Saturday, August 12, 2006

the 1998 Season

Versions / 1998 / 1999 / 2000 / 2001 / 2002 / 2003 / 2004 / 2005 / 2006 / 2007 / Conclusions

Version A was used in 1998 - below is what the final rankings looked like.

Version A: 1998
RankTeamAPCoachPoll AvgA&HJSNYTComp.AvgSoSSoS RankLossTOTAL
1Tennessee1111221.67200.8003.47
2Florida State22222.2511.7540.1614.91
3Kansas State4444143491.9619.96
4Ohio State3336.75635.25281.12110.37
5UCLA655.5345.254.0880.32110.90
6Texas A&M898.5654550.20215.70
7Arizona565.55997.67582.32116.49
8Florida777108119.67321.28219.95
9Wisconsin988.5910109.67612.44121.61
10Tulane10101081416.512.83963.84026.67
11Nebraska14161511713.510.5140.56329.06
12Virginia131212.513181716431.72232.22
13Arkansas111111171221.7516.92592.36232.28
14Georgia Tech12141316201216441.76232.76
15Syracuse181717.517.2516713.42220.88334.80

Tennessee, Florida State. By a big margin. So let's look at what the rankings would be if Version B had been used. (Remember, the only change between Versions A & B was that B added in a lot more computers...) *A quick note: all of the rankings in the first column are the teams' official BCS rankings from that year, not the rankings from each version's results.

Version B: 1998
RankTeamAPCoachPoll AvgComp.AvgSoSSoS RankLossTOTAL
1Tennessee1111.71200.803.51
2Florida State2221.4340.1614.59
4Ohio State3334.57281.1219.69
3Kansas State4443.43491.96110.39
5UCLA655.54.4380.32111.25
6Texas A&M898.55.4350.2216.13
7Arizona565.57.71582.32116.53
8Florida7777.43321.28217.71
9Wisconsin988.59.57612.44121.51
11Nebraska14161510.14140.56328.70
13Arkansas11111114592.36229.36
10Tulane10101015.57963.84029.41
14Georgia Tech12141314.29441.76231.05
12Virginia131212.514.86431.72231.08
15Syracuse181717.515.29220.88336.67

No change in #1 or #2, and they're still way ahead of #3, which switches to Ohio State in this Version.

Let's take a look at the first ranking I had to project, Version C in 1998. Columns in light green are ranges of mathematical possibilities, in this case the lowest & highest computer averages as well as the highest and lowest quality win components.

Version C: 1998
RankTeamPoll AvgLoCompHiCompSoS PtsLossLo-SubHi-SubHi-QWLo-QWLo-TotHi-Tot
1Tennessee11.501.670.8003.33.47-1.4-1.31.902.17
2Florida State21.6720.1614.835.16-2.4-2.22.432.96
5UCLA5.53.334.170.32110.1510.99-1.0-0.99.1510.09
3Kansas State43.3341.96110.2910.96-0.5-0.39.7910.66
4Ohio State35.336.171.12110.4511.2910.4511.29
6Texas A&M8.55.175.670.20215.8716.37-1.8-1.414.0714.97
7Arizona5.57.177.832.32115.9916.6515.9916.65
8Florida77.838.51.28218.1118.7818.1118.78
9Wisconsin8.58.83102.44120.7721.9420.7721.94
10Tulane1013.3315.333.84027.1729.1727.1729.17
13Arkansas1113.3314.332.36228.6929.6928.6929.69
11Nebraska1510.512.50.56329.0631.0629.0631.06
12Virginia12.513.8315.331.72230.0531.5530.0531.55
14Georgia Tech1315.3317.171.76232.0933.93-0.4-0.331.6933.63

As you can see, Tennessee & Florida State are still way ahead, but now they're probably followed by UCLA at #3 because of the Bruins high quality win deduction.

Just to help you get a feel for the math, let's look at an example. #1 Tennessee's lowest possible computer average was 1.50, and their highest was 1.67. The low number is calculated by assuming that Wolfe had them ranked #1, in which case their computer rankings would have been 1,1,1,1,2,2,2,2. Version C drops the highest and lowest, (a 1 and a 2) and averages the other 6 (1+1+1+2+2+2=9, 9/6) to get 1.5.

