BeardedVol
Pigeon Fancier
- Joined
- Nov 6, 2012
- Messages
- 17,357
- Likes
- 29,906
The Football Power Index (FPI) is a measure of team strength that is meant to be the best predictor of a team's performance going forward for the rest of the season. FPI represents how many points above or below average a team is. Projected results are based on 10,000 simulations of the rest of the season using FPI, results to date, and the remaining schedule. Ratings and projections update daily.
The FPI and predictions will change with each game played. It is not static - aka like my free throw example where probability of success for next free throw increases or decreases based on result from last free throw. If Tennessee were to be undefeated after the UGA game, you can bet the projection for South Carolina would be higher than 75% - but according to all of you it would be 42% no matter what happens in the first 5 games.
:rock:This! Plus, let's replace UT as the primary integer with bammer. Is that going to garner the same expostulation? Nope.Well Mr. Engineer, sir, while it appears you have attended a stats 201 class, you didn't read my post. That method skews the numbers by not fully representing the talent differential and the plethora of other variables. So no, there isn't a valid way to calculate that probability given only those numbers, but your probability makes the likelihood of use winning those games look much smaller than it is in reality. Which was my point, not looking to get in to a measuring contest.
Typically when you use probability like that it's for x where x is done in a series and expected to yield Y%. Applying that to this doesn't transition well because they are unrelated events. I see why your doing but your method skews the probability a good bit.
This is how betters go broke. "Didn't seem right" is correct. What the fan forgets is that the proability for a series changes drastically once each event completes. Suppose you beat KY then calculate the probiouty if beating both. The probability of beating both is then simply the proability of beating Vandy. Looks more like you expect then.While mathematically you are correct (multiplying probability of each individual events happening and getting probability for the all three events), I would argue these events would need a better predictive tool to guess probability of winning all 3 of GT, GA and USCe and/or Kentucky and Vanderbilt.
Saying that there is a less than 50% chance we beat Kentucky and Vandy both is not a good predicting tool. I would take those odds and bet against it any day.
Absolutely none of what you said changes the fact that the probability of independent events is computed as P(A and B)=P(A)*P(B). Whether it's the probability of flipping a coin and it landing on heads 3 times in a row, or rolling dice and coming up 6 100 times in a row, or the liklehood of making 20 free throws in a row, it's all computed using the same equation.
You can argue that the FPI projections are wrong, but you can't argue the way they are used when determining the probability of winning multiple games based off of the FPI projections.
Thoughts?
Georgia Tech (W) 68.5%
Indiana State (W) 98.9%
Florida (L) 37.9%
Massachusetts (W) 97.4%
Georgia (W) 51.3%
South Carolina (W) 75.7%
Alabama (L) 13.5%
Kentucky (W) 60.0%
Southern Mississippi (W) 96.1%
Missouri (W) 64.3%
LSU (L) 40.5%
Vanderbilt (W) 81.1%
These are not independent events. ESPN's analysis of how they calculate this is clear on that. As the season progresses the result of a game(s) will influence the results which follow - thus they are conditional.
The probability of both events occurring is the product of the 2 probabilities.
Just think about it like shooting free throws. You could be a 75% shooter from the free throw line, which is good. however, if you shoot 3 free throws, you are likely to miss 1 free throw, even though you are heavily favored in each individual shot.
0.75*0.75*0.75 = 0.42, or 42% to make 3 free throws in a row.
The 75℅ FT shooter example assumes a finite set of practiced skills and the same conditions each time. There are variables but by definition, the basket is always in the same place. Applying that same statistics law to two football games doesn't work nearly as well. The same as giving odds at this time of year for the games.
So you're counting SC and Vandy as gimmies? Me too.
Lol...you really should educate yourself on independent and dependent events in probability before spouting such nonsense.
Dependent events in probability affect the probability of other events and it's expressed in the equation P(A and B) = P(A)*P(B|A). If you have a jar with 12 marbles in it, 4 orange, 4 white, and 4 grey, the probability of you drawing an orange white and grey marble in order is 4/12*4/11*4/10= 64/1320=8/165=4.8% chance of drawing orange, white, and grey marbles out in succession. Dependent event, as the odds are modified with each successive drawing of a marble.
FPI projections may change for individual games as they are recomputed throughout the season, but the sheer act of playing games does not increase or decrease the chances of winning future games, as the games themselves are independent events. The same equation is used, regardless of the numbers that you plug into it; P (A and B)= P(A)*P(B)
Thanks for making me feel like I'm back at my student work-study in the math lab.:good!:
they re calculate the FPI DURING the games, as they're played.
what i see is 3 losses and 2 toss ups. which is about how anyone would/should look at it in April. making 8-4/7-5 about where it's predicted.
The probability of both events occurring is the product of the 2 probabilities.
Just think about it like shooting free throws. You could be a 75% shooter from the free throw line, which is good. however, if you shoot 3 free throws, you are likely to miss 1 free throw, even though you are heavily favored in each individual shot.
0.75*0.75*0.75 = 0.42, or 42% to make 3 free throws in a row.
I think your reasoning is flawed. They are two independent events. Not like shooting free throws, more like flipping a coin and rolling dice and thinking that rolling the dice influences whether you get a heads or tails.
I said conditional - conditional is when the outcome of A impacts B based. ESPN makes it clear that the FPI is recalculated weekly and that the results from the prior week impact the FPI as the season progresses. So they are in effect saying that the outcome of games played prior to a game impact the projected result of that game.
I suspect when they run the process that creates the percentages they are using a algorithm that takes into account what the other teams are projected to do week by week - thus giving them that first basis to compare.
When the South Carolina game is played, if you are using the FPI as a predictor the percentage the day before the game will be the chance that Tennessee wins the game. It won't be the percentage you get right now by multiplying the others together.
You are trying to use a simple example to prove your point but the FPI calculation is not a simple roll the dice, make a free throw statistic.
I said conditional - conditional is when the outcome of A impacts B based. ESPN makes it clear that the FPI is recalculated weekly and that the results from the prior week impact the FPI as the season progresses. So they are in effect saying that the outcome of games played prior to a game impact the projected result of that game.
...
You are trying to use a simple example to prove your point but the FPI calculation is not a simple roll the dice, make a free throw statistic.
The probability of both events occurring is the product of the 2 probabilities.
Just think about it like shooting free throws. You could be a 75% shooter from the free throw line, which is good. however, if you shoot 3 free throws, you are likely to miss 1 free throw, even though you are heavily favored in each individual shot.
0.75*0.75*0.75 = 0.42, or 42% to make 3 free throws in a row.