Linked Life Data

7548687

Source:http://linkedlifedata.com/resource/pubmed/id/7548687

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
3
pubmed:dateCreated
1995-11-20
pubmed:abstractText
There are settings in the social and health sciences where it is natural to question whether a collection of discrete random variables is exchangeable. In this paper the inter-relationships between parameter symmetry, parameter invariance, and exchangeable discrete random variables are investigated within the log-linear models framework. We demonstrate how log-linear models can be used to formulate and test hypotheses of various forms of exchangeability, and to characterize departures from exchangeability. Conditions under which the observed cross-classification collapses into a lower dimensional cross-classification, while preserving the essential probability structure of the higher dimensional cross-classification, and the model structure of this lower dimensional cross-classification are presented. The development is sufficiently general to allow for subsetting the variables into classes, which is important for some applications. For example, in studying the spatial clustering of periodontal disease, there is interest in studying differences among disease patterns between the upper and lower arches in terms of parameter symmetry, parameter invariance, and exchangeability. Cross-sectional periodontal disease data from a study of Pima Indians residing in the Gila River Indian Community are used to illustrate how log-linear models may be used to examine for exchangeability, and for specific departures from exchangeability.
pubmed:grant
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Sep
pubmed:issn
0006-341X
pubmed:author
pubmed:issnType
Print
pubmed:volume
51
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
1001-16
pubmed:dateRevised
2007-11-14
pubmed:meshHeading
pubmed:year
1995
pubmed:articleTitle
Multivariate contingency tables and the analysis of exchangeability.
pubmed:affiliation
Center for Biostatistics and Epidemiology, Pennsylvania State University, Hershey 17033, USA.
pubmed:publicationType
Journal Article, Comparative Study, Research Support, U.S. Gov't, P.H.S.