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http://hdl.handle.net/1942/1985
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DC Field | Value | Language |
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dc.contributor.author | BOLLAERTS, Kaatje | - |
dc.contributor.author | Eilers, PHC | - |
dc.contributor.author | van Mechelen, I | - |
dc.date.accessioned | 2007-11-09T15:23:51Z | - |
dc.date.available | 2007-11-09T15:23:51Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 59. p. 451-469 | - |
dc.identifier.issn | 0007-1102 | - |
dc.identifier.uri | http://hdl.handle.net/1942/1985 | - |
dc.description.abstract | In many research areas, especially within social and behavioural sciences, the relationship between predictor and criterion variables is often assumed to have a particular shape, such as monotone, single-peaked or U-shaped. Such assumptions can be transformed into (local or global) constraints on the sign of the nth-order derivative of the functional form. To check for such assumptions, we present a non-parametric regression method, P-splines regression, with additional asymmetric discrete penalties enforcing the constraints. We show that the corresponding loss function is convex and present a Newton-Raphson algorithm to optimize. Constrained P-splines are illustrated with an application on monotonicity-constrained regression with both one and two predictor variables, using data from research on the cognitive development of children. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | BRITISH PSYCHOLOGICAL SOC | - |
dc.title | Simple and multiple P-splines regression with shape constraints | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 469 | - |
dc.identifier.spage | 451 | - |
dc.identifier.volume | 59 | - |
local.format.pages | 19 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Univ Hasselt, Ctr Stat, B-3590 Diepenbeek, Belgium. Katholieke Univ Leuven, Louvain, Belgium. Leiden Univ, Med Ctr, Leiden, Netherlands.Bollaerts, K, Univ Hasselt, Ctr Stat, Agoralaan 1 Gebouw D, B-3590 Diepenbeek, Belgium.kaatje.bollaerts@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1348/000711005X84293 | - |
dc.identifier.isi | 000242713800011 | - |
item.accessRights | Closed Access | - |
item.fullcitation | BOLLAERTS, Kaatje; Eilers, PHC & van Mechelen, I (2006) Simple and multiple P-splines regression with shape constraints. In: BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 59. p. 451-469. | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2008 | - |
item.contributor | BOLLAERTS, Kaatje | - |
item.contributor | Eilers, PHC | - |
item.contributor | van Mechelen, I | - |
crisitem.journal.issn | 0007-1102 | - |
crisitem.journal.eissn | 2044-8317 | - |
Appears in Collections: | Research publications |
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