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Sensitivity models for missing covariates in the analysis of survival data from multiple surveys

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Hemming, Karla and Hutton, Jane (2007) Sensitivity models for missing covariates in the analysis of survival data from multiple surveys. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2007 (No.12).

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Abstract

Using individual patient data from five independent surveys, we evaluate regional
variations in survival in cerebral palsy. The influence of four important variables measuring disability,
which are only partially observed for many cases, are analysed. Results are compared
between a naive complete case analysis; a full likelihood model in which the covariates are
assumed to be missing at random and in which each of the binary predictor variables are modelled
as independent Bernoulli random variables; a model in which the covariates are modelled
by a conditionalwise sequence, accommodating dependencies between the likelihoods of having
various mixtures of disabilities; and a model in which the likelihood of a predictor variable
being observed is allowed to depend on the value of the covariate itself (NMAR). Fully parametric
survival regression models are used and analysis carried out in BUGS. Results suggest
that proportions recorded as having severe visual or cognitive impairments are substantially
lower than the actual proportions severely impaired. Associations between the likelihood of a
particular covariate being recorded and the likelihood of a more severe disability imply that life
expectancies for those who are very severely impaired may be up to 20% less than inferences
based on complete case analyses.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Survival analysis (Biometry), Cerebral palsy -- Mathematical models, Missing observations (Statistics)
Series Name: Working papers
Publisher: University of Warwick. Centre for Research in Statistical Methodology
Place of Publication: Coventry
Official Date: 2007
Dates:
DateEvent
2007Published
Volume: Vol.2007
Number: No.12
Number of Pages: 26
Institution: University of Warwick
Status: Not Peer Reviewed
Access rights to Published version: Open Access

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