On the Critical Value Behaviour of Multiple Decision Procedures
Identifieur interne : 001227 ( Istex/Corpus ); précédent : 001226; suivant : 001228On the Critical Value Behaviour of Multiple Decision Procedures
Auteurs : H. Finner ; M. RotersSource :
- Scandinavian Journal of Statistics [ 0303-6898 ] ; 2000-09.
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Abstract
In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.
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DOI: 10.1111/1467-9469.00207
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Roters</name><affiliation><mods:affiliation>Universitat Trier</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:32048F325753CE9687E002A74B7D9EE58EF9AB27</idno><date when="2000" year="2000">2000</date><idno type="doi">10.1111/1467-9469.00207</idno><idno type="url">https://api.istex.fr/document/32048F325753CE9687E002A74B7D9EE58EF9AB27/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001227</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001227</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On the Critical Value Behaviour of Multiple Decision Procedures</title><author><name sortKey="Finner, H" sort="Finner, H" uniqKey="Finner H" first="H." last="Finner">H. Finner</name><affiliation><mods:affiliation>Universitat Trier</mods:affiliation></affiliation></author><author><name sortKey="Roters, M" sort="Roters, M" uniqKey="Roters M" first="M." last="Roters">M. Roters</name><affiliation><mods:affiliation>Universitat Trier</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Scandinavian Journal of Statistics</title><idno type="ISSN">0303-6898</idno><idno type="eISSN">1467-9469</idno><imprint><publisher>Blackwell Publishers Ltd</publisher><pubPlace>Oxford, UK and Boston, USA</pubPlace><date type="published" when="2000-09">2000-09</date><biblScope unit="volume">27</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="563">563</biblScope><biblScope unit="page" to="573">573</biblScope></imprint><idno type="ISSN">0303-6898</idno></series><idno type="istex">32048F325753CE9687E002A74B7D9EE58EF9AB27</idno><idno type="DOI">10.1111/1467-9469.00207</idno><idno type="ArticleID">SJOS207</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0303-6898</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Bonferroni test procedure</term><term>asymptotic critical value behaviour</term><term>familywise error rate</term><term>hazard rate</term><term>independent p‐values</term><term>length of confidence intervals</term><term>multiple comparisons</term><term>multiple level</term><term>multiple test procedure</term><term>product‐type inequality</term><term>step‐down test</term><term>step‐up test</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.</div></front></TEI><istex><corpusName>wiley</corpusName><author><json:item><name>H. Finner</name><affiliations><json:string>Universitat Trier</json:string></affiliations></json:item><json:item><name>M. 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Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.</abstract><qualityIndicators><score>6.248</score><pdfVersion>1.3</pdfVersion><pdfPageSize>485 x 697 pts</pdfPageSize><refBibsNative>false</refBibsNative><abstractCharCount>748</abstractCharCount><pdfWordCount>5736</pdfWordCount><pdfCharCount>25871</pdfCharCount><pdfPageCount>11</pdfPageCount><abstractWordCount>104</abstractWordCount></qualityIndicators><title>On the Critical Value Behaviour of Multiple Decision Procedures</title><refBibs><json:item><author><json:item><name>C,W Dunnett</name></json:item><json:item><name>A,C Tamhane</name></json:item></author><host><volume>86</volume><pages><last>170</last><first>162</first></pages><author></author><title>J. Amer. Statist. Assoc</title><publicationDate>1992</publicationDate></host><title>A step-up multiple test procedure</title><publicationDate>1992</publicationDate></json:item><json:item><author><json:item><name>H Finner</name></json:item><json:item><name>M Roters</name></json:item></author><host><volume>46</volume><pages><last>349</last><first>343</first></pages><author></author><title>Ann. Inst. Statist. Math</title><publicationDate>1994</publicationDate></host><title>On the limit behaviour of the joint distribution function of order statistics</title><publicationDate>1994</publicationDate></json:item><json:item><author><json:item><name>H Finner</name></json:item><json:item><name>M Roters</name></json:item></author><host><volume>26</volume><pages><last>524</last><first>505</first></pages><author></author><title>Ann. Statist</title><publicationDate>1998</publicationDate></host><title>Asymptotic comparison of step-down and step-up multiple test procedures based on exchangeable test statistics</title><publicationDate>1998</publicationDate></json:item><json:item><author><json:item><name>H Finner</name></json:item><json:item><name>M Roters</name></json:item></author><host><volume>79</volume><pages><last>30</last><first>11</first></pages><author></author><title>J. Statist. Plann. 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Supposing that <i>n</i> hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when <i>n</i> increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.</p></abstract></abstractGroup></contentMeta></header></component></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>On the Critical Value Behaviour of Multiple Decision Procedures</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>On the Critical Value Behaviour of Multiple Decision Procedures</title></titleInfo><name type="personal"><namePart type="given">H.</namePart><namePart type="family">Finner</namePart><affiliation>Universitat Trier</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">M.</namePart><namePart type="family">Roters</namePart><affiliation>Universitat Trier</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="article" displayLabel="article"></genre><originInfo><publisher>Blackwell Publishers Ltd</publisher><place><placeTerm type="text">Oxford, UK and Boston, USA</placeTerm></place><dateIssued encoding="w3cdtf">2000-09</dateIssued><copyrightDate encoding="w3cdtf">2000</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step‐down and step‐up procedures will be compared. Some general theoretic results are derived and applied for various distributions.</abstract><subject lang="en"><genre>keywords</genre><topic>asymptotic critical value behaviour</topic><topic>Bonferroni test procedure</topic><topic>familywise error rate</topic><topic>hazard rate</topic><topic>independent p‐values</topic><topic>length of confidence intervals</topic><topic>multiple comparisons</topic><topic>multiple level</topic><topic>multiple test procedure</topic><topic>product‐type inequality</topic><topic>step‐down test</topic><topic>step‐up test</topic></subject><relatedItem type="host"><titleInfo><title>Scandinavian Journal of Statistics</title></titleInfo><genre type="journal">journal</genre><identifier type="ISSN">0303-6898</identifier><identifier type="eISSN">1467-9469</identifier><identifier type="DOI">10.1111/(ISSN)1467-9469</identifier><identifier type="PublisherID">SJOS</identifier><part><date>2000</date><detail type="volume"><caption>vol.</caption><number>27</number></detail><detail type="issue"><caption>no.</caption><number>3</number></detail><extent unit="pages"><start>563</start><end>573</end><total>11</total></extent></part></relatedItem><identifier type="istex">32048F325753CE9687E002A74B7D9EE58EF9AB27</identifier><identifier type="DOI">10.1111/1467-9469.00207</identifier><identifier type="ArticleID">SJOS207</identifier><accessCondition type="use and reproduction" contentType="copyright">Board of the Foundation of the Scandinavian Journal of Statistics 2000</accessCondition><recordInfo><recordContentSource>WILEY</recordContentSource><recordOrigin>Blackwell Publishers Ltd</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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