Anybody remember this conversation from almost two weeks ago?

Anyways, go ahead and call me a monster truck because I'm about to go "Grave Digger" on this dead horse..

Ever since our points adjustment system was implemented last November, I've pretty much been in love with it. It was never intended to penalize divisions with low numbers, but rather compensate for the increased or decreased difficulty in scoring points based on how many drivers were racing. However, if you go through the recent resuls, you'll see that the winner of the division with the most drivers is awarded Prize A. That brings into question whether the ".03" multiplier that we've been using is too high of a multiplier. Perhaps we should use a ".02" multiplier instead? Or how about meet in the middle at ".025"? But whatever multiplier we use, it'll only be an estimation and can never be proven to be exactly correct. It's also based on an average grid size of 10 drivers, which is probably not an ideal factor to base a points adjustment system on since the average number of drivers can fluctuate week to week or month to month.

Therefore, I set out to to see if we could find another approach. One that doesn't give bonuses or deductions based on the number of drivers on the track, but rather predetermines the value of of each finishing position based on grid size. Also one that doesn't make any assumptions on what our average grid size is. Everyone knows that the maximum points that we can score in a race is 16 points. But if 1st place always gets 16 points no matter how many drivers are competing, why does the number of points last place gets change so radically depending on how many drivers raced? For example, if a driver finished last in a field of 15, he only gets 2 points. However, if a driver finishes last in a field of 7, he gets quadruple the amount with 8 points?? That's doesn't seem right..

So what if we took the maximum value of points that can be earned in each race (16) and then divided it into equal portions based on the number of drivers in the race. Once you find what that increment is, you award the usual 16 points to 1st place, then you award one increment less for each position down the finishing order. The resulting math looks like this:

y = number of drivers in the race

x = 16/y

z = number of positions behind the 1st place

**16 - zx = points awarded**

Here's the above formula decribed in detail:

**Points awarded when 16 drivers in the race**

y = 16

x = 16/y

x = 16/16

x = 1

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 15

3rd = 16 - 2x = 14

4th = 16 - 3x = 13

5th = 16 - 4x = 12

6th = 16 - 5x = 11

7th = 16 - 6x = 10

8th = 16 - 7x = 9

9th = 16 - 8x = 8

10th = 16 - 9x = 7

11th = 16 - 10x = 6

12th = 16 - 11x = 5

13th = 16 - 12x = 4

14th = 16 - 13x = 3

15th = 16 - 14x = 2

16th = 16 - 15x = 1 (last place always wins the value of x)

**Points awarded when 15 drivers in the race**

y = 15

x = 16/y

x = 16/15

x = 1.0666666

z = number of positions behind 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.933334

3rd = 16 - 2x = 13.866668

4th = 16 - 3x = 12.800002

5th = 16 - 4x = 11.733336

6th = 16 - 5x = 10.66667

7th = 16 - 6x = 9.600004

8th = 16 - 7x = 8.5333374

9th = 16 - 8x = 7.4666708

10th = 16 - 9x = 6.4000042

11th = 16 - 10x = 5.3333376

12th = 16 - 11x = 4.266671

13th = 16 - 12x = 3.2000044

14th = 16 - 13x = 2.1333378

15th = 16 - 14x = 1.0666666 (last place always wins the value of x)

**Points awarded when 14 drivers in the race**

y = 14

x = 16/y

x = 16/14

x = 1.1428571

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.857143

3rd = 16 - 2x = 13.714286

4th = 16 - 3x = 12.571429

5th = 16 - 4x = 11.428572

6th = 16 - 5x = 10.285715

7th = 16 - 6x = 9.142858

8th = 16 - 7x = 8.000001

9th = 16 - 8x = 6.857144

10th = 16 - 9x = 5.714287

11th = 16 - 10x = 4.571429

12th = 16 - 11x = 3.428572

13th = 16 - 12x = 2.285715

14th = 16 - 13x = 1.1428571 (last place always wins the value of x)

**Points awarded when 13 drivers in the race**

y = 13

x = 16/y

x = 16/13

x = 1.2307692

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.769231

3rd = 16 - 2x = 13.538462

4th = 16 - 3x = 12.307693

5th = 16 - 4x = 11.076924

6th = 16 - 5x = 9.846154

7th = 16 - 6x = 8.615385

8th = 16 - 7x = 7.384616

9th = 16 - 8x = 6.153847

10th = 16 - 9x = 4.923078

11th = 16 - 10x = 3.692308

12th = 16 - 11x = 2.461539

13th = 16 - 12x = 1.2307692 (last place always wins the value of x)

