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Posterior predictive p ‐values for classical null hypotheses
Author(s) -
Maris Gunter
Publication year - 2005
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.2005.00280.x
We show that for the purpose of testing a classical null hypothesis the posterior predictive check of Rubin (1984) may be inadequate. This inadequacy is caused by the estimation of the nuisance parameters under the null hypothesis. We show that this problem can be solved if the parameters are estimated under the encompassing model.