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http://hdl.handle.net/1942/12321
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DC Field | Value | Language |
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dc.contributor.author | MOLENBERGHS, Geert | - |
dc.contributor.author | VERBEKE, Geert | - |
dc.date.accessioned | 2011-11-07T13:22:39Z | - |
dc.date.available | NO_RESTRICTION | - |
dc.date.available | 2011-11-07T13:22:39Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | STATISTICAL MODELLING, 11(5). p. 389-408 | - |
dc.identifier.issn | 1471-082X | - |
dc.identifier.uri | http://hdl.handle.net/1942/12321 | - |
dc.description.abstract | A lot has been said about the relationship between hierarchical models, such as linear mixed-effects models, and the marginal models they imply. Generally, there is a many-to-one map of hierarchical models onto a given marginal model. Additionally, in some cases, no obvious hierarchical model leads to a given marginal model. For example, it is commonly known that the random-intercepts model produces, marginally, a compound-symmetry model with non-negative intraclass correlation, whereas, on the other hand, a compound-symmetry model with negative intraclass correlation is not induced by a conventional random-intercepts model. We show here that it is still possible, and even intuitively appealing, to formulate hierarchical models inducing structure such as negative compound-symmetry correlation. Thus, the aim of this note is to further clarify the relationship between hierarchical and marginal models, enhancing appeal and establishing symmetry of the concepts. Consequences for interpretation and sensitivity analysis are discussed. The ideas are illustrated in three sets of data. | - |
dc.description.sponsorship | The authors gratefully acknowledge the financial support from the IAP research Network P6/03 of the Belgian Government (Belgian Science Policy). | - |
dc.language.iso | en | - |
dc.publisher | SAGE PUBLICATIONS LTD | - |
dc.rights | (c) 2011 SAGE Publications | - |
dc.subject.other | linear mixed model; marginal model; random effect | - |
dc.subject.other | linear mixed model; marginal model; random effect | - |
dc.title | A note on a hierarchical interpretation for negative variance components | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 408 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 389 | - |
dc.identifier.volume | 11 | - |
local.format.pages | 20 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Molenberghs, G] Univ Hasselt, Interuniv Inst Biostat & Stat Bioinformat, B-3590 Diepenbeek, Belgium. Katholieke Univ Leuven, Louvain, Belgium. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1177/1471082X1001100501 | - |
dc.identifier.isi | 000295840600001 | - |
item.accessRights | Restricted Access | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | VERBEKE, Geert | - |
item.fullcitation | MOLENBERGHS, Geert & VERBEKE, Geert (2011) A note on a hierarchical interpretation for negative variance components. In: STATISTICAL MODELLING, 11(5). p. 389-408. | - |
item.validation | ecoom 2012 | - |
item.fulltext | With Fulltext | - |
crisitem.journal.issn | 1471-082X | - |
crisitem.journal.eissn | 1477-0342 | - |
Appears in Collections: | Research publications |
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a.pdf Restricted Access | Published version | 333.12 kB | Adobe PDF | View/Open Request a copy |
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