See http://sabermetricresearch.blogspot.com/2007/07/are-mlb-player-skills-normally.html for
details on what this file is about.
--------------
Recap
of assumptions: there are three skills that players have: hitting, range, and
arm.
Overall,
hitting is worth 70%, range 20%, and arm 10%.
The three skills are independent.
They
all have a mean of 100 and an SD of 16.
Two
million random players were generated.
Any player with an overall score > 146 was
Included
in the sample. That worked out to 87
players.
Here's
the frequency distribution for overall skill:
Midpt Freq
146.500 29 *****************************
147.500 18 ******************
148.500 12 ************
149.500 9 *********
150.500 11 ***********
151.500 2 **
152.500
1 *
153.500 2 **
154.500 1 *
155.500 0
156.500 0
157.500 0
158.500 0
159.500 0
160.500 2 **
This is
the distribution for hitting:
Midpt Freq
152.000 5 *****
154.000 5 *****
156.000 7 *******
158.000 6 ******
160.000 11 ***********
162.000 13 *************
164.000 12 ************
166.000 6 ******
168.000 9 *********
170.000 4 ****
172.000 5 *****
174.000 2 **
176.000 1 *
178.000 0
180.000 0
182.000 0
184.000 1 *
This is
range:
Midpt Freq
85.500 5 *****
90.500 0
95.500 4 ****
100.500 3 ***
105.500 9 *********
110.500 10 **********
115.500 14 **************
120.500 12 ************
125.500 7 *******
130.500 7 *******
135.500 4 ****
140.500 8 ********
145.500 2 **
150.500 1 *
155.500 0
160.500 1 *
And
this is arm:
Midpt Freq
76.000 3 ***
80.000 1 *
84.000 6 ******
88.000 5 *****
92.000 6 ******
96.000 9 *********
100.000 7 *******
104.000 11 ***********
108.000 6 ******
112.000 14 **************
116.000 2 **
120.000 4 ****
124.000 3 ***
128.000 6 ******
132.000 1 *
136.000 3 ***