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Por favor, use este identificador para citar o enlazar este ítem: http://uvadoc.uva.es/handle/10324/22922
Título: Checking unimodality using isotonic regression: an application to breast cancer mortality rates
Autor: Rueda, Cristina
Ugarte, MD
Militino, AF
Año del Documento: 2016
Editorial: Springer
Documento Fuente: Stochastic Environmental Research and Risk Assessment, 30(4), 1277-1288.
Resumen: In some diseases it is well-known that a unimodal mortality pattern exists. A clear example in developed countries is breast cancer, where mortality increased sharply until the nineties and then decreased. This clear unimodal pattern is not necessarily applicable to all regions within a country. In this paper, we develop statistical tools to check if the unimodality pattern persists within regions using order restricted inference. Break points as well as con dence intervals are also provided. In addition, a new test for checking monotonicity against unimodality is derived allowing to discriminate between a simple increasing pattern and an up-then-down response pattern. A comparison with the widely used joinpoint regression technique under unimodality is provided. We show that the joinpoint technique could fail when the underlying function is not piecewise linear. Results will be illustrated using age-speci c breast cancer mortality data from Spain in the period 1975-2005.
Revisión por Pares: SI
DOI: 10.1007/s00477-015-1111-8
Patrocinador: Ministerio de Ciencia e Innovación grant (MTM2012-37129)
Spanish Ministry of Science and Innovation project MTM 2011-22664
Ministerio de Ciencia e Innovación and FEDER grant MTM2014-51992-R
Health Department of Navarre Government (Project 113, Res. 2186/2014)
Version del Editor: http://link.springer.com/article/10.1007/s00477-015-1111-8
Propietario de los Derechos: Springer
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/22922
Derechos: info:eu-repo/semantics/openAccess
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