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A general, consistent strategy for data analysis is outlined, based on information and likelihood theory. A priori considerations lead to the definition of a set of candidate models, simple criteria are useful in ranking and calibrating the models based on estimates of (relative) Kullback-Leibler information, inference can be based on either the best model or a weighted average of several models. Model selection uncertainty can be quantified and should be incorporated into estimators of precision. Some comments are offered on statistical hypothesis testing and data dredging.
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Anderson et al. (1999) studied this question.
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