Simultaneous Confidence Bands for Linear Regression Models

In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of the American Statistical Association 1970-03, Vol.65 (329), p.413-421
1. Verfasser: Bowden, David C.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 421
container_issue 329
container_start_page 413
container_title Journal of the American Statistical Association
container_volume 65
creator Bowden, David C.
description In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.
doi_str_mv 10.1080/01621459.1970.10481092
format Article
fullrecord <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_journals_1311793573</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>2283605</jstor_id><sourcerecordid>2283605</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-32ae6480d1380dfb90dabc97fbc6ec62c119bae99d3185c60f73f2487cda38ea3</originalsourceid><addsrcrecordid>eNqFkNtKxDAQhoMouK6-ghT0tmsmaZvEu3XxBCuCB_AuZHOQLt1kTVpk396WuuCdczEDw_fPwIfQOeAZYI6vMFQEilLMQLBhVXDAghygCZSU5YQVH4doMkD5QB2jk5TWuC_G-QRdv9abrmmVt6FL2SJ4Vxvrtc1ulDcpcyFmy9pbFbMX-xltSnXw2VMwtkmn6MipJtmz3zlF73e3b4uHfPl8_7iYL3NNoWpzSpStCo4N0L65lcBGrbRgbqUrqyuiAcRKWSEMBV7qCjtGHSk400ZRbhWdoovx7jaGr86mVq5DF33_UgIFYIKWjPZUNVI6hpSidXIb642KOwlYDp7k3pMcPMm9pz54OQbXqQ3xb4pQzCQhnFa47LH5iNW-l7JR3yE2RrZq14ToovK6TpL-8-oHplp6Ng</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1311793573</pqid></control><display><type>article</type><title>Simultaneous Confidence Bands for Linear Regression Models</title><source>Periodicals Index Online</source><source>JSTOR Mathematics &amp; Statistics</source><source>JSTOR Archive Collection A-Z Listing</source><creator>Bowden, David C.</creator><creatorcontrib>Bowden, David C.</creatorcontrib><description>In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.</description><identifier>ISSN: 0162-1459</identifier><identifier>EISSN: 1537-274X</identifier><identifier>DOI: 10.1080/01621459.1970.10481092</identifier><language>eng</language><publisher>Washington: Taylor &amp; Francis Group</publisher><subject>Confidence interval ; Gaussian distributions ; Line segments ; Linear models ; Linear regression ; Mathematical vectors ; Regression analysis ; Statistics ; Theory and Methods</subject><ispartof>Journal of the American Statistical Association, 1970-03, Vol.65 (329), p.413-421</ispartof><rights>Copyright Taylor &amp; Francis Group, LLC 1970</rights><rights>Copyright 1970 American Statistical Association</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-32ae6480d1380dfb90dabc97fbc6ec62c119bae99d3185c60f73f2487cda38ea3</citedby><cites>FETCH-LOGICAL-c316t-32ae6480d1380dfb90dabc97fbc6ec62c119bae99d3185c60f73f2487cda38ea3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2283605$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2283605$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,832,27869,27924,27925,58017,58021,58250,58254</link.rule.ids></links><search><creatorcontrib>Bowden, David C.</creatorcontrib><title>Simultaneous Confidence Bands for Linear Regression Models</title><title>Journal of the American Statistical Association</title><description>In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.</description><subject>Confidence interval</subject><subject>Gaussian distributions</subject><subject>Line segments</subject><subject>Linear models</subject><subject>Linear regression</subject><subject>Mathematical vectors</subject><subject>Regression analysis</subject><subject>Statistics</subject><subject>Theory and Methods</subject><issn>0162-1459</issn><issn>1537-274X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1970</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNqFkNtKxDAQhoMouK6-ghT0tmsmaZvEu3XxBCuCB_AuZHOQLt1kTVpk396WuuCdczEDw_fPwIfQOeAZYI6vMFQEilLMQLBhVXDAghygCZSU5YQVH4doMkD5QB2jk5TWuC_G-QRdv9abrmmVt6FL2SJ4Vxvrtc1ulDcpcyFmy9pbFbMX-xltSnXw2VMwtkmn6MipJtmz3zlF73e3b4uHfPl8_7iYL3NNoWpzSpStCo4N0L65lcBGrbRgbqUrqyuiAcRKWSEMBV7qCjtGHSk400ZRbhWdoovx7jaGr86mVq5DF33_UgIFYIKWjPZUNVI6hpSidXIb642KOwlYDp7k3pMcPMm9pz54OQbXqQ3xb4pQzCQhnFa47LH5iNW-l7JR3yE2RrZq14ToovK6TpL-8-oHplp6Ng</recordid><startdate>19700301</startdate><enddate>19700301</enddate><creator>Bowden, David C.