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Chain event graphs for informed missingness
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Barclay, Lorna M., Hutton, Jane and Smith, J. Q. (2014) Chain event graphs for informed missingness. Bayesian Analysis, Volume 9 (Number 1). pp. 53-76. doi:10.1214/13-BA843 ISSN 1931-6690.
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Official URL: http://dx.doi.org/10.1214/13-BA843
Abstract
Chain Event Graphs (CEGs) are proving to be a useful framework for modelling discrete processes which exhibit strong asymmetric dependence structures between the variables of the problem. In this paper we exploit this framework to represent processes where missingness is influential and data cannot plausibly be hypothesised to be missing at random in all situations. We develop new classes of models where data are missing not at random but nevertheless exhibit context-specific symmetries which are captured by the CEG. We show that it is possible to score each model efficiently and in closed form. Hence standard Bayesian selection methods can be used to search over a wide variety of models, each with its own explanatory narrative. One of the advantages of this method is that the selected maximum a posteriori model and other closely scoring models can be easily read back to the client in a graphically transparent way. The efficacy of our methods are illustrated using a cerebral palsy cohort study, analysing their survival with respect to weight at birth and various disabilities.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics R Medicine > RC Internal medicine |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||
Library of Congress Subject Headings (LCSH): | Bayesian statistical decision theory, Cerebral palsy -- Mortality -- Mathematical models | ||||||
Journal or Publication Title: | Bayesian Analysis | ||||||
Publisher: | International Society for Bayesian Analysis | ||||||
ISSN: | 1931-6690 | ||||||
Official Date: | 2014 | ||||||
Dates: |
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Volume: | Volume 9 | ||||||
Number: | Number 1 | ||||||
Page Range: | pp. 53-76 | ||||||
DOI: | 10.1214/13-BA843 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 5 May 2017 | ||||||
Date of first compliant Open Access: | 5 May 2017 | ||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||
Grant number: | EP/P50578X/1 |
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