Abstract
There is a wide variety of stochastic ordering problems where J groups (typically ordered with respect to time) are observed along with a (continuous) response. The interest of the study may be on finding the change-point group, i.e. the group where an inversion of trend of the variable under study is observed. A change point is not merely a maximum (or a minimum) of the time-series function, but a further requirement is that the trend of the time-series is monotonically increasing before that point, and monotonically decreasing afterwards. A suitable solution can be provided within a conditional approach, i.e. by considering some suitable nonparametric combination of dependent tests for simple stochastic ordering problems.
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© 2009 Physica-Verlag Heidelberg
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Basso, D., Pesarin, F., Salmaso, L. (2009). A permutation test for umbrella alternatives. In: Monari, P., Bini, M., Piccolo, D., Salmaso, L. (eds) Statistical Methods for the Evaluation of Educational Services and Quality of Products. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-2385-1_12
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DOI: https://doi.org/10.1007/978-3-7908-2385-1_12
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Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2384-4
Online ISBN: 978-3-7908-2385-1
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