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Peak ages for hitters

by Keith Woolner

April 16th, 1997
John Hunt's Fantasy Beat column in Baseball Weekly recently
ran an article claiming to disprove the widely held view
in the sabermetric community that hitters, on average,
reach their offensive peak around age 27.  The author
of the study claimed that there were no studies he could
find that actually supported the "age 27" theory, and
suggested that it had been passed around long enough that
it simply came to be accepted without proof.
As it so happens, Bill James (and others) have looked
at this systematically, which led them to the age 27
hypothesis.  I myself have conducted two different
investigations into hitters' peak ages, which I describe
below:
The first study looked at all players who played 10 or more years
in the majors (no AB minimum required).  For each, I looked at
the maximum number of adjusted batting runs they had in any season.
Adjusted Batting Runs are defined by Thorn & Palmer in _Total Baseball_
and represent the number of runs contributed by a player above the
league average, adjusted for park effects, using the Linear Weights
methodology.  The age at which the player attained his highest ABR total
is defined as his peak year.  If two or more years tie, each is counted
as a peak year.  The breakdown of the ages at which 10+ year players
peak in ABR is as follows:
AGE: age of peak season
PEAK: number of players who peaked at this age
%Peak: percentage of players who peaked at this age
Cumul%: cumulative percentage, or the percentage of players
       who have peaked at this age or earlier.
AGE    PEAK   %Peak  Cumul%
 18       1    0.1%   0.06%
 19       5    0.3%   0.38%
 20      15    0.9%   1.33%
 21      29    1.8%   3.17%
 22      55    3.5%   6.65%
 23      87    5.5%  12.16%
 24      90    5.7%  17.86%
 25     148    9.4%  27.23%
 26     160   10.1%  37.37%
 27     163   10.3%  47.69%
 28     155    9.8%  57.50%
 29     138    8.7%  66.24%
 30     141    8.9%  75.17%
 31     107    6.8%  81.95%
 32      91    5.8%  87.71%
 33      68    4.3%  92.02%
 34      46    2.9%  94.93%
 35      25    1.6%  96.52%
 36      22    1.4%  97.91%
 37      13    0.8%  98.73%
 38       9    0.6%  99.30%
 39       6    0.4%  99.68%
 40       1    0.1%  99.75%
 41       1    0.1%  99.81%
 42       2    0.1%  99.94%
 43       1    0.1% 100.00%
Conclusion: For players who will have significantly long careers,
the most common age to peak is age 27, with 25-28 being the most
likely range for a peak year.  By age 31, over three-quarters of
all such players will have seen their best year come and go.
A second study used a different approach.  I looked at all batters
who had 400 or more plate appearances (AB+BB) in two consecutive seasons,
and measured the change in production from year to year.  For example,
I looked at all players with 400+ PA's at age 25, and also had had 400+
PA's at age 26, to see what their overall change in AVG, OBP, SLG, etc.
was.  The change was measured as a ratio -- e.g.  AVG(26)/(AVG(25), and
multiplied by 1000 to eliminate the decimal.  1000 is average, 950
represents a 5% decline, and 1100 represents a 10% increase.
I measured several rates of production, including AVG, OBP, SLG, Home
Run to Double ratio, and Home Run to Hit ratio (the latter two
were part of an investigation into how the shape of a player's
power output changes with age).  I also looked at Runs Created per
Out (which is equivalent to RC/27, which is found in Nelson Lu's reports),
which can serve as a metric for overall offensive production for our
purposes.
AGE: The age we are comparing to the previous year's production
     (i.e. the age 27 line compares how age 27 players did versus age 26)
COUNT: number of players in the sample (400+ PA at AGE & AGE-1).
      30 player minimum sample to be included in the table below
AB1: # of at bats at age N-1
AB2: # of at bats at age N
AVG, OBP, SLG: ratio of change from N-1 to N in this stat
HR_2B, HR_H: same as above, but for HR/2B ratio and HR_H ratio
RC_OUT: ratio of change in Runs Created per Out from age N-1 to N
AGE COUNT    AB1    AB2  AVG  OBP  SLG HR_2B HR_H   RC_OUT
 21    54  27411  28600 1040 1042 1051   903 1109     1112
 22   170  86271  89080 1012 1018 1035   891 1136     1059
 23   324 166333 169966 1008 1017 1010   997 1029     1031
 24   501 257619 262265 1000 1010 1005   997 1031     1015
 25   678 349074 352995 1006 1010 1011   976 1040     1024
 26   835 428589 435722  995 1002  999   975 1029      999
 27   929 483867 478894  991  999  990   986 1009      985
 28   923 476541 469018  993 1001  989  1043  982      987
 29   867 445564 441217  993  995  991   997 1001      983
 30   784 402334 401527  989  995  985   990 1001      976
 31   652 338692 332899  987  993  982  1056  965      970
 32   536 278558 272739  989  993  984   961 1007      973
 33   432 223242 217934  986  989  986  1025  993      970
 34   324 167554 161813  980  986  967  1048  937      946
 35   228 116587 114137  981  985  969  1070  943      947
 36   167  86422  82234  984  990  972  1058  944      956
 37    97  49521  47469  974  974  960  1007  972      925
 38    64  32125  30436  974  983  964  1058  940      938
 39    38  18543  18100  960  958  963  1014 1033      907
As you can see, there's a steady increase in production until about
age 26-27, followed by a accelerating decrease.  In fact, this suggests
that players peak slightly earlier than age 27, but still close enough
to support the overall conclusion that players do *not* peak, on the
average, anywhere near age 30 or more.

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Copyright 1997-2001 by Keith Woolner. All included authors retain the copyrights to their original works.