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# Thread: Equation for Strength of Tournament discussion

1. ## Equation for Strength of Tournament discussion

As I said, the equation is simple, we just need a dollar value for the points that a person invests in the tournament.

If you had to guess, what is the conversion of 140 points to dollars? Looking at your redeem cost (580=\$1 Carbon) that would make an opt-in cost about \$.25.

So, the equation would probably be total winnings/(total opt-ins*.25)=ROI

I would probably suggest setting a minimum number of tournaments to qualify. Say 5/week or 20 tournaments to qualify for the monthly leaderboard?

2. Originally Posted by gefishy So, the equation would probably be total winnings/(total opt-ins*.25)=ROI
This equation would be for each user.

3. Well, lets take a look at the Strength of Schedule equation.

Here is the NCAA definition of the Strength of Schedule Formula:

S.O.S. is broken down into these four sub-parts:

* The cumulative won/loss records of a team’s opponents, with only wins over other Division I-A teams being counted. All losses are counted. This sub part carries a weight of 66 2/3 percent.

* The cumulative won/loss records of the opponents’ opponents. This sub part carries a weight of 33 1/3 percent.
Add A+B and rank the results in ascending order from No. 1- No.117, (the current number of teams being used in the BCS calculations).

* Take that rank and divide by 25. The end result becomes the figure used in a team’s strength of schedule. For example, the team that plays the No. 1-rated schedule each week receives a value of 0.04 (1/25), the No. 25 team gets a value of 1 (25/25), and the No. 35 team gets a value of 1.40 (35/25).

Taken from Rigging the BCS and why strength of schedule is Complete B.S. « The Pole&#039;s Position

This would need to be tweaked for our needs... I'll need a minute to do that. I'm not that smart to just wing it 4. Im thinking the formula would be something like:

For our stats:

- Get the AVG % of all the players ITM %
- Take the total # of players (Not just opted in, the total #)
- What place did you finish at

Lets assume the ITM % is 30% and there are 35 players and you got 8th place

A quick idea for the formula would be:

Players * ITM% * Your Place = Your Strength (Lowest is better)

35 * 30 * 8 = 84 Strength Of Tournament

ITM% = 40% how would that change it

35 * 40 * 8 = 112 Strength of Tournament

Let say theres only 30 players in and 30% ITM

30 * 30% * 8 = 72 Strength of Tournament

So ya, if you muck up and take 25th place.. lets see

30 * 30% * 25th = 225 Strength of Tournament

5. ## Equation for Strength of Tournament discussion Originally Posted by Zab Im thinking the formula would be something like:

For our stats:

- Get the AVG % of all the players ITM %
- Take the total # of players (Not just opted in, the total #)
- What place did you finish at

Lets assume the ITM % is 30% and there are 35 players and you got 8th place

A quick idea for the formula would be:

Players * ITM% * Your Place = Your Strength (Lowest is better)

35 * 30 * 8 = 84 Strength Of Tournament

ITM% = 40% how would that change it

35 * 40 * 8 = 112 Strength of Tournament

Let say theres only 30 players in and 30% ITM

30 * 30% * 8 = 72 Strength of Tournament

So ya, if you muck up and take 25th place.. lets see

30 * 30% * 25th = 225 Strength of Tournament
sounds good.

6. Fishy check my math here

7. Originally Posted by Zab Im thinking the formula would be something like:

For our stats:

- Get the AVG % of all the players ITM %
- Take the total # of players (Not just opted in, the total #)
- What place did you finish at

Lets assume the ITM % is 30% and there are 35 players and you got 8th place

A quick idea for the formula would be:

Players * ITM% * Your Place = Your Strength (Lowest is better)

35 * 30 * 8 = 84 Strength Of Tournament

ITM% = 40% how would that change it

35 * 40 * 8 = 112 Strength of Tournament
If you are saying that lower is better, this scenario doesn't work. If 40% are ITM the tournament should be stronger not weaker. You show a 40% ITM tournament with a 112 Strenght of Tournament and a 30% ITM with a 84 making that appear stronger. Maybe you meant to say that higher is better? Originally Posted by Zab So ya, if you muck up and take 25th place.. lets see

30 * 30% * 25th = 225 Strength of Tournament
I'm not sure why the place that you finish should affect the strength of tournament. The strength of tournament should be something that is set at the start of the tournament (when all players have entered) and then it shouldn't change. Your final placement should only affect your contribution to the Strength of Tournament for the next tournament. Am I missing something?

8. Despite my criticism, I think this equation is the right idea. Keep the equation simple:

What if we make the strength of tournament a simple equation similar to that used to determine ITM for individual players. Lets expand the equation to include all players take (total number of tournaments ITM/total number of tournaments entered) Now you have a % of total ITM for all players. You can either express the strength of tournament like this:

Tournament ID XXXX Strength of Tournament: XX% (that ITM number) - This is probably the easiest way to do it (higher % = stronger tournament)

Or you can determine some sort of a numerical value to assign current % levels:

20-30% = strength level of 5
30-40% = strength level of 10

but I think that simply confuses things.

The best part about using total ITM to determine Strength of Tournament is that this number can also be used in an equation to determine ranks of players!

Make sense?

9. ## Equation for Strength of Tournament discussion Originally Posted by gefishy If you are saying that lower is better, this scenario doesn't work. If 40% are ITM the tournament should be stronger not weaker. You show a 40% ITM tournament with a 112 Strenght of Tournament and a 30% ITM with a 84 making that appear stronger. Maybe you meant to say that higher is better?
I was thinking it would be strength of the tournament (The field you are playing against) vs how you finish = your rating

So ya, we're on the same page.

And yes my Math is off.. lemme see

A quick idea for the formula would be:

Players * ITM% * Your Place = Your Strength (Lowest is better)

35 * 30 * 8 = 84 Strength Of Tournament

ITM% = 40% how would that change it

35 * 40 * 8 = 112 Strength of Tournament

I could do

Players in Tourneys + ITM % + Where you placed (Backwards) so if theres 30 people in, then 1st place = 30 pts, 2nd place = 29 pts etc

10. ## Equation for Strength of Tournament discussion Originally Posted by Zab I was thinking it would be strength of the tournament (The field you are playing against) vs how you finish = your rating

So ya, we're on the same page.

And yes my Math is off.. lemme see

A quick idea for the formula would be:

Players * ITM% * Your Place = Your Strength (Lowest is better)

35 * 30 * 8 = 84 Strength Of Tournament

ITM% = 40% how would that change it

35 * 40 * 8 = 112 Strength of Tournament

I could do

Players in Tourneys + ITM % + Where you placed (Backwards) so if theres 30 people in, then 1st place = 30 pts, 2nd place = 29 pts etc
OK,

I think I may still be confused here. What exactly would that final Strength of Tournament number mean?

If I am reading it correctly, when you say "Strength of Tournament" you mean a number of points assigned to your finishing spot relative to the average quality-of-play of the rest of the field?

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