**Points awarded when 12 drivers in the race**

y = 12

x = 16/y

x = 16/12

x = 1.3333333

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.666667

3rd = 16 - 2x = 13.333334

4th = 16 - 3x = 12.000001

5th = 16 - 4x = 10.666667

6th = 16 - 5x = 9.333334

7th = 16 - 6x = 8.000001

8th = 16 - 7x = 6.666667

9th = 16 - 8x = 5.333334

10th = 16 - 9x = 4.000001

11th = 16 - 10x = 2.666667

12th = 16 - 11x = 1.3333333 (last place always wins the value of x)

**Points awarded when 11 drivers in the race**

y = 11

x = 16/y

x = 16/11

x = 1.4545454

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.545455

3rd = 16 - 2x = 13.09091

4th = 16 - 3x = 11.636364

5th = 16 - 4x = 10.181819

6th = 16 - 5x = 8.727273

7th = 16 - 6x = 7.272728

8th = 16 - 7x = 5.818183

9th = 16 - 8x = 4.363637

10th = 16 - 9x = 2.909092

11th = 16 - 10x = 1.4545454 (last place always wins the value of x)

**Points awarded when 10 drivers in the race**

y = 10

x = 16/y

x = 16/10

x = 1.6

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.4

3rd = 16 - 2x = 12.8

4th = 16 - 3x = 11.2

5th = 16 - 4x = 9.6

6th = 16 - 5x = 8

7th = 16 - 6x = 6.4

8th = 16 - 7x = 4.8

9th = 16 - 8x = 3.2

10th = 16 - 9x = 1.6 (last place always wins the value of x)

**Points awarded when 9 drivers in the race**

y = 9

x = 16/y

x = 16/9

x = 1.7777777

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14.222223

3rd = 16 - 2x = 12.444445

4th = 16 - 3x = 10.666667

5th = 16 - 4x = 8.88889

6th = 16 - 5x = 7.111112

7th = 16 - 6x = 5.333334

8th = 16 - 7x = 3.555557

9th = 16 - 8x = 1.7777777 (last place always wins the value of x)

**Points awarded when 8 drivers in the race**

y = 8

x = 16/y

x = 16/8

x = 2

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 14

3rd = 16 - 2x = 12

4th = 16 - 3x = 10

5th = 16 - 4x = 8

6th = 16 - 5x = 6

7th = 16 - 6x = 4

8th = 16 - 7x = 2 (last place always wins the value of x)

**Points awarded when 7 drivers in the race**

y = 7

x = 16/y

x = 16/7

x = 2.2857142

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 13.714286

3rd = 16 - 2x = 11.428572

4th = 16 - 3x = 9.142858

5th = 16 - 4x = 6.857144

6th = 16 - 5x = 4.571429

7th = 16 - 6x = 2.2857142 (last place always wins the value of x)

**Points awarded when 6 drivers in the race**

y = 6

x = 16/y

x = 16/6

x = 2.6666666

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 13.333334

3rd = 16 - 2x = 10.666667

4th = 16 - 3x = 8.000001

5th = 16 - 4x = 5.333334

6th = 16 - 5x = 2.6666666 (last place always wins the value of x)

**Points awarded when 5 drivers in the race**

y = 5

x = 16/y

x = 16/5

x = 3.2

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 12.8

3rd = 16 - 2x = 9.6

4th = 16 - 3x = 6.4

5th = 16 - 4x = 3.2 (last place always wins the value of x)

**Points awarded when 4 drivers in the race**

y = 4

x = 16/y

x = 16/4

x = 4

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 12

3rd = 16 - 2x = 8

4th = 16 - 3x = 4 (last place always wins the value of x)

**Points awarded when 3 drivers in the race**

y = 3

x = 16/y

x = 16/3

x = 5.3333333

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 10.666667

3rd = 16 - 2x = 5.3333333 (last place always wins the value of x)

**Points awarded when 2 drivers in the race**

y = 2

x = 16/y

x = 16/2

x = 8

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16

2nd = 16 - 1x = 8 (last place always wins the value of x)

**Points awarded when 1 drivers in the race** (as if we would ever had a 1-driver division )

y = 1

x = 16/y

x = 16/1

x = 16

z = number of positions behind the 1st place

16 - zx = points awarded

1st = 16 - 0x = 16 (last place always wins the value of x)

Using the charts provided above, here's a breakdown of how last week's division winners would have scored:

