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Like I would know. I just thought I'd mess around and have some fun.

 I just wanted to see what some of the implications might be. So watch my every move, because this sort of stuff is not my thing.

An individual's WAR is derived from his Runs Above Replacement. This has both an offensive and a defensive component. Brett Gardner's RAR, for example, is 46, from which his 4.4 WAR is derived. Most of Gardner's value, however, is held to be defensive. His oRAR (offensive Runs Above Replacement) is 13.

Now if we add up the oRAR of every hitter on the Yankees, we get... 233. So from this I assume that the Yankees hitters have generated 233 more runs than would have been produced by replacement level players. And if this doesn't make sense... what am I missing?

The Yankees have actually scored 799 runs (all numbers, by the way, are through Saturday's games.) So... I assume that the Replacement Level for the Yankees is 566, and the above replacement level skills of their hitters have contributed an additional 233 runs. Is this a reasonable assumption? (At first glance, expecting replacement level players to create  566 runs of offense... well, it seems kind of high to me. There are actual teams, with people like Joe Mauer and Andrew McCutcheon in their lineups, who haven't scored that many. This seems like a pretty potent band of replacements. On the other hand - I actually would expect a team that plays in a good hitter's park to have a high expectation for runs scored. With that in mind, I will expect that the assumed replacement levels in Texas and Colorado will be much, much higher. They had better be, at any rate.)

We also have a RAR figure for the pitchers, which incorporates "defensive support, opponents, and ballpark." Freddy Garcia has a RAR of 32, from which is derived his WAR of 2.9 (which places his RAR in the context of innings pitched, defense, leverage.) The Yankees pitchers have accumulated 255 RAR, and that suggests to me that the Replacement Level they're working against is 833 runs allowed.

Put it together - the Yankees Replacement Level is 566 runs scored, 833 runs allowed. Such a team should play roughly .403 ball. (Well, I don't know about that. I'm kind of stuck with using BB-ref's 1.83 component in its Pythagorean formulae, and that's where that leads us. I think they'd be more likely to play .350 ball.)  Anyway - they'd have a record of about 58-86. If you're committed to measuring things against a hypothetical (it will always be hypothetical) replacement level, I suppose that's as good a place to set the bar as anywhere else.

Is that where the bar is for everyone? Let's do the exact same exercise for the other 29 teams, and look at all 30 replacement levels. We work our way backward to determine the implied expectation for runs scored and allowed, which will then provide an expected W-L record

Team              W    L     Pct.    RS      RA
                   
New York AL    58    86    .403    566    833
Boston    55    90    .379    475    787
Tampa Bay    53    91    .368    404    689
Toronto    56    90    .384    514    829
Baltimore     51    93    .354    472    861
Detroit    54    91    .372    461    783
Chicago AL    54    90    .375    482    810
Cleveland    56    87    .392    463    726
Kansas City    52    95    .354    444    823
Minnesota    57    88    .393    495    774
Texas    56    90    .384    509    814
Los Angeles AL   53    92    .366    400    687
Oakland    54    91    .372    479    818
Seattle    54    91    .372    437    741
                   
Philadelphia    56    86    .394    461    707
Atlanta    57    89    .390    468    726
New York NL    51    94    .352    431    785
Washington    56    87    .392    434    680
Florida    52    92    .361    428    746
Milwaukee    58    89    .395    467    726
St. Louis    54    91    .372    425    708
Cincinnati    59    86    .407    484    712
Pittsburgh    57    88    .393    479    749
Chicago NL    55    90    .379    449    735
Houston    56    89    .386    429    683
Arizona    60    86    .411    481    693
San Francisco    55    90    .379    406    674
Los Angeles NL   55    89    .382    421    679
Colorado    54    91    .372    523    878
San Diego   57    89    .390    441    686

 I'm going to pause for now, and puzzle over this. There are things that don't make much sense to me, mostly concerning the somewhat flexible replacement levels applied to different teams.

Like, what is the Replacement Level supposed to be? BB-ref says they set the replacement bar at .320, but as you can see, none of these teams would play that badly if you use a Pythagorean equation with a 1.83 component. The records actually add up to .381.

So I'm going to proceed under the assumption that .381 is the desired Replacement level, and continue to use the 1.83 component.

If we want everyone playing .381 ball - and I guess we do - in the AL our average group of replacements would score 496 runs and allow 804 runs; in the NL they'd score 460 runs and allow 758 runs. We'll run Park Adjustments for everybody... and Voila!

Team               W    L     Pct.    RS    RA
                   
New York AL    55    89    .382    518    840
Boston    55    90    .379    533    864
Tampa Bay    55    89    .382    446    724
Toronto    56    90    .384    536    868
Baltimore    55    89    .382    506    820
Detroit    55    90    .379    506    820
Chicago AL    55    89    .382    503    816
Cleveland    55    88    .385    489    792
Kansas City    56    91    .381    484    784
Minnesota    55    90    .379    479    776
Texas     56    90    .384    593    961
Los Angeles AL    55    90    .379    454    736
Oakland    55    90    .379    484    784
Seattle    55    90    .379    471    764
                   
Philadelphia     54    88    .380    460    758
Atlanta    55    91    .377    446    735
New York NL    55    90    .379    446    735
Washington    54    89    .378    446    735
Florida     54    90    .375    455    750
Milwaukee    56    91    .381    467    769
St. Louis    55    90    .379    432    713
Cincinnati    55    90    .379    476    785
Pittsburgh    55    90    .379    455    750
Chicago NL    55    90    .379    449    739
Houston    55    90    .379    472    777
Arizona    55    91    .377    488    803
San Francisco    55    90    .379    405    667
Los Angeles NL    54    90    .375    439    724
Colorado    55    90    .379    554    913
San Diego     55    91    .377    421    694

Hmm. Having levelled the Replacement playing field, what else can I do? I know....

