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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 Sabater, María CristinaAutoridad UVA
    Ugarte Martínez, María Dolores
    Fernández Militino, Ana
    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
    openAccess
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    Universidad de Valladolid

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