Saturday, June 27, 2020

 

Quotable: Box on Models


ALL MODELS ARE WRONG BUT SOME ARE USEFUL

     Now it would be very remarkable if any system existing in the real world could be exactly represented by any simple model. However, cunningly chosen parsimonious models often do provide remarkably useful approximations. For example, the law PV = RT relating pressure P, volume V, and temperature T of an "ideal" gas via a constant R is not exactly true for any real gas, but it frequently provides a useful approximation and furthermore its structure is informative since it springs from a physical view of the behavior of gas molecules. For such a model there is no need to ask the question "Is the model true?". If "truth" is to be the "whole truth" the answer must be "No". The only question of interest is "Is the model illuminating and useful?"

Source: G. E. P. Box., "Robustness in the Strategy of Scientific Model Building" in Robert L. Launer; Graham N. Wilkinson, Robustness in Statistics, Academic Press (New York, 1979), pp. 202–203.

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