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Joint modelling of event counts and survival times

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Rogers, Jennifer Kaye, Hutton, Jane L. and Hemming, Karla (2009) Joint modelling of event counts and survival times. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. (Working papers, Vol.2009).

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Abstract

We consider the analysis of data from the MRC Multicentre Trial for Early Epilepsy and Single Seizures (MESS), which was undertaken to assess the differences between two policies: immediate, or deferred treatment in patients with single seizures or early epilepsy. In studies of recurrent events, like epileptic seizures, there is typically lots of information about individuals' seizure patterns over a period of time, which is often not fully utilised in analysis. We develop methodology that allows pre-randomisation seizure counts and multiple post-randomisation survival times to be jointly modelled, assuming that both these outcomes are predicted by (unobserved) seizure rates. The joint model was found to be superior to standard survival methods, although interesting characteristics within the data, not present in the model were also highlighted. We consider modifications to the joint model to accommodate these properties.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Epilepsy -- Treatment -- Mathematical models, Survival analysis (Biometry)
Series Name: Working papers
Publisher: University of Warwick. Centre for Research in Statistical Methodology
Place of Publication: Coventry
Date: 2009
Volume: Vol.2009
Number: No.44
Number of Pages: 33
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
References: Berg, A. T. and S. Shinnar (1991). The risk of seizure recurrence following a first unprovoked seizure: A quantitative review. Neurology 41 (7), 965{972. Chandra, B. (1992). First seizure in adults: to treat or not to treat. Clinical Neurology and Neurosurgery 94(Suppl.), S61{S63. Cowling, B. J., J. L. Hutton, and J. E. H. Shaw (2006). Joint modelling of event counts and survival times. JRRSC Appl. Statist. 55 (1), 31{39. Kim, L., A. Johnson, A. Marson, and D. Chadwick (2006). Prediction of risk of seizure recurrence after a single seizure and early epilepsy: further results from the mess trial. The Lancet Neurology 5, 317{322. Maller, R. and X. Zhou (1996). Survival Analysis with Long-Term Survivors. Wiley series in Probability and Statistics. John Wiley and Sons. Marson, A., A. Jacoby, A. Johnson, L. Kim, C. Gamble, and D. Chadwick (2005). Immediate versus deferred antiepileptic drug treatment for early epilepsy and single seizures: a randomised control trial. The Lancet 365, 2007{2013. Nayak, T. K. (1987). Multivariate lomax distribution: properties and usefulness in reliability theory. Journal of Applied Probability 24, 170{177. Peng, Y. gfcure. http://post.queensu.ca/»pengp/software.html. Downloaded 14 July 2009. Sahamotoa, Y., M. Ishiguro, and G. Kitagawa (1986). Akaike Information Criterion Statistics. Wiley series in Probability and Statistics. KFT Scientific. Wald, A. (1943). Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society 54 (3), 426{482.
URI: http://wrap.warwick.ac.uk/id/eprint/35231

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