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Dimensional Analysis in Experimental Design

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If you have a question about this talk, please contact Mustapha Amrani.

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In this talk, and since we are in the Isaac Newton Institute, I will focus on using the physics of the problem being tackled to determine a strategy to design an experiment to fit a model for prediction. At the heart of the approach is an application of Edgar Buckinghams 1914 Pi theorem. Buckinghams result, which is based on dimensional analysis, has been seemingly neglected by statisticians, but it provides a bridge between a purely theoretical approach to model building, and an empirical one based on e.g. polynomial approximations such as 2nd order response surfaces.

I will illustrate the ideas with a few examples, in the hope that I can show that dimensional analysis should take its place at the heart of experimental design in engineering applications.

This talk is part of the Isaac Newton Institute Seminar Series series.

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