Alternative test criteria in covariance structure analysis: A unified approach
Identifieur interne : 003905 ( Main/Exploration ); précédent : 003904; suivant : 003906Alternative test criteria in covariance structure analysis: A unified approach
Auteurs : Albert Satorra [Espagne]Source :
- Psychometrika [ 0033-3123 ] ; 1989-03-01.
Abstract
Abstract: In the context of covariance structure analysis, a unified approach to the asymptotic theory of alternative test criteria for testing parametric restrictions is provided. The discussion develops within a general framework that distinguishes whether or not the fitting function is asymptotically optimal, and allows the null and alternative hypothesis to be only approximations of the true model. Also, the equivalent of the information matrix, and the asymptotic covariance matrix of the vector of summary statistics, are allowed to be singular. When the fitting function is not asymptotically optimal, test statistics which have asymptotically a chi-square distribution are developed as a natural generalization of more classical ones. Issues relevant for power analysis, and the asymptotic theory of a testing related statistic, are also investigated.
Url:
DOI: 10.1007/BF02294453
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 003557
- to stream Istex, to step Curation: 003297
- to stream Istex, to step Checkpoint: 002A85
- to stream Main, to step Merge: 003A97
- to stream Main, to step Curation: 003905
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Alternative test criteria in covariance structure analysis: A unified approach</title>
<author><name sortKey="Satorra, Albert" sort="Satorra, Albert" uniqKey="Satorra A" first="Albert" last="Satorra">Albert Satorra</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:65ADC65BA86DA94616CBAE7DFC60ED122C6277CB</idno>
<date when="1989" year="1989">1989</date>
<idno type="doi">10.1007/BF02294453</idno>
<idno type="url">https://api.istex.fr/document/65ADC65BA86DA94616CBAE7DFC60ED122C6277CB/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">003557</idno>
<idno type="wicri:Area/Istex/Curation">003297</idno>
<idno type="wicri:Area/Istex/Checkpoint">002A85</idno>
<idno type="wicri:doubleKey">0033-3123:1989:Satorra A:alternative:test:criteria</idno>
<idno type="wicri:Area/Main/Merge">003A97</idno>
<idno type="wicri:Area/Main/Curation">003905</idno>
<idno type="wicri:Area/Main/Exploration">003905</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Alternative test criteria in covariance structure analysis: A unified approach</title>
<author><name sortKey="Satorra, Albert" sort="Satorra, Albert" uniqKey="Satorra A" first="Albert" last="Satorra">Albert Satorra</name>
<affiliation wicri:level="3"><country xml:lang="fr">Espagne</country>
<wicri:regionArea>Department of Statistics and Econometrics, Faculty of Economics, University of Barcelona, Avinguda Diagonal 690, 08034, Barcelona</wicri:regionArea>
<placeName><settlement type="city">Barcelone</settlement>
<region nuts="2" type="region">Catalogne</region>
</placeName>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Psychometrika</title>
<title level="j" type="abbrev">Psychometrika</title>
<idno type="ISSN">0033-3123</idno>
<idno type="eISSN">1860-0980</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="1989-03-01">1989-03-01</date>
<biblScope unit="volume">54</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="131">131</biblScope>
<biblScope unit="page" to="151">151</biblScope>
</imprint>
<idno type="ISSN">0033-3123</idno>
</series>
<idno type="istex">65ADC65BA86DA94616CBAE7DFC60ED122C6277CB</idno>
<idno type="DOI">10.1007/BF02294453</idno>
<idno type="ArticleID">BF02294453</idno>
<idno type="ArticleID">Art8</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0033-3123</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: In the context of covariance structure analysis, a unified approach to the asymptotic theory of alternative test criteria for testing parametric restrictions is provided. The discussion develops within a general framework that distinguishes whether or not the fitting function is asymptotically optimal, and allows the null and alternative hypothesis to be only approximations of the true model. Also, the equivalent of the information matrix, and the asymptotic covariance matrix of the vector of summary statistics, are allowed to be singular. When the fitting function is not asymptotically optimal, test statistics which have asymptotically a chi-square distribution are developed as a natural generalization of more classical ones. Issues relevant for power analysis, and the asymptotic theory of a testing related statistic, are also investigated.</div>
</front>
</TEI>
<affiliations><list><country><li>Espagne</li>
</country>
<region><li>Catalogne</li>
</region>
<settlement><li>Barcelone</li>
</settlement>
</list>
<tree><country name="Espagne"><region name="Catalogne"><name sortKey="Satorra, Albert" sort="Satorra, Albert" uniqKey="Satorra A" first="Albert" last="Satorra">Albert Satorra</name>
</region>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Ticri/CIDE/explor/OcrV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003905 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 003905 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Ticri/CIDE |area= OcrV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:65ADC65BA86DA94616CBAE7DFC60ED122C6277CB |texte= Alternative test criteria in covariance structure analysis: A unified approach }}
This area was generated with Dilib version V0.6.32. |