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Good Point!
Which is just why I've suggested that sthe stats be weighted, or the seasonal numbers that are used be divide into thirds, or something happen that, a little more accurately demonstrates a players overall performance.
For example: A player that struggles the firstn third of the year to hit .200 will produce ( as Ken says) within 10% of his .200 BA when the RT season opens. If he then hits .350 ( streaky, eh?) for the next third raising his .BA to .275, he will only hit within 10% of his .275, raising his PB verage to .237. If he continues his hot hitting for the final third of the season, ending at .300, the PB lag will bring his RT averageg up to .252.
The reverse is true for players who start hot and then cool.
Weighting the numbers, or isolating them, will reduce the inaccuracies, and make the seasonal outcomes a bit more realistic - if that is, in fact, a desired result- tahn the present system.