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.
Url:
DOI: 10.1093/biomet/72.2.375
Links to Exploration step
ISTEX:D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title>
<author wicri:is="90%"><name sortKey="Kunert, Joachim" sort="Kunert, Joachim" uniqKey="Kunert J" first="Joachim" last="Kunert">Joachim Kunert</name>
<affiliation><mods:affiliation>Fachbereich I V-Angewandte Math/Statistik, Universität Trier, Postfach 3825, 5500 Trier, Federal Republic of Germany</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749</idno>
<date when="1985" year="1985">1985</date>
<idno type="doi">10.1093/biomet/72.2.375</idno>
<idno type="url">https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001818</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001818</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a">Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title>
<author wicri:is="90%"><name sortKey="Kunert, Joachim" sort="Kunert, Joachim" uniqKey="Kunert J" first="Joachim" last="Kunert">Joachim Kunert</name>
<affiliation><mods:affiliation>Fachbereich I V-Angewandte Math/Statistik, Universität Trier, Postfach 3825, 5500 Trier, Federal Republic of Germany</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Biometrika</title>
<idno type="ISSN">0006-3444</idno>
<idno type="eISSN">1464-3510</idno>
<imprint><publisher>Oxford University Press</publisher>
<date type="published" when="1985-08">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>
<idno type="ISSN">0006-3444</idno>
</series>
<idno type="istex">D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749</idno>
<idno type="DOI">10.1093/biomet/72.2.375</idno>
<idno type="ArticleID">72.2.375</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0006-3444</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
<front><div type="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.</div>
</front>
</TEI>
<istex><corpusName>oup</corpusName>
<author><json:item><name>JOACHIM KUNERT</name>
<affiliations><json:string>Fachbereich I V-Angewandte Math/Statistik, Universität Trier, Postfach 3825, 5500 Trier, Federal Republic of Germany</json:string>
</affiliations>
</json:item>
</author>
<subject><json:item><value>Articles</value>
</json:item>
<json:item><value>Correlated observations</value>
</json:item>
<json:item><value>E-optimality</value>
</json:item>
<json:item><value>Latin square</value>
</json:item>
<json:item><value>Repeated measurements design</value>
</json:item>
<json:item><value>Weighted least squares</value>
</json:item>
<json:item><value>Williams design</value>
</json:item>
</subject>
<articleId><json:string>72.2.375</json:string>
</articleId>
<language><json:string>unknown</json:string>
</language>
<originalGenre><json:string>research-article</json:string>
</originalGenre>
<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.</abstract>
<qualityIndicators><score>7.516</score>
<pdfVersion>1.2</pdfVersion>
<pdfPageSize>547 x 780 pts</pdfPageSize>
<refBibsNative>false</refBibsNative>
<keywordCount>7</keywordCount>
<abstractCharCount>282</abstractCharCount>
<pdfWordCount>6420</pdfWordCount>
<pdfCharCount>30865</pdfCharCount>
<pdfPageCount>15</pdfPageCount>
<abstractWordCount>43</abstractWordCount>
</qualityIndicators>
<title>Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</title>
<refBibs><json:item><author><json:item><name>Bebenblut </name>
</json:item>
<json:item><name>I,I Webb</name>
</json:item>
<json:item><name>G,I </name>
</json:item>
</author>
<host><volume>61</volume>
<pages><last>37</last>
<first>427</first>
</pages>
<author></author>
<title>Biometrilea</title>
<publicationDate>1974</publicationDate>
</host>
<title>Experimental design in the presence of autocorrelated errors</title>
<publicationDate>1974</publicationDate>
</json:item>
<json:item><author><json:item><name>Buddb </name>
</json:item>
<json:item><name>M </name>
</json:item>
</author>
<host><volume>31</volume>
<pages><last>13</last>
<first>203</first>
</pages>
<author></author>
<title>Metrika</title>
<publicationDate>1984</publicationDate>
</host>
<title>Optimale Zweifachblockplane bei seriell korrelierten Fehlern</title>
<publicationDate>1984</publicationDate>
</json:item>
<json:item><author><json:item><name>Cheng </name>
