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
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!
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...
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.
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.