Sunday, September 1, 2013

Using RE24 to Evaluate Relievers

Run expectation is one way to measure a player's effectiveness, either on offense or pitching.  In every 24-out situation, there's a different run expectation depending on the the baserunners and outs (the inning and score is irrelevant in RE24).  The difference between the run expectation at the start of a PA and the end of the PA gets charged to both the hitter and pitcher.  FanGraphs provides an example using the Red Sox and Rockies 2007 World Series game.  At the start of an inning the run expectation was .52 (this is just the league runs/league innings), then Ellsbury doubled that changed the run expectation to 1.15.  The difference between 1.15 and .52 is 0.63.  Therefore Ellsbury gets charged with +0.63 and Cook gets charged with -0.63.  

During the course of the season, these run expectation differences get added and subtracted to the player's total and at the end of the season they get a cumulative total that shows how much better they've been than league average.  Run expectation is extremely useful in generating linear weights which then can be applied to stats such as wOBA.  However, many analysts agree that RE24 can be very useful in proving relief pitcher value because they often come in and leave in the middle of an inning.  Say a starter loads the bases in the 7th inning and a reliever comes in and gives up a 3-run double and then a strikeout.  All 3 runs get charged to the starter while the reliever gets a scoreless 1/3 of an inning.  ERA doesn't properly show what happened, but RE24 does. 

The table below shows the Tigers relievers' RE24 as of games played through 8/31 provided by FanGraphs:


Player IP RE24
54 2/3
19.91
69   
16.70
14 1/3
3.50
14 1/3
1.57
11 2/3
0.93
2   
0.84
26   
-0.11
18   
-0.35
22 2/3
-2.18
19 1/3
-2.38
39   
-3.27
33   
-3.73
4   
-4.78
4 2/3
-6.02
36   
-6.46
4 1/3
-8.73

Tangotiger recently showed us how we can put RE24 on a RA9 or ERA scale:

If it helps, we can recast RE24 into an RA9 scale (i.e., similar to ERA) as follows.  Say the league average is .48 runs per inning.  Say you have a pitcher that has an RE24 of +40 runs and has pitched 200 innings.  That means the league average is .48 x 200 = 96 runs, and our pitcher here is 40 runs better than that, or 56 runs allowed.  So, his (RE24-based) RA9 is simply 56/200*9 = 2.52.
So far there have been 16,965 runs allowed in 36,380 1/3 IP for a league run/inning of 0.47 so far in 2013.  Using Joaquin Benoit as an example, he has pitched 54 2/3 innings; the league average would allow 0.47 * 54 2/3 = 25.49 runs.  Benoit has been 19.91 runs better or (25.49-19.91) 5.58 runs.  5.58 divided by 54 2/3 times 9 = 0.92.  The table below shows all of the Tigers relievers using this new metric (which I'm calling reRA9):


Player IP reRA9
Rick Porcello
2   
0.42
Joaquin Benoit
54 2/3
0.92
Jeremy Bonderman
14 1/3
2.00
Drew Smyly
69   
2.02
Jose Veras
14 1/3
3.21
Jose Ortega
11 2/3
3.48
Bruce Rondon
26   
4.23
Evan Reed
18   
4.37
Al Alburquerque
39   
4.95
Luke Putkonen
22 2/3
5.06
Darin Downs
33   
5.21
Jose Valverde
19 1/3
5.30
Phil Coke
36   
5.81
Jose Alvarez
4   
14.95
Octavio Dotel
4 2/3
15.81
Brayan Villarreal
4 1/3
22.33
We could then compare the pitcher's reRA9 to his ERA to see if he's been overvalued or undervalued:

Player IP reRA9 ERA Difference
Octavio Dotel
4 2/3
15.81
13.50
2.31
Luke Putkonen
22 2/3
5.06
2.78
2.28
Brayan Villarreal
4 1/3
22.33
20.77
1.56
Evan Reed
18   
4.37
3.00
1.37
Phil Coke
36   
5.81
5.00
0.81
Bruce Rondon
26   
4.23
3.81
0.43
Rick Porcello
2   
0.42
0.00
0.42
Al Alburquerque
39   
4.95
4.85
0.11
Jose Veras
14 1/3
3.21
3.14
0.07
Darin Downs
33   
5.21
5.18
0.03
Drew Smyly
69   
2.02
2.22
-0.20
Jose Valverde
19 1/3
5.30
5.59
-0.28
Jose Ortega
11 2/3
3.48
3.86
-0.38
Jeremy Bonderman
14 1/3
2.00
2.51
-0.51
Joaquin Benoit
54 2/3
0.92
1.48
-0.56
Jose Alvarez
4   
14.95
15.75
-0.80

Villarreal and Valverde are no longer with us.  Other pitchers like Dotel, Porcello and Alvarez have too small of a sample size to tell us much.  It looks like Putkonen, who has a nice ERA, has been overvalued according to his RE24.  And Benoit, who has been extremely good in his role this year, looks to be even better by looking at RE24.  

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