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Revisiting The AP Poll's Behavior Towards Michigan

By LSAClassOf2000 — March 12th, 2013 at 11:51 AM — 2 comments
Filed under:
  • basketball
  • statistics and polls

REVISITING AP POLL BEHAVIOR: HOW MICHIGAN FARED             

We’re quite used to following the polls week after week around here, but now that it has been about two months since I last did this and the regular season has come to an end, I thought it might be of some interest to revisit some of the trends in the AP poll voting.

SUMMARY TABLE:

 

TOTAL VOTES

1233

AVERAGE RANK (ALL VOTES)

3.973

MEDIAN

3

MODE

2

STD. DEV.

2.221

VARIANCE

4.933

HIGHEST VOTE

1

LOWEST VOTE

17

 

Even though we are #6 in the AP Poll right now, you can see from the summary statistics that we averaged higher in individual voting throughout the season, and that a good portion of those votes fell within a relatively narrow range of values. That would tend to speak to our performance being seen as extremely good overall, if nothing else, at least by the voters in the poll.

You will note from the graph of average rankings below that we reached our zenith in the ranking (#1) in the Week 13 poll on January 28th. At that point, we were 19-1, coming off the win against Illinois in Champaign.  After this, of course, we went 6-5 for the remainder of the season, and you can see the steady decline save for a spike at Week 17, which was the February 25thpoll. At this point, we were 23-4 and coming off wins against Illinois and Penn State at Crisler. I was working visually off of the schedule to compile this (so hopefully the record week-to-week is accurate), but it should show give you an idea of the sensitivity of the poll’s results to our performance.

 

AP POLL WEEK

WON

LOST

CHANGE IN AVG.FROM PREVIOUS WEEK

1

Preseason

0

2

1

0

0.26

3

3

0

0.94

4

5

0

0.51

5

7

0

0.71

6

9

0

0.01

7

11

0

1.18

8

12

0

0.12

9

13

0

-0.06

10

15

0

0.09

11

16

1

-2.12

12

18

1

1.91

13

19

1

1.10

14

20

2

-1.86

15

21

3

-0.95

16

22

4

-2.52

17

23

4

2.26

18

24

5

-2.63

19

25

6

-0.16

 

Not including the Preseason, of course, the remaining 18 weeks of polling saw 11 weeks where we experienced in upward movement in our average and 7 weeks of a downward turn. What is interesting here, of course, is that the average movement of, well, the average in the weeks of upward movement was 0.83, and the average downward turn was -1.47. I only did this calculation for Michigan, but it would be interesting to do the same analysis for other teams.

MORE DATA AND STUFF:

Here is what the total votes per rank looked like for us in the regular season -

 photo APBallotsTotalVotesRSFinal_zpsc001b40a.jpg

It is interesting to see it this way - following the weeks in isolation, I don't think we get the sense of what this trend actually looks like, but it looks pretty good as the largest numbers of votes over the course of the season went to 2nd and 3rd place in the poll (if it were a running history and not a snapshot).

 

 photo APBallotsPctOfTotalVotes_zpsc41f2565.jpg

 

Here are the percentages of the grand total by poll ranking. As you'll see, nearly half of the votes cast for Michigan in 19 polls were for 2nd and 3rd place. Really, the same essential information as above, but a slightly different way to see how we stacked up across all the polls.

 

 

 photo APBallotsAvgRatingRSFinal_zps2a44f662.jpg

Here's the running average ranking for each week. Sadly, you can see February on this one, but considering that we maintained an overall average rank in the raw voting totals of 3.97, it doesn't seem as bad as it might look here.

Here are the weekly distributions in isolation. Apologies for the somewhat varied scaling on these.

 

 photo APBallotsWeek1_zps0042b329.jpg  photo APBallotsWeek2_zps0474bd0f.jpg  photo APBallotsWeek3_zpsf5af7e58.jpg  photo APBallotsWeek4_zpsdebad89c.jpg  photo APBallotsWeek5_zps3dc483bb.jpg  photo APBallotsWeek6_zpsa8efe2d3.jpg  photo APBallotsWeek7_zpsf26ebef0.jpg  photo APBallotsWeek8_zpsc67d9777.jpg  photo APBallotsWeek9_zpse77735fd.jpg  photo APBallotsWeek10_zps5c875337.jpg  photo APBallotsWeek11_zps8e918cb4.jpg  photo APBallotsWeek12_zpsfcac7073.jpg  photo APBallotsWeek13_zps06f3329a.jpg  photo APBallotsWeek14_zps828d8281.jpg  photo APBallotsWeek15_zps1798bf6e.jpg  photo APBallotsWeek16_zpsf85e5723.jpg  photo APBallotsWeek17_zps5e598585.jpg  photo APBallotsWeek18_zpse3e6ab12.jpg  photo APBallotsWeek19_zps5fa95ca3.jpg

Exhausting, I know.

IN SUMMARY:

As I mentioned, some of this has been seen on the blog before, but in isolation, like the weekly poll itself. The idea here was to take the whole body of data and see how Michigan fared in the entirety of the AP voting, and hopefully you agree that we did not do too badly for ourselves at all when looking at it like that.

 

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March 12th, 2013 at 12:53 PM | Excellent diary, but, you forgot the cat (Score:2 Normal)
MadMonkey
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Joined: 04/08/2010
MGoPoints: 1683

Your opinion has no value.

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March 12th, 2013 at 3:20 PM | Shouldn't you be focusing on (Score:2 Normal)
CooperLily21
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Joined: 03/05/2013
MGoPoints: 465

Shouldn't you be focusing on your moderator duties?

(Great information, by the way)

 

 
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