RT info:eu-repo/semantics/article
T1 Checking unimodality using isotonic regression: an application to breast cancer mortality rates
A1 Rueda Sabater, María Cristina
A1 Ugarte Martínez, María Dolores
A1 Fernández Militino, Ana
AB In some diseases it is well-known that a unimodal mortality pattern exists. A clear examplein developed countries is breast cancer, where mortality increased sharply until thenineties and then decreased. This clear unimodal pattern is not necessarily applicable to allregions within a country. In this paper, we develop statistical tools to check if the unimodalitypattern persists within regions using order restricted inference. Break points as well ascon dence intervals are also provided. In addition, a new test for checking monotonicityagainst unimodality is derived allowing to discriminate between a simple increasing patternand an up-then-down response pattern. A comparison with the widely used joinpoint regressiontechnique under unimodality is provided. We show that the joinpoint technique couldfail when the underlying function is not piecewise linear. Results will be illustrated usingage-speci c breast cancer mortality data from Spain in the period 1975-2005.
PB Springer
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/22922
UL http://uvadoc.uva.es/handle/10324/22922
LA eng
NO Stochastic Environmental Research and Risk Assessment, 30(4), 1277-1288.
DS UVaDOC
RD 14-oct-2024