To calculate the high average, we don't need to plug in a number - all we have to do is assume that Wolfe's ranking was the highest one they received, whether it was a 3, a 5 or a 19. We can assume that because we're just going to eliminate that high number as well as their low, in this case a 1, as well. So after eliminating their 1, we're left with 1,1,2,2,2,2, which added together is 10, divided by 6 is 1.67. Get it? (I hope so, because these projected rankings require a lot of it.)

So because Tennessee's highest possible total is 2.17, while Florida State's lowest possible total is 2.43, (remember, the lower the number, the higher the ranking), there's no mathematical way that Florida State could be ranked higher than Tennessee, no matter what the missing rankings might have been. At the same time, Florida State's high is 2.96 and UCLA's low is 9.15, meaning that UCLA could not ever have a higher total than Florida State, giving the #2 spot to Florida State. So Version C would have definitely pitted Tennessee vs Florida State in the National Championship game.

Let's look at Version D, which is also a projection.

Version D: 1998
RankTeamPoll AvgLo CompHi CompSoS PtsLossLo-SubHi-SubHi-QWLo-QWLo-TotHi-Tot
1Tennessee11.51.670.8003.33.47-0.4-0.32.903.17
2Florida State21.331.670.1614.494.83-0.9-0.73.594.13
4Ohio State34.335.51.1219.4510.629.4510.62
5UCLA5.53.334.50.32110.1511.32-0.5-0.49.6510.92
3Kansas State43.3341.96110.2910.96-0.10.010.1910.96
6Texas A&M8.5450.20214.7015.70-0.9-0.613.8015.10
7Arizona5.56.337.672.32115.1516.4915.1516.49
8Florida76.838.51.28217.1118.7817.1118.78
9Wisconsin8.57.1792.44119.1120.9419.1120.94
10Tulane1011.8315.53.84025.6729.3425.6729.34
12Virginia12.510.8313.671.72227.0529.8927.0529.89
14Georgia Tech1310.6713.831.76227.4330.59-0.10.027.3330.59
13Arkansas1112.1715.672.36227.5331.0327.5331.03
11Nebraska1510.3313.330.56328.8931.8928.8931.89

Remember, one of the minor changes from Version C to D was that one computer was dropped, resulting in a formula that only drops the lowest ranking instead of the highest & lowest. It hasn't resulted in anything big here - still Tennessee & Florida State.

Finally, let's look at Version E, the latest incarnation.

Version E: 1998
RankTeamAPVotesAP%CoachVotesCoach%HiComp%LoComp%Hi-TotLo-Tot
1Tennessee117501.000115480.99870.9800.9700.99290.9896
2Florida State216710.9549214640.94450.9800.9600.95980.9531
4Ohio State314760.8434413370.90650.8200.7700.88060.8640
3Kansas State416020.9154314050.86260.9000.8600.86870.8553
5UCLA613980.7989512530.80840.9100.8600.83910.8224
7Arizona513100.7486910920.80260.7600.7200.78980.7765
6Texas A&M814120.8069612440.70450.8500.8200.76770.7577
8Florida713370.7640711560.74580.7400.7000.74990.7366
9Wisconsin911760.6720811030.71160.7200.6500.70120.6779
10Tulane1010670.6097109640.62190.5400.4200.59050.5505
13Arkansas118150.4657165900.52900.4900.4300.52250.5025
12Virginia138170.4669128180.52770.5700.4800.52150.4915
14Georgia Tech129600.5486118200.48320.5300.4300.50420.4709
11Nebraska148740.4994147490.38060.5800.4600.47550.4355
15Syracuse186100.3486175380.34710.2100.1100.30190.2686

In Version E, the rankings switched from "Low Total Wins" to "Highest Percentage Wins", which is why we see the big visual change here. With 6 computers providing rankings, the formula drops highest & lowest, then adds the other 4 together. Dropping the highest and lowest serves as a buffer, making the range of possibile computer averages quite low for each team.

As was the case with all the other Versions, Tennessee & Florida State are at the top. There wasn't much controversy that year, and there isn't between the different versions either.

Onto 1999!

Versions home < Top > 1999

No comments: