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An Ordinal Joint Model for Breast Cancer

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Extended Abstracts Fall 2015

Part of the book series: Trends in Mathematics ((RPCRMB,volume 7))

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Abstract

We propose a Bayesian joint model to analyze the association between longitudinal measurements of an ordinal marker and time to a relevant event. The longitudinal process is defined in terms of a proportional-odds cumulative logit model and the time-to-event process through a left-truncated Cox proportional hazards model with information of the longitudinal marker and baseline covariates. Both longitudinal and survival processes are connected by a common vector of random effects.

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References

  1. C. Armero, C. Forné, M. Rué, A. Forte, H. Perpiñán, G. Gómez, and M. Baré, “Bayesian joint ordinal and survival modeling for breast cancer risk assessment”, Stat. Med. 35(28) (2016), 5267–5282.

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Acknowledgements

This paper was partially supported by the research grants MTM2013-42323-P, MTM2012-38067-C02-1, PI14/00113 from the Spanish Ministry of Economy and Competitiveness, ACOMP/2015/202 from the Generalitat Valenciana, and GRBIO-2014-SGR464 and GRAES-2014-SGR978 from the Generalitat de Catalunya.

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Correspondence to Carmen Armero .

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Armero, C. et al. (2017). An Ordinal Joint Model for Breast Cancer. In: Ainsbury, E., Calle, M., Cardis, E., Einbeck, J., Gómez, G., Puig, P. (eds) Extended Abstracts Fall 2015. Trends in Mathematics(), vol 7. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55639-0_2

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