bqnZ2pSMWCDcneHMTTTcLQ030XAzjXHt-d8V75Zu3z8ans2GS-xzuddVbY1kk_561mMacWz9r1y61vX-ussllJFXRCf_W-E3iN6i1w</recordid><startdate>20150403</startdate><enddate>20150403</enddate><creator>Gao, Qibing</creator><creator>Ahn, Mihye</creator><creator>Zhu, Hongtu</creator><general>Taylor & Francis</general><general>American Society for Quality and the American Statistical Association</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20150403</creationdate><title>Cook's Distance Measures for Varying Coefficient Models With Functional Responses</title><author>Gao, Qibing ; Ahn, Mihye ; Zhu, Hongtu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c486t-a842b643f61022a5887186dddedfb6b04422884949f431d11e2731e7ec4e6a333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Case deletion</topic><topic>Diagnostic probability</topic><topic>Scaled Cook's distance</topic><topic>Size issue</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gao, Qibing</creatorcontrib><creatorcontrib>Ahn, Mihye</creatorcontrib><creatorcontrib>Zhu, Hongtu</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Technometrics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gao, Qibing</au><au>Ahn, Mihye</au><au>Zhu, Hongtu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cook's Distance Measures for Varying Coefficient Models With Functional Responses</atitle><jtitle>Technometrics</jtitle><addtitle>Technometrics</addtitle><date>2015-04-03</date><risdate>2015</risdate><volume>57</volume><issue>2</issue><spage>268</spage><epage>280</epage><pages>268-280</pages><issn>0040-1706</issn><eissn>1537-2723</eissn><abstract>The aim of this article is to develop Cook's distance measures for assessing the influence of both atypical curves and observations under varying coefficient model with functional responses. 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subjects | Case deletion Diagnostic probability Scaled Cook's distance Size issue |
title | Cook's Distance Measures for Varying Coefficient Models With Functional Responses |
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