</json:item>
<json:item><name>C,S </name>
</json:item>
</author>
<host><volume>6</volume>
<pages><last>61</last>
<first>1239</first>
</pages>
<author></author>
<title>Ann. Statist</title>
<publicationDate>1978</publicationDate>
</host>
<title>Optimality of certain asymmetrical experimental designs</title>
<publicationDate>1978</publicationDate>
</json:item>
<json:item><author><json:item><name>Cheng </name>
</json:item>
<json:item><name>C,S </name>
</json:item>
</author>
<host><volume>42</volume>
<pages><last>204</last>
<first>199</first>
</pages>
<author></author>
<title>J. R. Statist. Soc. B</title>
<publicationDate>1980</publicationDate>
</host>
<title>On the £-optimality of some block designs</title>
<publicationDate>1980</publicationDate>
</json:item>
<json:item><author><json:item><name>Cheng </name>
</json:item>
<json:item><name>C,S </name>
</json:item>
</author>
<host><volume>11</volume>
<pages><last>6</last>
<first>240</first>
</pages>
<author></author>
<title>Ann. Statist</title>
<publicationDate>1983</publicationDate>
</host>
<title>Construction of optimal balanced incomplete block designs for correlated observations</title>
<publicationDate>1983</publicationDate>
</json:item>
<json:item><author><json:item><name>Cheng </name>
</json:item>
<json:item><name>C,S Wu</name>
</json:item>
<json:item><name>C,F </name>
</json:item>
</author>
<host><volume>8</volume>
<pages><last>6</last>
<first>633</first>
</pages>
<issue>61</issue>
<author></author>
<title>Ann. Statist. Biometrika</title>
<publicationDate>1974</publicationDate>
</host>
<title>Balanced repeated measuremente designs The efficiency factor of a class of incomplete block designs</title>
<publicationDate>1974</publicationDate>
</json:item>
<json:item><author><json:item><name>Jaokoux </name>
</json:item>
<json:item><name>M </name>
</json:item>
</author>
<host><volume>42</volume>
<pages><last>9</last>
<first>205</first>
</pages>
<author></author>
<title>J. R. Statist. Soc. B</title>
<publicationDate>1980</publicationDate>
</host>
<title>On the ^-optimality of regular graph designs</title>
<publicationDate>1980</publicationDate>
</json:item>
<json:item><author><json:item><name>Kiefeb </name>
</json:item>
<json:item><name>J </name>
</json:item>
</author>
<host><pages><last>53</last>
<first>333</first>
</pages>
<author></author>
<title>A Survey of Statistical Designs and Linear Models</title>
<publicationDate>1975</publicationDate>
</host>
<title>Constructions and optimality of generalized Youden designs</title>
<publicationDate>1975</publicationDate>
</json:item>
<json:item><author><json:item><name>Kiefeb </name>
</json:item>
<json:item><name>J Wyttn</name>
</json:item>
<json:item><name>H,P </name>
</json:item>
</author>
<host><volume>9</volume>
<pages><last>57</last>
<first>737</first>
</pages>
<author></author>
<title>Ann. Statist</title>
<publicationDate>1981</publicationDate>
</host>
<title>Optimum balanced block and Latin square designs for correlated observations</title>
<publicationDate>1981</publicationDate>
</json:item>
<json:item><author><json:item><name>Kunebt </name>
</json:item>
<json:item><name>J </name>
</json:item>
</author>
<host><volume>11</volume>
<pages><last>57</last>
<first>247</first>
</pages>
<author></author>
<title>Ann. Statist</title>
<publicationDate>1983</publicationDate>
</host>
<title>Optimal design and refinement of the linear model with applications to repeated measurements design</title>
<publicationDate>1983</publicationDate>
</json:item>
<json:item><author><json:item><name>Kunebt </name>
</json:item>
<json:item><name>J </name>
</json:item>
</author>
<host><volume>12</volume>
<pages><last>17</last>
<first>1006</first>
</pages>
<author></author>
<title>Ann. 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. It is shown that Latin squares with an additional balancing property are E-optimal for the weighted least squares estimate.</p>
</abstract>
<textClass><keywords scheme="keyword"><list><item><term>Articles</term>
</item>
</list>
</keywords>
</textClass>
<textClass><keywords scheme="keyword"><list><head>keywords</head>
<item><term>Correlated observations</term>
</item>
<item><term>E-optimality</term>
</item>
<item><term>Latin square</term>
