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Around SBN: The Amateur Mathematics Of Linsanity

Derby Curse? Nah

Another reader requested piece today: testing the myth (or is it) of homerun derby participants changing their approach and suffering second half regresses.

Star-divide

Taking the combatants from 1998 through 2007 (84 total) I looked up their first half and second half OPS (with help from user SaberToothedPie) to see if the players really did suffer a let down post derby. Why not homeruns? Because for one the games are disproportioned and 15 homers in the second half is actually more impressive than 15 in the first half on a rate scale. Hitters also can have their ratios like HR/FB% regress or progress, meaning homeruns just even out over the 162 game season. Instead we're looking at an outline of their entire offensive performance, or at least a summed up version.

Year Player PreASBOPS PostASBOPS NET W
2007 Morneau 0.944 0.702 -0.242
2007 Ordonez 1.05 1.004 -0.046
2007 Rios 0.87 0.831 -0.039
2007 Guerrero 0.962 0.935 -0.027 W
2007 Fielder 0.996 1.034 0.038
2007 Howard 0.933 1.016 0.083
2007 Holliday 0.964 1.073 0.109
2007 Pujols 0.886 1.097 0.211
2006 Wright 0.961 0.844 -0.117
2006 Dye 1.043 0.965 -0.078
2006 Cabrera 0.998 0.998 0
2006 Tejada 0.871 0.886 0.015
2006 Glaus 0.859 0.879 0.02
2006 Berkman 1.011 1.078 0.067
2006 Ortiz 0.996 1.121 0.125
2006 Howard 0.932 1.259 0.327 W
2005 Abreu 0.955 0.787 -0.168 W
2005 C. Lee 0.864 0.747 -0.117
2005 I. Rodriguez 0.761 0.697 -0.064
2005 A. Jones 0.93 0.911 -0.019
2005 Choi 0.777 0.814 0.037
2005 Ortiz 0.982 1.024 0.042
2005 Teixeira 0.93 0.982 0.052
2005 Bay 0.93 0.998 0.068
2004 Blalock 0.941 0.743 -0.198
2004 Thome 1.059 0.868 -0.191
2004 Sosa 0.939 0.777 -0.162
2004 Bonds 1.421 1.421 0
2004 Tejada 0.887 0.902 0.015 W
2004 Berkman 1.008 1.024 0.016
2004 Palmeiro 0.771 0.825 0.054
2004 Ortiz 0.954 1.021 0.067
2003 Edmonds 1.066 0.864 -0.202
2003 Boone 0.963 0.815 -0.148
2003 Anderson 0.943 0.807 -0.136 W
2003 Delgado 1.053 0.965 -0.088
2003 Giambi 0.966 0.898 -0.068
2003 Pujols 1.121 1.084 -0.037
2003 Sheffield 1.019 1.028 0.009
2003 Sexson 0.889 0.98 0.091
2002 Konerko 0.949 0.743 -0.206
2002 Berkman 1.053 0.901 -0.152
2002 Sosa 1.059 0.911 -0.148
2002 Hunter 0.911 0.78 -0.131
2002 Sexson 0.882 0.847 -0.035
2002 Giambi 1.032 1.035 0.003 W
2002 A. Rodriguez 1.008 1.023 0.015
2002 Bonds 1.342 1.432 0.09
2001 L. Gonzalez 1.189 1.032 -0.157 W
2001 Boone 0.945 0.956 0.011
2001 Glaus 0.877 0.922 0.045
2001 Helton 1.09 1.148 0.058
2001 A. Rodriguez 0.993 1.052 0.059
2001 Sosa 1.126 1.225 0.099
2001 Giambi 1.082 1.202 0.12
2001 Bonds 1.314 1.455 0.141
2000 E. Martinez 1.114 0.883 -0.231
2000 Everett 1.05 0.831 -0.219
2000 Guerrero 1.131 1.004 -0.127
2000 Delgado 1.185 1.069 -0.116
2000 C. Jones 1.023 0.913 -0.11
2000 Griffey 0.935 0.952 0.017
2000 Sosa 0.962 1.138 0.176 W
1999 Surhoff 0.923 0.737 -0.186
1999 S. Green 1.047 0.889 -0.158
1999 Griffey 1.024 0.882 -0.142 W
1999 Bagwell 1.109 0.968 -0.141
1999 Burnitz 0.998 0.886 -0.112
1999 Garciparra 1.054 0.988 -0.066
1999 Walker 1.188 1.135 -0.053
1999 Jaha 0.981 0.956 -0.025
1999 Sosa 0.972 1.036 0.064
1999 McGwire 1.027 1.236 0.209
1998 Thome 1.09 0.792 -0.298
1998 Griffey 1.061 0.876 -0.185 W
1998 Lopez 0.937 0.789 -0.148
1998 Easley 0.876 0.731 -0.145
1998 McGwire 1.252 1.189 -0.063
1998 A. Rodriguez 0.94 0.894 -0.046
1998 Palmeiro 0.959 0.928 -0.031
1998 C. Jones 0.955 0.946 -0.009
1998 Alou 0.975 0.988 0.013
1998 Castilla 0.926 0.98 0.054

Above you see the 843 players, their first and second half OPS, a "net" column (second half OPS - first half OPS) and a "W" column - only the players who won that derby have a W listed. 50 of the 84 players either saw no post-derby gain or suffered an OPS drop, meaning only 34 had positive post-derby experiences.It's important to note that Ivan Rodriguez played in all of 10 games following the derby, hence his absence.

