Abstract
In basing results on ratios of properties of two groups, it would be undesirable for conclusions to be affected by the arbitrary choice of which group’s properties should be the numerator and which the denominator. From this point of view, using means of ratios is undesirable; medians are somewhat better, and mean logarithms seem the best choice. The geometric mean is a descriptive statistic that shares the desirable properties of the mean logarithm in that it is not adversely affected by the arbitrary choice of numerator.
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