</item>
<item><term>Repeated measurements design</term>
</item>
<item><term>Weighted least squares</term>
</item>
<item><term>Williams design</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="1985-08">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-12-22">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/fulltext/txt</uri>
</json:item>
</fulltext>
<metadata><istex:metadataXml wicri:clean="corpus oup" wicri:toSee="no header"><istex:docType PUBLIC="-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" URI="journalpublishing.dtd" name="istex:docType"></istex:docType>
<istex:document><article article-type="research-article"><front><journal-meta><journal-id journal-id-type="hwp">biomet</journal-id>
<journal-id journal-id-type="publisher-id">biomet</journal-id>
<journal-id journal-id-type="pmc">biomet</journal-id>
<journal-title>Biometrika</journal-title>
<issn pub-type="epub">1464-3510</issn>
<issn pub-type="ppub">0006-3444</issn>
<publisher><publisher-name>Oxford University Press</publisher-name>
</publisher>
</journal-meta>
<article-meta><article-id pub-id-type="doi">10.1093/biomet/72.2.375</article-id>
<article-id pub-id-type="publisher-id">72.2.375</article-id>
<article-categories><subj-group><subject>Articles</subject>
</subj-group>
</article-categories>
<title-group><article-title>Optimal repeated measurements designs for correlated observations and analysis by weighted least squares</article-title>
</title-group>
<contrib-group><contrib contrib-type="author"><name><surname>KUNERT</surname>
<given-names>JOACHIM</given-names>
</name>
</contrib>
<aff><institution>Fachbereich I V-Angewandte Math/Statistik, Universität Trier</institution>
<addr-line>Postfach 3825, 5500 Trier, Federal Republic of Germany</addr-line>
</aff>
</contrib-group>
<pub-date pub-type="ppub"><month>8</month>
<year>1985</year>
</pub-date>
<volume>72</volume>
<issue>2</issue>
<fpage>375</fpage>
<lpage>389</lpage>
<history><date date-type="received"><day>01</day>
<month>8</month>
<year>1983</year>
</date>
<date date-type="rev-recd"><day>01</day>
<month>10</month>
<year>1984</year>
</date>
</history>
<copyright-statement>© 1985 Biometrika Trust</copyright-statement>
<copyright-year>1985</copyright-year>
<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. 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. It is shown that Latin squares with an additional balancing property are E-optimal for the weighted least squares estimate.</abstract>
<subject><genre>keywords</genre>
<topic>Correlated observations</topic>
<topic>E-optimality</topic>
<topic>Latin square</topic>
<topic>Repeated measurements design</topic>
<topic>Weighted least squares</topic>
<topic>Williams design</topic>
</subject>
<relatedItem type="host"><titleInfo><title>Biometrika</title>
</titleInfo>
<genre type="journal">journal</genre>
<identifier type="ISSN">0006-3444</identifier>
<identifier type="eISSN">1464-3510</identifier>
<identifier type="PublisherID">biomet</identifier>
<identifier type="PublisherID-hwp">biomet</identifier>
<part><date>1985</date>
<detail type="volume"><caption>vol.</caption>
<number>72</number>
</detail>
<detail type="issue"><caption>no.</caption>
<number>2</number>
</detail>
<extent unit="pages"><start>375</start>
<end>389</end>
</extent>
</part>
</relatedItem>
<identifier type="istex">D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749</identifier>
<identifier type="DOI">10.1093/biomet/72.2.375</identifier>
<identifier type="ArticleID">72.2.375</identifier>
<accessCondition type="use and reproduction" contentType="copyright">© 1985 Biometrika Trust</accessCondition>
<recordInfo><recordContentSource>OUP</recordContentSource>
</recordInfo>
</mods>
</metadata>
<annexes><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749/annexes/pdf</uri>
</json:item>
</annexes>
<serie></serie>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001818 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001818 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:D1D2A0FAE4CAB446B879D1F187D810A1AB9FE749 |texte= Optimal repeated measurements designs for correlated observations and analysis by weighted least squares }}
![]() | This area was generated with Dilib version V0.6.31. | ![]() |