Re: Measure once or twice--does it really matter?

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Abstract
The editorial ( 1 ) on our article ( 2 ) makes a number of points, and we wish to address these with some further explanation. The first clarification concerns our theoretical section. Our argument is, in fact, more pragmatic rather than mathematical and is indeed the point that the editorial identifies as “largely due to difference in scales.” From its definition as an x % reduction, any measure of response entails a proportionate reduction in this measure. Furthermore, since product and diameter are both functions of radius, they may be mathematically transformed from one to the other. As the article specifically mentions, the bidimensional measure can be transformed to have the same relationship to the logarithm of cell number as does diameter simply by taking its square root. Our point was not to dispute the fact that mathematical transformation of product will give the same relationship, rather it was that, without the need for transformation, the proportional change in diameter performs well in estimating similar proportional changes in log cell kill.

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