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Title: | Generalized shared-parameter models and missingness at random | Authors: | CREEMERS, An HENS, Niel AERTS, Marc MOLENBERGHS, Geert VERBEKE, Geert Kenward, Michael G. |
Issue Date: | 2011 | Publisher: | SAGE PUBLICATIONS LTD | Source: | STATISTICAL MODELLING, 11(4). p. 279-310 | Abstract: | When data are incomplete, models are often catalogued according to one of the three modelling frameworks to which they belong: selection models (SeM), pattern-mixture models (PMM) and shared-parameter models (SPM). The missing data mechanism is conventionally classified as missing completely at random (MCAR), missing at random (MAR) and missing not at random (MNAR). Under MCAR, measurement and missingness mechanism are independent, but that is not the case for MAR. The definition of MAR is in SeM terms. Molenberghs et al. (1998) provided a characterization for PMM. Here, MAR is characterized in the SPM framework, using an extended SPM class. A subfamily, satisfying the MAR condition, is studied in detail. Particular implications for non-monotone missingness as well as for longitudinal data subject to dropout are studied. It is indicated how SPM can be constrained such that dropout at a given point in time can depend on current and past, but not on future measurements. Although, a natural requirement, it is less easily imposed in the PMM and SPM frameworks than in the SeM case. Some of the models proposed are illustrated using a clinical trial in toenail dermatophyte onychomycosis. | Notes: | [Creemers, A; Hens, N; Aerts, M; Molenberghs, G; Verbeke, G] Univ Hasselt, B-3590 Diepenbeek, Belgium [Hens, N] Univ Antwerp, CHERMID, Ctr Evaluat Vaccinat, WHO Collaborating Ctr,Vaccine & Infect Dis Inst, Antwerp, Belgium [Molenberghs, G; Verbeke, G] Katholieke Univ Leuven, Louvain, Belgium [Kenward, MG] London Sch Hyg & Trop Med, Med Stat Unit, London, England | Keywords: | available-case missing value restrictions; ignorability; missing at random counterpart; missing completely at random; missing non-future-dependent restrictions; non-future dependence; pattern-mixture model; selection model;available-case missing value restrictions; ignorability; missing at random counterpart; missing completely at random; missing non-future dependent restrictions; non-future dependence; pattern-mixture model; selection model | Document URI: | http://hdl.handle.net/1942/12220 | ISSN: | 1471-082X | e-ISSN: | 1477-0342 | DOI: | 10.1177/1471082X1001100401 | ISI #: | 000293922900002 | Rights: | (c) 2011 SAGE Publications | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2012 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
spmmar08.pdf | Peer-reviewed author version | 305.88 kB | Adobe PDF | View/Open |
spmmar08appendix.pdf | Supplementary material | 46.9 kB | Adobe PDF | View/Open |
data and code SPMMAR.pdf | Supplementary material | 78.64 kB | Adobe PDF | View/Open |
a.pdf Restricted Access | Published version | 367.32 kB | Adobe PDF | View/Open Request a copy |
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