## How is the Basic Ranking calculated?

### General

The maximum number of points available to any given competitor is 100, and that is awarded to the first place competitor. Subsequent competitors recieve points based on a calculation of their position and the number of competitors taking part:

So a competition of 2 would look like:

Position | Calculation | Total |
---|---|---|

1 | 100 | 100 |

2 | (100 / 2) x (2 - 2 + 1) = (50 x 1) | 50 |

And a competition of 3 would look like:

Position | Calculation | Total |
---|---|---|

1 | 100 | 100 |

2 | (100 / 3) x (3 - 2 + 1) = (33.3 x 2) | 67 |

3 | (100 / 3) x (3 - 3 + 1) = (33.3 x 1) | 33 |

*Totals are rounded to make life easier.*

Once we have the individual scores for each competition, we add them up together, with the highest total score being the highest ranked player.

Player | Comp 1 | Comp 2 | Comp 3 | Total | Rank |
---|---|---|---|---|---|

A | 100 | 100 | 67 | 267 | 1 |

B | 67 | 33 | 100 | 200 | 2 |

C | 33 | 67 | 33 | 133 | 3 |

### Top *N*

Typically a competitor picks the top *N* competitions they've taken part in, with the *N* being set by the administrators of the ranking.
This can have a dramatic effect on the rankings, as if the value for *N* is too small, you'll end up with a lot of people sharing the same ranking:

*N* set to 1

Player | Comp 1 | Comp 2 | Comp 3 | Comp 4 | Comp 5 | Total | Rank |
---|---|---|---|---|---|---|---|

A | 100 | - | - | 100 | - | 100 | 1 |

B | 50 | 67 | 100 | 25 | 100 | 100 | 1 |

C | 75 | 100 | 33 | 50 | 67 | 100 | 1 |

D | 25 | 33 | 67 | 75 | 33 | 75 | 4 |

*Values in*best

**bold**represent the chosen*values.*

*N* set to 3

Player | Comp 1 | Comp 2 | Comp 3 | Comp 4 | Comp 5 | Total | Rank |
---|---|---|---|---|---|---|---|

A | 100 | - | - | 100 | - | 200 | 3 |

B | 50 | 67 | 100 | 25 | 100 | 267 | 1 |

C | 75 | 100 | 33 | 50 | 67 | 242 | 2 |

D | 25 | 33 | 67 | 75 | 33 | 175 | 4 |

A competitor should aim to (at the least) compete in *N* competitions to get the fairest ranking. In the above table, player A is ranked third
as they only had two competitions to pick from, given how well they did against B, C and D, it is likely they would have placed well enough in another
competition to be ranked higher.

The top *N* allows competitors to not have to compete in *every* competition, which can be useful if the competitions are spread over
a large area, or if they are ill/away for a period of time. It's advisable to always set *N* to being less than the total number of ranking
competitions over a year.

### Shared Ranking

If two (or more) competitors have the same points score at the end, they are allocated the same rank / position. The next competitor after will be given the position they would have had if there were no ties, for example:

Player | Score | Rank | |
---|---|---|---|

A | 100 | 1 | |

B | 100 | 1 | |

C | 75 | 3 | C is ranked 3rd, not 2nd. |

### Configurable Properties

These are the properties you can set if you choose to use this ranking method, and some suggested values.

#### Top *N*

This is the top *N* competitions which will count towards the ranking.

##### Allowed values

*N* has to be a positive value (greater than zero). If you set *N* to be zero, the ranking will take into account *every* competition in the period of time you set.
Setting *N* to more than the number of competitions, will have the same effect as setting to zero - all competitions will be counted.

##### Suggested

A sensible value for *N* is a number that is achievable for competitors, and the decision should be based around where your competitions are typically run (i.e. in a small area)
and how many you aim to have. For example, if you aim to have 12 competitions, and they are all in the same village, you can reasonably set *N* to something like *10* as you
can expect competitors to make it to the area. If you have 12 competitions but they are spread throughout the country a more reasonable value could be as low as 4 or 5.

This is going to be more trial and error, and you can change the value for *N* at any time.

#### Winning Score

Defines the score for a win, the default is **100**. All the examples above use 100 as the winning score.

##### Allowed values

Any whole number value above or equal to 100. **NB.** If you select a value that is *less* than the maximum number of competitors in a competition, this will be increased to that value.

##### Suggested

Generally **100** is a good starting point. If your competitions have more competitors, increase the value.

#### From / To

Defines the period between which the ranking is calculated, the From and To dates are *inclusive* so if you set a date of the 1st of January, any competition run
on the 1st of January **will** be included.

##### Allowed values

Any valid dates.

##### Suggested

Generally you want the time frame to be a year or less.

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