Analyzing ordered categorical data derived from elliptically symmetric distributions

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Show simple item record Kukuk, Martin de_DE 2005-12-19 de_DE 2014-03-18T10:02:25Z 2005-12-19 de_DE 2014-03-18T10:02:25Z 1998 de_DE
dc.identifier.uri de_DE
dc.description.abstract The polychoric correlation is an ML estimator for the correlation parameter between two latent variables. Each latent variable is only observed as an ordered categorical indicator. This estimator is based on an assumption on the joint distribution for the latent variables which in this case is the bivariate standard normal distribution. We perform a simulation study applying the polychoric correlation based on normality if the true distribution is in fact an elliptically symmetric distribution. The results show that the polychoric correlation is robust in the sense that the true correlation between the latent variables is estimated only with small bias if the true distribution is not too leptokurtic and also not too platykurtic. These results imply that in practical applications the polychoric correlation can be applied obtaining meaningful results even if tests suggest that the assumed normal distribution is not appropriate. Basically the same results are obtained if one latent variable is observed directly and the ML-estimator based on normality (polyserial correlation) is applied. en
dc.language.iso en de_DE
dc.publisher Universität Tübingen de_DE
dc.rights ubt-podno de_DE
dc.rights.uri de_DE
dc.rights.uri en
dc.subject.classification Latente Variable de_DE
dc.subject.ddc 330 de_DE
dc.subject.other Microeconometrics , Ordered Data , Latent Variables , Polychoric Correlation , Polyserial Correlation , Brillinger's Estimator en
dc.title Analyzing ordered categorical data derived from elliptically symmetric distributions en
dc.type WorkingPaper de_DE
utue.publikation.fachbereich Wirtschaftswissenschaften de_DE
utue.publikation.fakultaet 6 Wirtschafts- und Sozialwissenschaftliche Fakultät de_DE
dcterms.DCMIType Text de_DE
utue.publikation.typ workingPaper de_DE 2135 de_DE
utue.opus.portal wiwidisk de_DE
utue.opus.portalzaehlung 156.00000 de_DE
utue.publikation.source Tübinger Diskussionsbeiträge der Wirtschaftswissenschaftlichen Fakultät ; 156 de_DE
utue.publikation.noppn yes de_DE
utue.publikation.reihenname Tübinger Diskussionsbeitrag de_DE
utue.publikation.zsausgabe 156
utue.publikation.erstkatid 2136475-8


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