The obvious thing to do is determine the true level of runs above replacement, for both offense and defense.

Previously, we had simply added up the contributions of individual players to discover the team's RAR figures. That led us down the rabbit hole. This time we're going to begin with the team's Replacement Level, and look at how many runs the team actually scored. That will tell us what each team's True RAR really is, and we can compare it to the sums we originally started with...


Team           RepLevel Actual Added Actual          RepLevel Actual Added  Actual    
    Runs   Runs    RAR   RAR    Error      RA     RA    RAR    RAR    Error

New York AL    518    799    233    281    48        840    580    253    260    - 7
Boston    533    782    307    249    -58        864    629    158    235    -77
Tampa Bay    446    616    212    170    -42        724    545    144    179    -35
Toronto    536    681    167    145    -22        868    681    148    187    -39
Baltimore    506    609    137    103    -34        820    759    102    61    41
Detroit   506    690    229    184    -45        820    645    138    175    -37
Chicago AL    503    587    105     84    -21        816    599    211    217    - 6
Cleveland    489    601    138    112    -26        792    639    87    153    -66
Kansas City    484    648    204    164    -40        784    710    113     74     39
Minnesota    479    555     60    76     16        776    714     60     62    - 2
Texas    593    757    248    164    -84        961    631    183    330   -147
Los Angeles AL   454    594    194    140    -54        736    558    129    178    -49
Oakland    484    592    113    108    - 5        784    621    197    163     34
Seattle    471    499    62    28    -34        764    598    143    166    -23
                                           
Philadelphia     460    651    190    191     1        758    461    246    297    -51
Atlanta    446    592    124    146     22        735    537    189    198    - 9
New York NL    446    645    214    199    -15        735    659    126    76     50
Washington    446    551    117    105    -12        735    601     79    134    -55
Florida    455    574    146    119    -27        750    637    109    113    - 4
Milwaukee    467    642    175    175     0        769    585    141    184    -43
St. Louis     432    673    248    241    - 7        713    625     83    88    - 5
Cincinnati    476    672    188    196     8        785    640     72    145    -73
Pittsburgh     455    549     70     94     24        750    620    129    130    - 1
Chicago NL     449    586    137    138    1        739    691     44     48    - 4
Houston    472    553    124    82    -43        777    710    -27     67    -94
Arizona    488    656    175    168    - 7        803    608     85    195   -110
San Francisco    405    484     78    79    1        667    510    164    157    7
Los Angeles NL   439    564    143    125    -18        724    550    129    174    -45
Colorado    554    667    144    113    -31        913    682    196    231    -35
San Diego    421    542    101    121     20        694    566    120    128    - 8

There's a very rough 10-1 ratio between RAR and WAR, but I'm not going to bury myself in those weeds. It's not a practical possibility, anyhow - I've separated the offensive and defensive components, and I wouldn't want to hazard a guess as to how many RAR we should give to Brett Gardner of the 281 from the Yankees' offense and the 260 from the Yankees defense.
WAR - What Is It Good For | 5 comments | Create New Account
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John Northey - Tuesday, September 13 2011 @ 05:02 PM EDT (#243858) #
Would mixing in defensive WAR make a difference? I don't think it would shift things by much, but a couple games here and there might help/hurt it.
Magpie - Tuesday, September 13 2011 @ 05:12 PM EDT (#243860) #
Would mixing in defensive WAR make a difference?

Possibly - but the RAR credited to the pitchers allegedly incorporates defensive support. So that might - I'm not sure - amount to double-counting. But in the case of Cleveland and Kansas City, it might be very significant, as the defensive spread between the two teams is huge (6.3 WAR, which is enormous for defense in this system) and the edge goes to Cleveland (2.8, the Royals are -3.5).

By the way, the Blue Jays defense rates as a positive this season, good for exactly 1 WAR. I might have been watching a different team.
bball12 - Tuesday, September 13 2011 @ 08:47 PM EDT (#243872) #
There are lots of statistics I like.

WAR is most definitely not one of them.

Too abstract for me - and ultimately - just dosn't tell me much at all.





krose - Tuesday, September 13 2011 @ 10:17 PM EDT (#243877) #
E. Starr and BB12 appear to agree on the usefulness of WAR. However one could argue that it may be both confusing and stimulating.
AWeb - Wednesday, September 14 2011 @ 09:44 AM EDT (#243899) #

I'm not sure why you went so far through the hoops to try and predict what the "R" is - add up every teams WAR from every player, subtract it from the team's wins - that's the implied replacement level. Others have already worried about the defense/pitching overlap. I seem to recall the actual level of replacement is something of an open question that people disagree on, but Wins-WAR=replacement level wins. For instance, the Jays have 31.5 WAR (fangraphs), so a replacement team would be around 43-105. I think the expected win % is supposed to average out to around 29-30% - they've defined it in a few places.

WAR - What Is It Good For | 5 comments | Create New Account
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