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Article Dans Une Revue Metrika Année : 2016

Tree based diagnostic procedures following a smooth test of goodness-of-fit

Résumé

This paper introduces a statistical procedure, to be applied after a goodness-of-fit test has rejected a null model, that provides diagnostic information to help the user decide on a better model. The procedure goes through a list of departures, each being tested by a local smooth test. The list is organized into a hierarchy by seeking answers to the questions " Where is the problem ? " and " What is the problem there ?. This hierarchy allows to focus on finer departures as the data becomes more abundant. The procedure controls the family-wise Type 1 error rate. Simulations show that the procedure can succeed in providing useful diagnostic information.
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Dates et versions

hal-01817094 , version 1 (21-06-2018)

Identifiants

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Gilles R. Ducharme, Walid Al Akhras. Tree based diagnostic procedures following a smooth test of goodness-of-fit. Metrika, 2016, 79 (8), pp.971 - 989. ⟨10.1007/s00184-016-0585-9⟩. ⟨hal-01817094⟩
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