So can we predict a fall off for some of the contestants in tomorrow's derby? It seems quite likely that at least a few will have lower second half OPSes, but correlation doesn't always stem from causation, so while people may think the derby affected a player, there's nothing too conclusive to be drawn, despite only a .443 R2 between first half and second half OPSes which I actually figured would be a bit higher.

Hrd_medium

To see if this is regular or not we took the top 50 homerun hitters from 2007 and compared their first and second half OPSes - since in the end we are talking about some of their power hitting brethren who, again in theory, didn't "mess up their swings" or anything of the sort. The R2 of the first and second half OPSes: .344.

Top50_medium

That means your average HRD participant actually has a better chance at maintaining his first half OPS than your top 50 homerun hitters, at least in 2007.

Comment 17 comments  |  0 recs  | 

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improvement of graph

Interesting work. Might I suggest to make the graph more readable you scale down both the axes so only numeric coordinates that contain data are shown. Second, if you were to plot a line where the x and y values were exactly equal across the graph it would be easier to visualize the results as one could directly see how many players improved/declines and the rates of those declines.

I assume that you took out individuals who may have gotten injured early in the second half, whereas this could have led to a unrealistic OPS split?

by RaysTheRoof on Jul 13, 2008 11:08 PM EDT reply actions  

On your last point, yes.

You definitely have a point about the scales, I should’ve done that originally.

by R.J. Anderson on Jul 13, 2008 11:13 PM EDT up reply actions  

sorry

about the x=y line suggestion. Now that I think about it that doesn’t make too much sense.

by RaysTheRoof on Jul 13, 2008 11:14 PM EDT up reply actions  

It makes sense

I’m just not sure how helpful it would be visually though.

by R.J. Anderson on Jul 13, 2008 11:21 PM EDT up reply actions  

database?

Is there a specific database where you get access to the statistics you use? I tried using mlb.com to compile some data and it was brutal.

by RaysTheRoof on Jul 13, 2008 11:44 PM EDT up reply actions  

No database

I hand collected it through BR’s splits pages.

by R.J. Anderson on Jul 13, 2008 11:47 PM EDT up reply actions  

I have faith

Evan will be just fine after the Derby and ASG. I’d be more worried about the pressure put on him by the offensive struggles of the team in general.

TAMPA BAY RAYS: 2008 CITRUS SERIES CHAMPIONS

by JMB on Jul 14, 2008 9:04 AM EDT reply actions  

Are there any statistics

for rookies in the HRD who also happen to be the most handsome contestant? Because I am predicting that he will get an OPS of 1.500 after the HRD, and then we will elect him president of the world for life.

B Rad the Ray Fan
9 = 8

by BWoodrum on Jul 14, 2008 9:54 AM EDT reply actions  

the jinx is a sampling bias

Which players tend to be picked for derby? It tends to be players having breakthrough power years or breakthrough years in general. Older, established power threats tend not to participate. (I realize this is not a hard and fast rule, just a trend.)

Ok, so if we’re selective players who have had breakout seasons in the first half, what can we expect from them, whether or not they participate in the derby? We would expect that part of their breakout is due to luck. Which is more likely, that someone who hit 25 homeruns actually has 20 homerun talent but got lucky or that they actually have 30 homerun talent and got unlucky? The first one, obviously. That’s the whole point of regression. Performances far away from the mean most likely include random variation.

Therefore, since breakout performances should have future expectations regressed, it’s not the derby’s fault for bringing their stats down.

It’s like the SI cover jinx. They only put people on the cover who do awesome shit. People who do awesome shit have nowhere to go but down.

by Sky Kalkman on Jul 14, 2008 11:54 AM EDT reply actions   1 recs

IIRC your coefficient of .9076

would indicate an overall difference of .0924 between a perfectly, positive correlated sample. Would this indicate a roughly 9% decrease in first half to second half OPS across the board?

Be who you are and say what you feel, because those who mind don't matter, and those who matter don't mind.

by Sandy Kazmir on Jul 14, 2008 2:12 PM EDT reply actions  

Yeah, I can make up statistical sounding stough too!

The problem is that the leading coefficient of the reverse normalizer is well over 1.034, the mean that we rely on for most normalized calibrations with sample sizes over 15. The truthometer also has a suspiciously low standard deviation, which is liable to discount the overall contingency barometer to -0.502 or lower.

Is it fun to read things that don’t make sense!? That’s what I thought.

B Rad the Ray Fan
9 = 8

by BWoodrum on Jul 14, 2008 2:55 PM EDT up reply actions  

Truthometer

That’s funny right there I don’t care who you are.

Be who you are and say what you feel, because those who mind don't matter, and those who matter don't mind.

by Sandy Kazmir on Jul 14, 2008 3:18 PM EDT up reply actions  

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