In an earlier post, I found the best 9 players out of 14 to have in the lineup. Then in another post, I found the best batting order from this list of 9 players. One could ask, how much does the batting order matter?
I ran 500 trials of 500 seasons of 20 games (i.e. 500*500*20 = 5,000,000 games) for the best batting order and found that the average runs per game was 6.6.
Then I ran 100 random lineups of the best 9 players for 500 trials of 500 seasons of 20 games. I found that the average runs per game for these 100 random lineups was 6.3.
The best of these 100 random lineups had an average runs per game of 6.5 and the worst of these 100 random lineups had an average runs per game of 6.1.
So determining the best batting order has an impact of 0.3 runs per game over just finding the best 9 players and using a random batting order.
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