Optimal repeated measurements designs for correlated observations and analysis by weighted least squares
Identifieur interne : 001818 ( Istex/Corpus ); précédent : 001817; suivant : 001819Optimal repeated measurements designs for correlated observations and analysis by weighted least squares
Auteurs : Joachim KunertSource :
- Biometrika [ 0006-3444 ] ; 1985-08.
Abstract
We consider a model for repeated measurements designs where the measurements on the same unit are assumed to be correlated with known correlation coefficient. It is shown that Latin squares with an additional balancing property are E-optimal for the weighted least squares estimate.
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DOI: 10.1093/biomet/72.2.375
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Statist</title><publicationDate>1984</publicationDate></host><title>Optimality of balanced uniform repeated measurements designs</title><publicationDate>1984</publicationDate></json:item><json:item><author><json:item><name>Taketjohi </name></json:item><json:item><name>K </name></json:item></author><host><volume>8</volume><pages><last>33</last><first>29</first></pages><author></author><title>Rep. Statist. Appl. Res., Union Jap. Set. Eng</title><publicationDate>1961</publicationDate></host><title>On the optimality of certain types of PBIB designs</title><publicationDate>1961</publicationDate></json:item><json:item><author><json:item><name>Williams </name></json:item><json:item><name>E,J </name></json:item></author><host><volume>2</volume><pages><last>68</last><first>149</first></pages><author></author><title>Ausi. J. Sci. Res. A</title><publicationDate>1949</publicationDate></host><title>Experimental designs balanced for the estimation of residual effects</title><publicationDate>1949</publicationDate></json:item><json:item><author><json:item><name>Williams </name></json:item><json:item><name>R,M </name></json:item></author><host><volume>39</volume><pages><last>67</last><first>151</first></pages><author></author><title>Bicnnetrilca</title><publicationDate>1952</publicationDate></host><title>Experimental designs for serially correlated observations</title><publicationDate>1952</publicationDate></json:item></refBibs><genre><json:string>research-article</json:string></genre><host><volume>72</volume><publisherId><json:string>biomet</json:string></publisherId><pages><last>389</last><first>375</first></pages><issn><json:string>0006-3444</json:string></issn><issue>2</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><eissn><json:string>1464-3510</json:string></eissn><title>Biometrika</title></host><categories><wos><json:string>science</json:string><json:string>statistics & probability</json:string><json:string>mathematical & computational biology</json:string><json:string>biology</json:string></wos><scienceMetrix><json:string>natural sciences</json:string><json:string>mathematics & statistics</json:string><json:string>statistics & probability</json:string></scienceMetrix></categories><publicationDate>1985</publicationDate><copyrightDate>1985</copyrightDate><doi><json:string>10.1093/biomet/72.2.375</json:string></doi><id>D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749</id><score>0.7692323</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a">Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>Oxford University Press</publisher><availability><p>© 1985 Biometrika Trust</p></availability><date>1985</date></publicationStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a">Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title><author xml:id="author-1"><persName><forename type="first">JOACHIM</forename><surname>KUNERT</surname></persName><affiliation>Fachbereich I V-Angewandte Math/Statistik, Universität Trier, Postfach 3825, 5500 Trier, Federal Republic of Germany</affiliation></author></analytic><monogr><title level="j">Biometrika</title><idno type="pISSN">0006-3444</idno><idno type="eISSN">1464-3510</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="1985-08"></date><biblScope unit="volume">72</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="375">375</biblScope><biblScope unit="page" to="389">389</biblScope></imprint></monogr><idno type="istex">D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749</idno><idno type="DOI">10.1093/biomet/72.2.375</idno><idno type="ArticleID">72.2.375</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1985</date></creation><abstract><p>We consider a model for repeated measurements designs where the measurements on the same unit are assumed to be correlated with known correlation coefficient. 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It is shown that Latin squares with an additional balancing property are <italic>E</italic>-optimal for the weighted least squares estimate.</p></abstract><kwd-group><kwd>Correlated observations</kwd><kwd><italic>E</italic>-optimality</kwd><kwd>Latin square</kwd><kwd>Repeated measurements design</kwd><kwd>Weighted least squares</kwd><kwd>Williams design</kwd></kwd-group></article-meta></front></article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title></titleInfo><name type="personal"><namePart type="given">JOACHIM</namePart><namePart type="family">KUNERT</namePart><affiliation>Fachbereich I V-Angewandte Math/Statistik, Universität Trier, Postfach 3825, 5500 Trier, Federal Republic of Germany</affiliation></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="research-article"></genre><subject><topic>Articles</topic></subject><originInfo><publisher>Oxford University Press</publisher><dateIssued encoding="w3cdtf">1985-08</dateIssued><copyrightDate encoding="w3cdtf">1985</copyrightDate></originInfo><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract>We consider a model for repeated measurements designs where the measurements on the same unit are assumed to be correlated with known correlation coefficient. 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