Friday, September 10, 2010

Strategies for Ratio

Fact - if a data set can be split into two groups, both of which have at least the ratio a:b for some 2 characteristics, then the entire data set has at least the ratio a:b for those 2 characteristics.

The corollary for above:

if a data set can be split into two groups, and one of the groups has a ratio HIGHER than the overall ratio for some 2 characteristics, then the other group has a ratio LOWER than the overall ratio for those 2 characteristics - and vice versa.

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