**martin20az**

Round 1 / Race 1: Finished 2nd out of 9 drivers, which equals 14.222223 points

Round 1 / Race 2: Finished 1st out of 9 drivers, which equals 16 points

Round 2 / Race 1: Finished 7th out of 9 drivers, which equals 5.333334 points

Round 2 / Race 2: Finished 2nd out of 9 drivers, which equals 14.222223 points

Round 3 / Race 1: Finished 3rd out of 9 drivers, which equals 12.444445 points

Round 3 / Race 2: Finished 1st out of 9 drivers, which equals 16 points

Subtotal 78.22 points + 1 Pole = **GRAND TOTAL 79.22 points**

**jlbowler**

Round 1 / Race 1: Finished 8th out of 9 drivers, which equals 3.555557 points

Round 1 / Race 2: Finished 1st out of 9 drivers, which equals 16 points

Round 2 / Race 1: Finished 2nd out of 9 drivers, which equals 14.222223 points

Round 2 / Race 2: Finished 1st out of 9 drivers, which equals 16 points

Round 3 / Race 1: Finished 2nd out of 9 drivers, which equals 14.222223

Round 3 / Race 2: Finished 6th out of 9 drivers, which equals 7.111112 points

Subtotal 71.11 points + 1 Pole = **GRAND TOTAL 72.11 points**

**The2ArmedMen**

Round 1 / Race 1: Finished 1st out of 15 drivers, which equals 16 points

Round 1 / Race 2: Finished 9th out of 15 drivers, which equals 7.4666708 points

Round 2 / Race 1: Finished 1st out of 13 drivers, which equals 16 points

Round 2 / Race 2: Finished 4th out of 13 drivers, which equals 12.307693 points

Round 3 / Race 1: Finished 1st out of 14 drivers, which equals 16 points

Round 3 / Race 2: Finished 4th out of 14 drivers, which equals 12.571429 points

Subtotal 80.35 +1 (Pole) +1 (Pole) +1 (Pole) +1 (Triple Crown) = **GRAND TOTAL 84.35 points**

**Bandit0627**

Round 1 / Race 1: Finished 1st out of 7 drivers, which equals 16 points

Round 1 / Race 2: Finished 3rd out of 7 drivers, which equals 11.428572 points

Round 2 / Race 1: Finished 1st out of 6 drivers, which equals 16 points

Round 2 / Race 2: Finished 3rd out of 6 drivers, which equals 10.666667 points

Round 3 / Race 1: Finished 1st out of 6 drivers, which equals 16

Round 3 / Race 2: Finished 3rd out of 6 drivers, which equals 10.666667 points

Subtotal 80.76 points + 1 (Pole) +1 (Pole) = **GRAND TOTAL 82.76 points**

**EAO-HarleyMan**

Round 1 / Race 1: Finished 2nd out of 7 drivers, which equals 13.714286 points

Round 1 / Race 2: Finished 1st out of 8 drivers, which equals 16 points

Round 2 / Race 1: Finished 2nd out of 8 drivers, which equals 14 points

Round 2 / Race 2: Finished 2nd out of 9 drivers, which equals 14.222223 points

Round 3 / Race 1: Finished 1st out of 9 drivers, which equals 16 points

Round 3 / Race 2: Finished 1st out of 9 drivers, which equals 16 points

Subtotal 89.94 points +1 (Pole) +1 (Pole) = **GRAND TOTAL 91.94 points**

And this is how this proposed adjustment system would compare to last Sunday's results:

**Division 1**

- martin20az --------
**87 points** (84.39 79.22 for **Prize B** prize purposes only)

**Division 2**

- jlbowler ----------
**82 points** (79.51 72.11 for prize purposes only)

**Division 3**

- The2ArmedMen ------
**86 points** (95.42 84.35 for **Prize A** **Prize B**)

**Division 4**

- Bandit0627 --------
**94 points** (83.68 82.76 for prize purposes only **Prize C**)

**Division 5**

- EAO-HarleyMan -----
**89 points** (84.26 91.94 for **Prize C** **Prize A**)

One tweak to this proposed system that I would be in favor of is to apply Bowler's system to the Pole Position and Triple Crown bonus points. In other words, if there are ten drivers competing for Pole Position, the winner of it gets exactly 1 point, but if say, there are only 7 drivers competing for pole, the winner would only get .91 points. On the flip side, if there are 15 drivers competing for pole, the winner would get 1.15 points etc.

Please let me know your thoughts on this new system to determine our prize winners. If you guys don't like it, I've developed a system based on what I call a "success ratio" or a "performance percentage". In short, it basically take the number of drivers that you finished in front of during the night and divides it by the number of drivers you finished behind during the night. Best ratio wins! However, I like the idea of determining our prize winners using points and not ratios. Plus, the ratios get scewed up by the pole bonuses.

Last edited: Aug 18, 2013