Comment: Dimensional Analysis in Statistical Engineering

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ACKNOWLEDGMENTS

Conversations with Huw Williams, Bill Meeker, and Chris Gearhart are acknowledged in preparation of this article. Tony Lawrance, together with some PhD students, helped me to fly the helicopters and collect the data in the Department of Statistics at the University of Warwick. I thank the editor for inviting me to contribute to this discussion.

Notes

The example of the rubber ball discussed by ANAC can also be examined in a similar way. Rather than fitting a polynomial to the data as ANAC do, we fit a power function. The data in the literature by Sonin (2001, table 3.1, p. 44) yield , which produces . The presence of the 5th root might appear somewhat unusual, but Szirtes (2007, pp. 154–155) derived a similar expression for a radius associated with the rapid release of energy in a very short time, but in a nuclear explosion (!).