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Conference Rankings Revisited

Pac-10 Dominance Confirmed

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Conference Rankings Revisited

As everyone is counting down the minutes to the first tip-off of madness while putting the finishing touches on their brackets, here is some good old-fashion data to chew on.  

Bruinhoo posted a very interesting diary on March 1st entitled "Does Conference RPI tell us Anything Meaningful?" that he mostly got ripped for.  Bruinhoo had the insight to throw out the highest and lowest RPI scores from each conference in order to eliminate the outliers that may have been affecting the average RPI for each conference and skewing the result.  While this may seem academic and pointless to most, it was great to see that I was able to find someone of greater than, or equal, sports nerdiness right here in the Bruin Nation.    

You see, over the past 4-5 years I've been tinkering with a College Basketball Tournament Bracket Calculator that assigns a raw score to each team participating.  The team in each game with the higher raw score wins the game and so-on until you have a tournament winner and with any luck office bragging rights and a fist full of $20s.  

My calculator is heavily dependent on quantifying and ranking all the tournament conferences because my theory is that a team will be most prepared for the tournament, and most likely to win any individual tournament game, if they have been winning games consistently in a competitive conference all year.  I believe that the strength of your conference means more, in terms of doing well in the tourney, than just your strength of schedule.  Basically, the whole is equal to more than the sum of the parts when it comes to testing teams for a tournament atmosphere.

By this point you are probably staring cross-eyed at your computer saying to yourself, "Why do I care"?  Well, you care because with some inspiration from Bruinhoo and some Excel assistance from my accountant wife, I was able to confirm what you probably already know; the Pac-10 is FAR superior to any other conference this year.

Now I stopped using conference RPI a few years ago because there are some real statistical problems with it and also because it's difficult to work with a four digit decimal number.  I use the far superior data from TeamRankings.com to rank the conferences but like Bruinhoo, I've wanted to get rid of the outliers in a meaningful way.  I didn't want to necessarily just throw out the highest and lowest teams from each conference because those teams may be perfectly representative of that conference.  What I ended up doing was using a common statistical definition of an outlier (++defined below) to throw out those truly non-representative teams like the putrid, Lavin-Loving Beavers of Oregon State.

Here are the results for the top 11 conferences (ranked according to my adjustments. Sorry first time poster the formatting stinks):

Rank. Conference - Orig Power Ranking - Tin Power Ranking

1.Pacific 10 - 85.3 - 87.2
2.Big 12 - 84.3 - 83.4
3.Big East - 83.1 - 83.1
4.ACC - 84.5 - 82.5
5.Big 10 - 82.2 - 82.2
6.SEC - 82.1 - 81.2
7.Missouri Valley (MVC) - 80.6 - 80.4
8.Atlantic 10 - 79.7 - 79.7
9.MWC - 77.8 - 77.8
10.Horizon - 77.6 - 77.6
11.Conference USA - 76.7 - 76.4

What you can see (besides that Memphis' conference is a total joke) is that our Pac-10 is way above the pack this year when the Beavers are thrown out.  The average difference between the adjusted rankings (not counting the difference between 1 & 2) is .78, meaning that the difference between the first and second conferences is 4.4 times larger than the average distance between 2-11.  Said another way, the difference between the Pac 10 and the Big 12 (#1 & #2) is just about the same as the difference between the Big 12 and the Missouri Valley Conference.  Quick, who would you rather the Bruins play in the tourney: Kansas & Texas (top two Big 12) or Drake & Illinois St (top two MVC)?  

As you can see, most conferences did not even have a true outlier as the original power ranking and adjusted ranking are the same.  Of some interest, both Duke and NC were thrown out for the ACC adjustment which is the reason that one fell from being ranked 2nd, to ranked 4th.  I actually expected Conference USA to fall off the map but their lowest team, Rice, got tossed as well as Memphis.  

So what does this all mean?  Well, UCLA won the regular season and conference tournament in by far the most demanding and stacked conference in the Country.  That's about it. Does it mean they'll win it all?  We don't know because my calculator deals with statistics which means that it will never guarantee an outcome and it'll be 30 years before I even know if it works properly, which kinda sucks.

We know that our Warriors are ready and prepared but we love this game, our Bruins and this tournament because no one can ever predict the outcome of game with 100% accuracy.  That's why tonight, we need to focus our cumulative energies on trouncing by far the worst team (statistically) in this year's tournament!

