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http://hdl.handle.net/1942/2217
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DC Field | Value | Language |
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dc.contributor.author | Lipsitz, Stuart R. | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.contributor.author | Fitzmaurice, Garrett M. | - |
dc.contributor.author | IBRAHIM, Joseph | - |
dc.date.accessioned | 2007-11-13T07:46:19Z | - |
dc.date.available | 2007-11-13T07:46:19Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | STATISTICAL MODELLING, 4(1). p. 3-17 | - |
dc.identifier.issn | 1471-082X | - |
dc.identifier.uri | http://hdl.handle.net/1942/2217 | - |
dc.description.abstract | We propose a method for estimating the regression parameters in a linear regression model for Gaussian data when the outcome variable is missing for some subjects and missingness is thought to be nonignorable. Throughout, we assume that missingness is restricted to the outcome variable and that the covariates are fully observed. Although maximum likelihood estimation of the regression parameters is possible once joint models for the outcome variable and the nonignorable missing data mechanism have been specified, these models are fundamentally nonidentifiable unless unverifiable modeling assumptions are imposed. In this paper, rather than explicitly modeling the nonignorable missingness mechanism, we consider the use of a 'protective' estimator of the regression parameters (Brown, 1990). To implement the proposed method, it is necessary to assume that the outcome variable and one of the covariates have an approximate bivariate normal distribution, conditional on the remaining covariates. In addition, it is assumed that the missing data mechanism is conditionally independent of this covariate, given the outcome variable and the remaining covariates; the latter is referred to as the 'protective' assumption. A method of moments approach is used to obtain the protective estimator of the regression parameters; the jackknife (Quenouille, 1956) is used to estimate the variance. The method is illustrated using data on the persistence of maternal smoking from the Six Cities Study of the health effects of air pollution (Ware et al., 1984). The results of a simulation study are presented that examine the magnitude of any finite sample bias. | - |
dc.description.sponsorship | We are grateful for the support provided by grants HL69800, AHRQ 10871, HL52329, HL61769, GM 29745, MH 54693, and CA 70101 from the US National Institutes of Health. | - |
dc.language.iso | en | - |
dc.publisher | ARNOLD, HODDER HEADLINE PLC | - |
dc.rights | (C) Arnold 2004 | - |
dc.subject.other | EM-algorithm; method of moments; nonignorable missing data; ordinary least squares | - |
dc.subject.other | EM-algorithm; method of moments; nonignorable missing data; ordinary least squares | - |
dc.title | Protective estimator for linear regression with nonignorably missing Gaussian outcomes | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 17 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 3 | - |
dc.identifier.volume | 4 | - |
local.format.pages | 15 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Med Univ S Carolina, Dept Biometry & Epidemiol, Charleston, SC 29425 USA. Limburgs Univ Ctr, Ctr Stat, Diepenbeek, Belgium. Harvard Univ, Sch Publ Hlth, Dept Biostat, Boston, MA 02115 USA. Dana Farber Canc Inst, Div Biostat Sci, Boston, MA 02115 USA.Lipsitz, SR, Med Univ S Carolina, Dept Biometry & Epidemiol, 135 Cannon St,Suite 303, Charleston, SC 29425 USA.lipsitzs@musc.edu | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1191/1471082X04st066oa | - |
dc.identifier.isi | 000220682400001 | - |
item.accessRights | Restricted Access | - |
item.contributor | Lipsitz, Stuart R. | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | Fitzmaurice, Garrett M. | - |
item.contributor | IBRAHIM, Joseph | - |
item.fullcitation | Lipsitz, Stuart R.; MOLENBERGHS, Geert; Fitzmaurice, Garrett M. & IBRAHIM, Joseph (2004) Protective estimator for linear regression with nonignorably missing Gaussian outcomes. In: STATISTICAL MODELLING, 4(1). p. 3-17. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2005 | - |
crisitem.journal.issn | 1471-082X | - |
crisitem.journal.eissn | 1477-0342 | - |
Appears in Collections: | Research publications |
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