</creator><general>Taylor &amp; Francis Group</general><general>American Statistical Association</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JRZRW</scope><scope>K30</scope><scope>PAAUG</scope><scope>PAWHS</scope><scope>PAWZZ</scope><scope>PAXOH</scope><scope>PBHAV</scope><scope>PBQSW</scope><scope>PBYQZ</scope><scope>PCIWU</scope><scope>PCMID</scope><scope>PCZJX</scope><scope>PDGRG</scope><scope>PDWWI</scope><scope>PETMR</scope><scope>PFVGT</scope><scope>PGXDX</scope><scope>PIHIL</scope><scope>PISVA</scope><scope>PJCTQ</scope><scope>PJTMS</scope><scope>PLCHJ</scope><scope>PMHAD</scope><scope>PNQDJ</scope><scope>POUND</scope><scope>PPLAD</scope><scope>PQAPC</scope><scope>PQCAN</scope><scope>PQCMW</scope><scope>PQEME</scope><scope>PQHKH</scope><scope>PQMID</scope><scope>PQNCT</scope><scope>PQNET</scope><scope>PQSCT</scope><scope>PQSET</scope><scope>PSVJG</scope><scope>PVMQY</scope><scope>PZGFC</scope></search><sort><creationdate>19700301</creationdate><title>Simultaneous Confidence Bands for Linear Regression Models</title><author>Bowden, David C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-32ae6480d1380dfb90dabc97fbc6ec62c119bae99d3185c60f73f2487cda38ea3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1970</creationdate><topic>Confidence interval</topic><topic>Gaussian distributions</topic><topic>Line segments</topic><topic>Linear models</topic><topic>Linear regression</topic><topic>Mathematical vectors</topic><topic>Regression analysis</topic><topic>Statistics</topic><topic>Theory and Methods</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bowden, David C.</creatorcontrib><collection>CrossRef</collection><collection>Periodicals Index Online Segment 35</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access &amp; Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access &amp; Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access &amp; Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access &amp; Build (Plan A) - APAC</collection><collection>Primary Sources Access &amp; Build (Plan A) - Canada</collection><collection>Primary Sources Access &amp; Build (Plan A) - West</collection><collection>Primary Sources Access &amp; Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access &amp; Build (Plan A) - Midwest</collection><collection>Primary Sources Access &amp; Build (Plan A) - North Central</collection><collection>Primary Sources Access &amp; Build (Plan A) - Northeast</collection><collection>Primary Sources Access &amp; Build (Plan A) - South Central</collection><collection>Primary Sources Access &amp; Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><jtitle>Journal of the American Statistical Association</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bowden, David C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simultaneous Confidence Bands for Linear Regression Models</atitle><jtitle>Journal of the American Statistical Association</jtitle><date>1970-03-01</date><risdate>1970</risdate><volume>65</volume><issue>329</issue><spage>413</spage><epage>421</epage><pages>413-421</pages><issn>0162-1459</issn><eissn>1537-274X</eissn><abstract>In this article a procedure is given for constructing confidence bands of various forms for linear regression models. Application of the procedure yields, as special cases, hyperbolic, straight line segment, uniform width and trapezoidal confidence bands.</abstract><cop>Washington</cop><pub>Taylor &amp; Francis Group</pub><doi>10.1080/01621459.1970.10481092</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0162-1459
ispartof Journal of the American Statistical Association, 1970-03, Vol.65 (329), p.413-421
issn 0162-1459
1537-274X
language eng
recordid cdi_proquest_journals_1311793573
source Periodicals Index Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing
subjects Confidence interval
Gaussian distributions
Line segments
Linear models
Linear regression
Mathematical vectors
Regression analysis
Statistics
Theory and Methods
title Simultaneous Confidence Bands for Linear Regression Models
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T06%3A29%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Simultaneous%20Confidence%20Bands%20for%20Linear%20Regression%20Models&rft.jtitle=Journal%20of%20the%20American%20Statistical%20Association&rft.au=Bowden,%20David%20C.&rft.date=1970-03-01&rft.volume=65&rft.issue=329&rft.spage=413&rft.epage=421&rft.pages=413-421&rft.issn=0162-1459&rft.eissn=1537-274X&rft_id=info:doi/10.1080/01621459.1970.10481092&rft_dat=%3Cjstor_proqu%3E2283605%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1311793573&rft_id=info:pmid/&rft_jstor_id=2283605&rfr_iscdi=true