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THE BOOK--Playing The Percentages In Baseball

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Sunday, April 12, 2009

Times Through the Batting Order

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Similar to what we did in The Book, I looked at how batter performance varied with times through the order.  Specifically, I looked at starting pitchers only, the NL and AL only, for 2006-2008.

For each PA, I put it into one of 4 buckets:  First time at bat, second time, third, and fourth or later.  If, for example, a pinch hitter came in while the starting pitcher was facing the lineup for the third time, this PA did NOT go into the “3rd time through the order” bucket, since the batter had not faced this pitcher before in the game.  In fact, pinch hitters were excluded completely.  Pitcher batting was excluded as well.

Anyway, I compiled the stats in each bucket and compared them.  Since the pools of pitchers and batters are obviously not equally represented in all 4 buckets (for example, better pitchers AND batters tend to dominate the “4th time” bucket), I adjusted the stats in each bucket by the average pitcher and average batter in that bucket.  To do the adjustments, I used each pitcher’s and batter’s full year stats for that year.

The percentage of all the PA looked at that fell into each bucket were:

1 .354
2 .364
3 .251
4 .032

So only 3.2% of all PA by starting pitchers were against batters who had faced them at least 3 times prior in that game.  I hope I did everything right, as that seems low.

Anyway, here are the individual components for each bucket, normalized to 1.00 where “1.00” represents an average component for all the buckets combined (basically, all PA by starting pitchers excluding pitcher hitting and pinch hitters).  Each component is per PA, where PA excludes IBB and SH.

Foul Out

1st time:  1.009
2nd time: .996
3rd time: 1.041
4th+ time .940

Single

1st time:  .996
2nd time: 1.012
3rd time: 1.03
4th+ time .994

Dbl+Trpl

1st time:  .963
2nd time: 1.024
3rd time: 1.050
4th+ time 1.065

Dbl/(Dbl+Trpl)

1st time:  1.005
2nd time: 1.003
3rd time: .989
4th+ time .991

Trpl/(Dbl+Trpl)

1st time:  .945
2nd time: .967
3rd time: 1.105
4th+ time 1.087

HR

1st time:  .947
2nd time: 1.015
3rd time: 1.089
4th+ time 1.049

BB (No IBB)

1st time:  1.029
2nd time: 1.004
3rd time: .990
4th+ time 1.019

HBP

1st time:  1.036
2nd time: .959
3rd time: 1.044
4th+ time 1.04

SO

1st time:  1.106
2nd time: .980
3rd time: .928
4th+ time .923

ROE

1st time:  .927
2nd time: 1.030
3rd time: 1.017
4th+ time .989

SF

1st time:  .958
2nd time: 1.067
3rd time: 1.003
4th+ time 1.001

GDP

1st time:  .975
2nd time: 1.035
3rd time: 1.024
4th+ time 1.006

IFS (infield single)

1st time:  .972
2nd time: 1.025
3rd time: 1.035
4th+ time 1.059

Bunt Single

1st time:  1.024
2nd time: 1.014
3rd time: 1.009
4th+ time .871

WP

1st time:  .894
2nd time: 1.029
3rd time: 1.068
4th+ time 1.505

PB

1st time:  1.077
2nd time: .979
3rd time: .933
4th+ time .901

wOBA

1st time:  .338
2nd time: .347
3rd time: .355
4th+ time .350

I am not sure why the 4th+ time through the order, the offensive output actually goes down to 2nd-3rd time levels.  Maybe the weather is a factor.  Maybe the strategic nature of the PA’s at the end of the game.  Maybe the selective sampling aspect that if starting pitchers are still in the game the 4th+ time through the order, they are pitching well that day or the run scoring environment is low. 


(30) Comments • 2009/05/15 • SabermetricsBatting_Order
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