Sunday, December 28, 2008

Statistical Predictability: Home Runs

Typically, we pay for power because it's predictable. But it seemed like the best power hitters in 2008 were anything but.

Top 10 A.L. Home Runs 2008


RankTop 10 HR
AB
HR
RBI
SB
BA
$HR
$
Sal
AP
SW
2007

1Miguel Cabrera
616
371271.292143342333634
2
Carlos Quentin
480
361007.28814
316572
3
Alex Rodriguez
510
3510318.302133847424353
4
Jermaine Dye
590
34963.292132920181716
5
Jim Thome
503
34901.245132019182223
6
Grady Sizemore
634339038.268134035
32
29
31
7
Jack Cust
481
33770.231131612151016
8
Aubrey Huff
598321084.304123213141014
9
Jason Giambi
45832962.247122141267
10
Josh Hamilton
624321309.304123820251415

average
549341028.279133022211921

The corresponding American League hitters in my stolen base post cost $26 per player while earning $31. The batting average group cost $19 per player and earned $29.

These numbers are worth looking at since one way to measure predictability is to glance at what the best players per category were paid. Since we should, in theory, be paying the most to buy the best stats, lower costs should also mean that these hitters are less predictable.

What also tells me how unpredictable these hitters were is how few of them were projected to be in 2008's Top 10.


Top 10 A.L. Home Run Predictions (Rotoman) 2008
RankTop 10 HR
AB
HR
RBI
SB
BA
$HR
$
Sal
AP
SW
2007

1Alex Rodriguez
510
3510318.302133847424353
2
David Ortiz
416
23891.2649
1934313136
3
Paul Konerko
438
22622.24081225232118
4
Jermaine Dye
590
34963.292132920181716
5
Travis Hafner
198
5241.1972126232518
6
Carlos Pena
490311021.247122126
23
26
31
7
Richie Sexson
280
12361.221551114116
8
Vladimir Guerrero
54127915.303102833323232
9
Manny Ramirez
36520681.29981926272820
10
Miguel Cabrera
616371271.292143342333634
11
Justin Morneau
623231290.30092928262823
12
Nick Swisher
49724693.21991124162016

average
46424833.27292029262725

Only A-Rod, Dye, and Cabrera repeat on both lists, though Vlad barely misses and Pena misses by one home run, which isn't bad given his injury.

Did you notice how aggressive the market is about these hitters?

At $29 per player, they're $4 out in front of what these guys earned in 2007. A-Rod, Ortiz and Pena are the only three of the 12 who get pay cuts. Everyone else is expected to do better, and many of these hitters were expected to do a lot better.

Konerko, Hafner, Sexson, Manny, Cabrera, Morneau, and Swisher all get $5 or greater raises.

You don't see this kind of largess for either the BA guys (overall $2 pay cut) or the SB guys ($1 raise). Cabrera and Mauer (BA) and Ellsbury and Gomez (SB) are the only other predicted best category hitters who get the same $5+ courtesy. In Ellsbury and Gomez's case, they played partial seasons in '07 and it's anticipated they'll play a full campaign in '08. For Mauer, the expectation is that he'll bounce back from an injury.

The market is definitely chasing power more than it's chasing any other category. Despite the fact that it's less predictable than steals and not much more predictable than batting average, which should be far less predictable.

Top 10 N.L. Home Run Predictions (Rotoman) 2008
RankTop 10 HR
AB
HR
RBI
SB
BA
$HR
$
Sal
AP
SW
2007

1Ryan Howard
610
481461.251173037313332
2
Andruw Jones
209
3140.1581
-522191913
3
Prince Fielder
588
341023.276122638303235
4
Adam Dunn
511
401002.236142126242628
5
Alfonso Soriano
453
297519.280102834323432
6
Lance Berkman
5542910618.312103730
31
25
27
7
Carlos Lee
436
281004.314102931332834
8
Mark Teixeira
38120780.28471735333127
9
Carlos Delgado
598381151.271132718141517
10
Aramis Ramirez
554271112.28992627282426

average
48930955.273102430282727

The N.L. expert leagues aren't quite as generous; only Howard, Jones, and Teixeira get the same $5+ raises. Still, this group gets a $3 per player raise over 2007, compared to a push for the predicted BA leaders and an $8 paycut for the predicted SB leaders.

Dunn and Lee are the only players who get a pay-cut.

Despite the fact that HR are unpredictable, the market thinks that they are incredibly predictable, so much so that they're willing to pay beyond what these guys earned in 2007 to make sure that they get their power.

And in the end they do.

Top 10 N.L. Home Runs 2008
RankTop 10 HR
AB
HR
RBI
SB
BA
$HR
$
Sal
AP
SW
2007

1Ryan Howard
610
481461.251173037313332
2
Adam Dunn
511
401002.23614
2126242628
3
Carlos Delgado
598
381151.271132718141517
4
Ryan Braun
611
3710614.285133337293736
5
Ryan Ludwick
538
371134.299133236312
6
Albert Pujols
524371167.357134335
33
36
33
7
Adrian Gonzalez
616
361190.279132826251823
8
Prince Fielder
588341023.276122638303235
9
Pat Burrell
53633860.250121818151419
10
Hanley Ramirez
589336735.301123941414151
11
Chase Utley
6073310414.292123338333632
12
David Wright
6263312415.302123843383946

average
580371088.283133130292830

Only Howard, Dunn, Delgado, and Fielder make both lists, but this isn't a surprising group of hitters. Only Ludwick is a bargain basement item, and the only other hitters who cost less than $20 are Burrell and Delgado.

If you're only looking at power, though, this group was eminently satisfying.

Were Ryan Howard owners who plunked down $37 disappointed?

He lost $4 in batting average. But he earned a combined $34 in HR/RBI in the 4x4 format. Owners who bought Howard needed to scramble to make up that gap in average. But they sure had a nice leg up in HR.

I don't recommend overpaying for anyone. But I can see why owners did pay more for power. Expecting a 37/108/8/.283 hitter and getting back a 30/95/5/.273 hitter isn't a bad return at all.

However, looking for good batting average hitters and paying a little extra for them in the N.L. still might be a better play. That list was populated with not just high average hitters, but great hitters. The HR list has more of guys like Howard, Dunn, Delgado and Burrell. They help a lot in two categories, do nothing or next to nothing in one, and lose you Roto cash in a fourth. Having contributors across the board is why you should have been disappointed in your $37 investment in Ryan Howard, even if you weren't.

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