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dc.contributor.authorPage G.L.en_US
dc.contributor.authorRodríguez-Álvarez M.X.en_US
dc.contributor.authorLee D-J.en_US
dc.dateinfo:eu-repo/date/embargoEnd/2021-03-01en_US
dc.date.accessioned2020-03-06T07:10:46Z
dc.date.available2020-03-06T07:10:46Z
dc.date.issued2020-01
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1097
dc.description.abstractGrowth curve studies are typically conducted to evaluate differences between group or treatment-specific curves. Most analyses focus solely on the growth curves, but it has been argued that the derivative of growth curves can highlight differences between groups that may be masked when considering the raw curves only. Motivated by the desire to estimate derivative curves hierarchically, we introduce a new sequence of quotient differences (empirical derivatives) which, among other things, are well behaved near the boundaries compared with other sequences in the literature. Using the sequence of quotient differences, we develop a Bayesian method to estimate curve derivatives in a multilevel setting (a common scenario in growth studies) and show ow the method can be used to estimate individual and group derivative curves and to make comparisons. We apply the new methodology to data collected from a study conducted to explore the effect that radiation-based therapies have on growth in female children diagnosed with acute lymphoblastic leukaemia.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherJournal of the Royal Statistical Society: Series C (Applied Statistics)en_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2017-82379-Ren_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectBayesian hierarchical modelsen_US
dc.subjectGrowth studiesen_US
dc.subjectLongitudinal dataen_US
dc.subjectPenalized splinesen_US
dc.subjectSmoothingen_US
dc.titleBayesian hierarchical modelling of growth curve derivatives via sequences of quotient differencesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US
dc.relation.publisherversionhttps://rss.onlinelibrary.wiley.com/doi/abs/10.1111/rssc.12399en_US


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