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Tangotiger Blog

A blog about baseball, hockey, life, and whatever else there is.

Monday, December 30, 2019

How low can replacement level go?

?I posted a couple of charts on Twitter.

I simply broke up players into "regulars" and "bench" players based on how much they played.  The regulars represented 80% of the playing time, and their Individualized Won-Loss Record was .550.  The bench players represented 20% of the playing time, and their Indis was .300.

And simple math of 80% of .550 plus 20% of .300 equals .500.  In other words, an average team is made up of average regulars and average bench players.  But if you had a team that was ONLY regulars, that team would win 55% of the time (or 89 wins).

From 1998-2019 (32 seasons), there has been 660 team seasons (32 seasons x 30 teams).  178 of those have a .550+ record.  That's 27% of all teams.  If we take the top 25% of all teams (165 teams), they have a .556+ record.

If we take the top 50% of those 660 teams, those 330 teams ranged in win% from .500 to .716, for an average of .561.

In other words, we can reasonably make this statement: if you had a team of "average regulars", such a team would be equal to the top half of the teams.  And if you assume these players represent 80% of the league, the remaining 20% would be the bench players.  In this illustration:

.500 = .8 x .561 + .2 x Bench

Solving for Bench = .256

If the regulars represents 75% of all players, Bench = .317

Therefore, I think we can get a reasonable sense as to what the Bench level is by taking this approach.  Not only here, for MLB, but for ANY league.  I wouldn't want to do it for a single year, but a 20 year rolling period?  That might work.

Anyway, I just had the thought, and I'm throwing it out there for the aspiring saberists to chew on.

(4) Comments • 2020/01/02 • Talent_Distribution

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December 30, 2019
How low can replacement level go?