Normalized HR/100AB in WIS Displays Topic

I have been curious about the normalized statistic WIS displays for HR/100AB. WIS labels this HR/100AB#, but I’m going to call it HR#. It seems odd that WIS displays only a single digit for HR#. With most other statistics WIS calculates and displays to greater precision, more digits. I thought it was unusual that WIS appeared to round this off to a whole number.

When I looked more closely I discovered HR# is not rounded at all. For seasons where the actual league average for HR/100 AB is very close to the historic average, normalization will result in only very small changes to a player’s actual HR/100AB. For these years players with actual HR/100AB like 2.1 had HR# of 2. That is what you would expect. But players with actual HR/100AB of 2.8 or 2.9 also had HR# of 2, not 3. This was the case for players across the spectrum of HR# numbers. Clearly HR# is truncated, not rounded. So a player with a HR# of 2 has a normalized HR# between 2.00 and 2.99. The same is true for larger and smaller HR# numbers. So the difference between the calculations done by the WIS game engine, which I assume does not throw away the digits beyond the decimal place, can be significantly different from the ones displayed in search results in the WIS Team Center.

I thought it would be possible to calculate a more precise version of the HR# than displayed by WIS using a variation of the Bill James log5 formula that another WIS owner shared with me. It worked to a degree, but the actual formula must be slightly different. I made some adjustments based on how much above or below the historic average for HR/100AB each season was. Using this adjustment I could create estimates for every player that would fit the whole number truncated values for HR# reported by WIS in the Team Center. I think these estimates are accurate to .1 plus or minus .1.

Here are some of my results for players with the highest WIS HR#. My estimates are listed as EST HR#. AB, HR, and HR/100AB are actual (RL) statistics. In a few cases my estimates round up to one greater than the WIS HR#. Babe Ruth in 1927 was above 13.95 and rounded to 14. WIS lists his HR# as 13. The digits they dropped make him much closer to 14 than 13.

I’d like to know if anyone else has looked closely at this.
 
