Abstract
Based on the example of data on breast cancer survival in a specific area in France, this paper describes a Bayesian approach to analysing individual continuous-time spatially referenced survival data. Starting from the well-known Cox model we develop a geoadditive survival model with a baseline effect, spatial effects, age, period and cohort effects as well as the effect of the number of metastases at the time of diagnosis. Furthermore, we also investigate temporal and spatial variations in the effect of the number of metastases. Our approach is particularly useful since we find clear hints for a violation of the proportional hazards assumption and the existence of different spatial patterns for patients with no, one and more than one metastasis. The reliability of our approach is attested by comparison with a parametric model and with several simulated data sets with known risk profiles.
References
May 1, 1990·Statistics in Medicine·J EstèveL Raymond
Nov 1, 1988·Statistics in Medicine·O O Aalen
Jun 1, 1987·Statistics in Medicine·D Clayton, E Schifflers
Jun 1, 1987·Statistics in Medicine·D Clayton, E Schifflers
Nov 14, 1997·Statistics in Medicine·T DybaL Päivärinta
Aug 12, 1999·Statistics in Medicine·K Osnes, O O Aalen
Nov 21, 2001·Cancer Causes & Control : CCC·I BrayP Boffetta
Mar 21, 2002·The Lancet Oncology·T J KeyE Banks
Aug 20, 2003·Biostatistics·Sudipto BanerjeeBradley P Carlin
Aug 21, 2003·Biometrics·Ying C MacNab
Aug 23, 2003·Biostatistics·L Knorr-Held, E Rainer
Sep 4, 2003·Statistics in Medicine·Angela M CrookHarry Hemingway
Dec 9, 2003·The Breast : Official Journal of the European Society of Mastology·Jack Cuzick
Sep 2, 2004·Biometrics·Luc Duchateau, Paul Janssen
Feb 8, 2005·Statistics in Medicine·Samson B Adebayo, Ludwig Fahrmeir
Feb 23, 2005·Statistics in Medicine·Ralf BenderMaria Blettner
Sep 10, 2005·Expert Review of Molecular Diagnostics·Paola ForaboscoMarcella Devoto
Citations
Jan 12, 2013·Cancer Causes & Control : CCC·Lung-Chang ChienSandi L Pruitt
Jun 4, 2013·Spatial and Spatio-temporal Epidemiology·Lung-Chang ChienMario Schootman
Oct 5, 2014·International Journal of Health Geographics·Paramita DasguptaPeter D Baade
Feb 14, 2013·Environment International·Hwa-Lung YuLung-Chang Chien
May 23, 2014·Statistical Methods in Medical Research·Emanuela DreassiNicola Salvati
Jun 27, 2013·Annals of Oncology : Official Journal of the European Society for Medical Oncology·A GiordanoJ M Reuben