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Model adequacy: A bayesian viewpoint
Author(s) -
Steece Beet M.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220502
Subject(s) - bayesian probability , mathematics , variance (accounting) , econometrics , statistics , linear model , nonlinear system , computer science , physics , accounting , quantum mechanics , business
We present a BAYEsian theory for testing model adequacy which provides exact results whether the model is linear or nonlinear in the parameters. We consider two cases: (a) replicated data exists, and (b) no replicated data exists but an external estimate of the variance is available. Furthermore, we derive a useful approximation for testing model adequacy when the model is nonlinear in the parameters.