Player
Year
B
AB
HR
HR/100AB
WIS HR#
EST HR#
Ruth, Babe
1920
L
458
54
11.8
15
15.6
Ruth, Babe
1927
L
540
60
11.1
13
14.0
Williams, Ted
1953
L
91
13
14.3
13
13.8
Ruth, Babe
1921
L
540
59
10.9
13
13.5
Ruth, Babe
1928
L
536
54
10.1
12
12.3
Ruth, Babe
1926
L
495
47
9.5
12
12.1
Bonds, Barry
2001
L
476
73
15.3
11
11.6
Spencer, Shane
1998
R
67
10
14.9
11
11.6
McGwire, Mark
1997
R
174
24
13.8
11
11.4
Ruth, Babe
1924
L
529
46
8.7
11
11.3
McGwire, Mark
1998
R
509
70
13.8
11
11.2
Foxx, Jimmie
1932
R
585
58
9.9
10
10.6
Ruth, Babe
1929
L
499
46
9.2
10
10.5
Medina, Luis
1988
R
51
6
11.8
10
10.4
Ruth, Babe
1930
L
518
49
9.5
10
10.3
Ruth, Babe
1922
L
406
35
8.6
10
10.3
Gehrig, Lou
1927
L
584
47
8.0
10
10.2
Greenberg, Hank
1938
R
556
58
10.4
10
10.1
McGwire, Mark
2000
R
236
32
13.6
10
10.1
Ruth, Babe
1931
L
534
46
8.6
10
10.1
Hill, Glenallen
1993
R
87
10
11.5
10
10.0
Ruth, Babe
1923
L
522
41
7.9
9
10.0
Bond, Walt
1962
L
50
6
12.0
9
9.9
Ruth, Babe
1919
L
432
29
6.7
9
9.8
Ruth, Babe
1932
L
457
41
9.0
9
9.6
McGwire, Mark
1995
R
317
39
12.3
9
9.6
Foxx, Jimmie
1933
R
573
48
8.4
9
9.5
McGwire, Mark
1999
R
521
65
12.5
9
9.5
York, Rudy
1937
R
375
35
9.3
9
9.4
Connors, Merv
1938
R
62
6
9.7
9
9.4
Schmidt, Mike
1981
R
354
31
8.8
9
9.4
Wilson, Hack
1930
R
585
56
9.6
9
9.3
Keller, Charlie
1947
L
151
13
8.6
9
9.3
McGwire, Mark
1993
R
84
9
10.7
9
9.3
Greenberg, Hank
1946
R
523
44
8.4
9
9.3
Aaron, Hank
1973
R
392
40
10.2
9
9.2
Bonds, Barry
2004
L
373
45
12.1
9
9.2
Kiner, Ralph
1949
R
549
54
9.8
9
9.2
Ruth, Babe
1935
L
72
6
8.3
9
9.2
Williams, Cy
1923
L
535
41
7.7
9
9.2
Bonds, Barry
2002
L
403
46
11.4
9
9.2
Gehrig, Lou
1934
L
579
49
8.5
9
9.1
Aaron, Hank
1971
R
495
47
9.5
9
9.1
Bonds, Barry
2003
L
390
45
11.5
9
9.1
Monday, Rick
1981
L
130
11
8.5
9
9.0
Hisle, Larry
1980
R
60
6
10.0
9
9.0
Stargell, Willie
1971
L
511
48
9.4
9
9.0
McGwire, Mark
1996
R
423
52
12.3
8
9.0
1/2/2011 3:00 AM (edited)
I didn't read most of it, but you answered your own question in the first sentence. HR/100AB.
9/100=.090
9.1/100=.091
1/2/2011 10:59 AM
You missed the point. The difference can sometines be 2/100 vs. 2.999/100. That's about 6 HR per season for a player with 600 AB. Do you want a HR# 2 who's potential is 12 HR's or one with 18?

If you did the same with batting average everyone who hit from .290 to .29999 would all be reported as just .29
1/3/2011 4:47 AM (edited)
Ouch.
1/2/2011 4:39 PM
I had never considered this, but it is good to know. Thank you for sharing your discovery.
1/3/2011 6:25 AM
thanks, this is good stuff.
1/3/2011 10:58 AM
I think it's been known for a long time that HR# was truncated, not rounded.  There've been a few other threads about it over the years, but the data above is helpful - thanks.
1/3/2011 6:00 PM
I believe it is also true that the park effect numbers are truncated, not rounded.  So a HR of +2 could be anything from +2.00 to +2.99.
1/3/2011 7:16 PM
Posted by yogsloth on 1/3/2011 6:00:00 PM (view original):
I think it's been known for a long time that HR# was truncated, not rounded.  There've been a few other threads about it over the years, but the data above is helpful - thanks.
I didn't know that...
1/3/2011 9:52 PM
It follows that the three companion statisitics 1B/100AB#, 2B/100AB# and 3B/100AB# are also truncated, not rounded. I assume this has come up before too. It seems to me that WIS ought to offer up another digit or two for all of them.
1/4/2011 4:42 AM
Are they truncated only for display purposes, or does the truncated number also get used in event calulations?
1/4/2011 4:06 PM
No, and I think you can prove it using the "Batter/Pitcher calculator" here:
 http://www.whatifsports.com/mlb-l/league_averages.asp
1/4/2011 4:53 PM
I don't believe the normalizaed stats provided by WIS are used at all in the game engine. It seems that the RL stats are used and the normalization (the log5 calculation) occurs on the fly. Check the notes at the URL above. It says as much. For hitters the normaized stats WIS provides gives you an idea of how that log5 calculation would turn out against a historically average pitcher. That's why the normalized stats are important, even if they are not used directly. 
1/4/2011 5:31 PM
Normalized HR/100AB in WIS Displays Topic

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