++ An outlier for the purposes of this post is defined as 1.5 x (IQR) outside the 25th or 75th percentile with the IQR (interquartile range) defined as the difference between the 75th and the 25th percentile.  EX: If the 25th percentile of a data set is 20 and the 75th percentile is 30 then anything below 5 or above 45 would be an outlier (IQR = 30 - 20 = 10.  10 x 1.5 = 15.  20-15=5.  30+15=45).  

This is a FanPost and does not necessarily reflect the views of BruinsNation's (BN) editors. It does reflect the views of this particular fan though, which is as important as the views of BN's editors.

0 recs  |  Comment 7 comments

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Eliminating outliers
I don't get why you are eliminating outliers. For example; Oregon State. The other nine teams all played them twice and padded their resumes as a result. I think you have to look at the whole conference, warts and all. After all, they are conference rankings and should include ALL teams.    
Boisebruin

by boisebruin on Mar 20, 2008 12:59 AM PDT reply actions   0 recs

Re: Eliminating outliers
2, 10, 12, 17, 30, 34, 37, 62, 65, 280... those are the team power rankings for the pac-10 according to TeamRankings.com.  It's just that the average of these numbers does not reflect the reality of the difficultly in playing in the Pac-10, week in and week out througout the regular season.  When you have to try to compare it to other conferences, it's more important to capture the essence of the data rather than just adding them together and dividing by 10.  

It's not a perfect science which is what makes it interesting.

Must now go to bed, I took tomorrow off to watch a lot of basketball...

Tinman

by Tinman17 on Mar 20, 2008 1:34 AM PDT up reply actions   0 recs

The outlier issue is tricky
The point regarding Oregon State is certainly a valid one; in taking away the highest-rated team was an attempt to balance somewhat the automatic win that is OSU by also taking away what was this year a near-automatic loss for opponents. While ideally, all teams should be taken into account, when there is a team that is so far out of the norm of a conference as OSU was this year, some account should be taken.

For those that care about what conference rankings/strength may say about a team, a much bigger issue has to do with the unbalanced schedules that the other major conferences feature. Just in the Big XII, Kansas played a significantly easier schedule (RPI average rank: 88.2) than did Texas (64.4). While Duke and UNC were given reasonably challenging schedules within the ACC, Wisconsin's Big 10 slate was downright hilarious (21 games, including the tourney, 12 of which were against teams outside the top-100, 2 more against the #99 ranked team).

by bruinhoo on Mar 20, 2008 7:24 AM PDT up reply actions   0 recs

Correction
14 of Wisconsin's 21 Big-10 games were against teams outside of the top-100.

For the year, they went 7-4 against top-100 opponents. A slight difference from UCLA's 20-2 record, I must say.

by bruinhoo on Mar 20, 2008 7:31 AM PDT up reply actions   0 recs

Agreed
The outlier issue is a mind-bender when you start thinking about it too much, though I don't agree that knocking out the top and bottom give a better result.  Oregon St. was definitely an auto-win for everyone, but UCLA was not necessarily and auto-loss for everyone.  UCLA had a loss and several other close games while Oregon state had a goose egg for wins in the Pac-10 (I didn't check how close some of those losses were).  When you have a true outlier, the average just isn't a reflection of the data.

Great point regarding the differences in conference play for other major conferences.  I'm trying to improve my method for next year while not letting it take over my March every year...

 

Tinman

by Tinman17 on Mar 20, 2008 8:40 AM PDT up reply actions   0 recs

glad some others picked up
on this issue. billy packard kept complaining about how the ACC was shafted with only 4 teams considering how high its rpi was. the way i see it in the pac ten this year you remove the 2 games against oregon st, and that leaves 16 games against teams no worse than cal and washington (who are of nit / top 100 caliber). the rpi has a median ranked team, pac 10 is of course clearly 1st in that. The fact that the "conference rpi" seems to average the rpi, allows a team like oregon st and about a 300 rpi to drag down the rest of the conference.

howland picked up on this saying that we're 14-2 against the tourny field, where as unc is like 9-1 (which is impressive) but 6 less games against tournament teams.

by stephons on Mar 20, 2008 8:44 AM PDT reply actions   0 recs

Picture this...
90% of the pac ten made a tournament... Whether it be the big dance, or the NIT isn't the point... Has any other conference had 90% of their conference make a tournament before?  I can't recall one; but I admit, I'm a little green when it comes to this sort of thing.

by Bruin Gold on Mar 20, 2008 12:13 PM PDT reply actions   0 recs

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