Lopsided Divisions

[wjordan]

I was thinking about what the most lopsided divisions were since the CMP split in 2000, so I wrote a script to calculate the number of standard deviations away from the CMP average for each division's average OPR, as a rough metric of relative division strength:

(Average OPRs are pre-CMP for 2016, others are during CMP)

Rank Year Division, OPR STDVs away from CMP mean
1 2016 new 1.8792818365030972
2 2015 cars 1.5303350085259413
3 2005 arc 1.4719431806316507
4 2008 arc 1.275903384248631
5 2013 gal 1.216209400652486
6 2010 arc 1.193897925865034
7 2009 new 1.0851114986838635
8 2006 new 1.0248700734203415
9 2014 arc 1.0038012569280608
10 2004 arc 1.0012622874746064
11 2012 arc 0.9280026009838416
12 2011 cur 0.8605362826161431
13 2007 new 0.811482461068815
14 2012 new 0.791654392743334
15 2011 gal 0.723890899467247
16 2004 cur 0.6810947735598231
17 2006 cur 0.6086265070047694
18 2009 cur 0.5683687825075886
19 2014 new 0.5614091258588676
20 2007 gal 0.5525768854103231
21 2016 hop 0.5380374488668379
22 2016 cars 0.408018860269447
23 2010 cur 0.3624233446672217
24 2016 carv 0.33274494055516757
25 2015 hop 0.24442033949382544
26 2013 arc 0.2390748663971342
27 2015 tes 0.23375807978480515
28 2008 new 0.17118024613308042
29 2015 new 0.1671052847394964
30 2015 cur 0.14696320018600914
31 2007 arc 0.06155154314818187
32 2015 carv -0.08427736320166529
33 2015 gal -0.12364688580536025
34 2005 cur -0.24293216111580532
35 2013 cur -0.2777800696315326
36 2016 arc -0.2968187516006284
37 2011 new -0.302185773307164
38 2014 gal -0.30707335292203575
39 2008 cur -0.33900159574861066
40 2010 gal -0.43743412228260514
41 2006 gal -0.4667057439069076
42 2005 gal -0.5166965248897325
43 2009 gal -0.5693576991292799
44 2004 new -0.597846349430966
45 2005 new -0.7123144946261157
46 2012 cur -0.7304368298598461
47 2016 cur -0.7416191862759174
48 2016 tes -0.9674409454187557
49 2012 gal -0.9892201638673295
50 2009 arc -1.0841225820621547
51 2004 gal -1.084510711603477
52 2008 gal -1.108082034633088
53 2010 new -1.118887148249653
54 2016 gal -1.1522042028992627
55 2006 arc -1.166790836518207
56 2013 new -1.1775041974180875
57 2014 cur -1.2581370298648897
58 2011 arc -1.2822414087762262
59 2007 cur -1.4256108896273216
60 2015 arc -2.114657663723039

This is a fairly rough metric, with some possible bias towards the 8-divisional format due to a larger n and therefore a smaller standard deviation, but I think it's a good way to compare across years.