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arXiv:1101.0891stat.ME

To Explain or to Predict?

Galit Shmueli

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Abstract

Statistical modeling is a powerful tool for developing and testing theories by way of causal explanation, prediction, and description. In many disciplines there is near-exclusive use of statistical modeling for causal explanation and the assumption that models with high explanatory power are inherently of high predictive power. Conflation between explanation and prediction is common, yet the distinction must be understood for progressing scientific knowledge. While this distinction has been recognized in the philosophy of science, the statistical literature lacks a thorough discussion of the many differences that arise in the process of modeling for an explanatory versus a predictive goal. The purpose of this article is to clarify the distinction between explanatory and predictive modeling, to discuss its sources, and to reveal the practical implications of the distinction to each step in the modeling process.

arXiv comments
Published in at http://dx.doi.org/10.1214/10-STS330 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal reference
Statistical Science 2010, Vol. 25, No. 3, 289-310
DOI
doi:10.1214/10-STS330
Subjects
stat.MEMethodology (Statistics)

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    • Given a finite data set, an infinite number of functions/curves can explain it. This is curve-fitting 101 stuff. All explanatory models are either an over-fit or an under-fit to the data. With the fine print being "acceptable error rate". "The Earth is flat" may be wrong, but it…

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