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http://hdl.handle.net/1942/24102
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DC Field | Value | Language |
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dc.contributor.author | Oliveira, I. R. C. | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.contributor.author | VERBEKE, Geert | - |
dc.contributor.author | DEMETRIO, Clarice | - |
dc.contributor.author | Dias, C. T. S. | - |
dc.date.accessioned | 2017-08-07T09:17:21Z | - |
dc.date.available | 2017-08-07T09:17:21Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | JOURNAL OF APPLIED STATISTICS, 44(6), p. 1047-1063 | - |
dc.identifier.issn | 0266-4763 | - |
dc.identifier.uri | http://hdl.handle.net/1942/24102 | - |
dc.description.abstract | The concept of negative variance components in linear mixed-effects models, while confusing at first sight, has received considerable attention in the literature, for well over half a century, following the early work of Chernoff[7] and Nelder[21]. Broadly, negative variance components in linear mixed models are allowable if inferences are restricted to the implied marginal model. When a hierarchical view-point is adopted, in the sense that outcomes are specified conditionally upon random effects, the variance-covariance matrix of the random effects must be positive-definite (positive-semi-definite is also possible, but raises issues of degenerate distributions). Many contemporary software packages allow for this distinction. Less work has been done for generalized linear mixed models. Here, we study such models, with extension to allow for overdispersion, for non-negative outcomes (counts). Using a study of trichomes counts on tomato plants, it is illustrated how such negative variance components play a natural role in modeling both the correlation between repeated measures on the same experimental unit and over- or underdispersion. | - |
dc.description.sponsorship | Geert Molenberghs gratefully acknowledges support from IAP research Network P7/06 of the Belgian Government (Belgian Science Policy). This work was partially supported by grants from CNPq, National Council for Scientific and Technological Development, Brazilian science funding agency. | - |
dc.language.iso | en | - |
dc.publisher | TAYLOR & FRANCIS LTD | - |
dc.rights | © 2016 Informa UK Limited, trading as Taylor & Francis Group | - |
dc.subject.other | combined model; gamma distribution; generalized linear mixed model; overdispersion; Poisson distribution; underdispersion | - |
dc.subject.other | Combined model; gamma distribution; generalized linear mixed model; overdispersion; Poisson distribution; underdispersion | - |
dc.title | Negative variance components for non-negative hierarchical data with correlation, over-, and/or underdispersion | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1063 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 1047 | - |
dc.identifier.volume | 44 | - |
local.format.pages | 17 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Oliveira, I. R. C.; Demetrio, C. G. B.; Dias, C. T. S.] ESALQ, Dept Exact Sci, BR-13418900 Piracicaba, SP, Brazil. [Oliveira, I. R. C.; Molenberghs, G.] Univ Hasselt, Interuniv Inst Biostat & Stat Bioinformat, Hasselt, Belgium. [Molenberghs, G.; Verbeke, G.] Katholieke Univ Leuven, Interuniv Inst Biostat & Stat Bioinformat, Leuven, Belgium. | - |
local.publisher.place | ABINGDON | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1080/02664763.2016.1191624 | - |
dc.identifier.isi | 000399325700007 | - |
item.validation | ecoom 2018 | - |
item.accessRights | Open Access | - |
item.fullcitation | Oliveira, I. R. C.; MOLENBERGHS, Geert; VERBEKE, Geert; DEMETRIO, Clarice & Dias, C. T. S. (2017) Negative variance components for non-negative hierarchical data with correlation, over-, and/or underdispersion. In: JOURNAL OF APPLIED STATISTICS, 44(6), p. 1047-1063. | - |
item.fulltext | With Fulltext | - |
item.contributor | Oliveira, I. R. C. | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | VERBEKE, Geert | - |
item.contributor | DEMETRIO, Clarice | - |
item.contributor | Dias, C. T. S. | - |
crisitem.journal.issn | 0266-4763 | - |
crisitem.journal.eissn | 1360-0532 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
oliveira2016.pdf Restricted Access | Published version | 1.47 MB | Adobe PDF | View/Open Request a copy |
negative.pdf | Peer-reviewed author version | 466.08 kB | Adobe PDF | View/Open |
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