Author Topic: FORMULA FORMULA ON THE WALL  (Read 992 times)

Andrew

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FORMULA FORMULA ON THE WALL
« on: January 07, 2011, 01:32:21 AM »
Please answer , what I'm sure is an ice age topic , how do the formulas work and what will be the best or most common formula.
I want a formula that can give scores from 4 to 80 players depending on the night , we are a very large club in South Africa and not all of the same players plays everyday non the less would i like to award points as the year goes along.

Your help and patience be greatly appreciated. ;D

Magic_fubu

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Re: FORMULA FORMULA ON THE WALL
« Reply #1 on: January 07, 2011, 10:25:44 AM »
A very basic formula, Andrew, would be "n-r+1", which awards points based upon the number of people who show(n), and their rank (r). However, that could lead to volatile changes each week, so you may want to look at some others, which I cannot think of off hand.
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Corey Cooper

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Re: FORMULA FORMULA ON THE WALL
« Reply #2 on: January 07, 2011, 11:04:30 AM »
A simple variation on this would be:

(n - r + 1) * log(n)

This would give more weight the larger the tournaments.  For example, for a tournament of 8 players, points would be awarded as:

1st: 16.64
2nd: 14.56
3rd: 12.48
4th: 10.40
5th: 8.32
6th: 6.24
7th: 4.16
8th: 2.08


For a tournament of 50 players, points would be awarded as:

 1st: 195.60
 2nd: 191.69
 3rd: 187.78
 4th: 183.87
 5th: 179.95
 6th: 176.04
 7th: 172.13
 8th: 168.22
 9th: 164.30
10th: 160.39
11th: 156.48
12th: 152.57
13th: 148.66
14th: 144.74
15th: 140.83
16th: 136.92
17th: 133.01
18th: 129.10
19th: 125.18
20th: 121.27
21st: 117.36
22nd: 113.45
23rd: 109.54
24th: 105.62
25th: 101.71
26th: 97.80
27th: 93.89
28th: 89.98
29th: 86.06
30th: 82.15
31st: 78.24
32nd: 74.33
33rd: 70.42
34th: 66.50
35th: 62.59
36th: 58.68
37th: 54.77
38th: 50.86
39th: 46.94
40th: 43.03
41st: 39.12
42nd: 35.21
43rd: 31.30
44th: 27.38
45th: 23.47
46th: 19.56
47th: 15.65
48th: 11.74
49th: 7.82
50th: 3.91


To increase the amount of points awarded AND the distance between ranks, increase the log() argument.  Examples:

(n - r + 1) * log(n * 2)

or

(n - r + 1) * log(n * 10)

or

(n - r + 1) * log(n * 100)

Andrew

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Re: FORMULA FORMULA ON THE WALL
« Reply #3 on: January 08, 2011, 04:14:06 AM »
Thanks a million i am sure that will be very helpfull. Now if I can only sort out my payment method to purchase TD I'll be on my way.,pay pal does not except my debit cards,time to get a credit card{o ' how I hate Africa}!!!!!   :-\ ;D ;D