Friday, August 10, 2012

Internally inconsistent

The Times has a "medal chart" for the Olympics, giving a partial order on the countries based on the number (and type) of the medals they've won. The sidebar says "The rules used to generate the diagram were laid out by Simon Tatham, who assumed more medals are better, gold is better than silver and silver is better than bronze. Beyond that, the chart accounts for any possible weighting scheme, including counting all medals equally, counting gold medals only, or assigning different points for gold, silver and bronze."

But the chart cannot simultaneously assume that gold is better than silver and also account for the possibility that all medals count equally. You need "at least as good as," not "better than" there.