August 06, 2020, 05:43:08 PM

## How the statistics works?

Started by eumk2012, June 01, 2020, 08:22:38 PM

#### eumk2012

##### June 01, 2020, 08:22:38 PM
Dear, Piboso!

The rating of racers in page http://stats.kartracing-pro.com/stats.php
How it calcutated?

#### PiBoSo

##### June 04, 2020, 02:14:29 PM #1

The rating is calculated using the Elo rating system, based on the Final race results only.

Please note that, at the moment, the rating is calculated only for drivers using the stock karts.

#### eumk2012

##### June 07, 2020, 02:02:20 PM #2
Thanks, Piboso!

As a scientist, this topic has become curious to me. It's possible that I'm wrong, the rating calculation is as follows:
-first, all racers get a rating of 1000, but until the 10th race they are displayed as Unrated.
- then, it seems like that:
$R'_{x}=R_{x}+k\cdot \left [ \frac{N-p_{x}}{N-1} - \frac{ \sum_{i=1,i \neq x}^{N} \frac{1}{1+10^{\frac{R_{i}-R_{x}}{400} }} }{N-1} \right ]$
where:
$R'_{x}$ - new rating of racer x;
$R_{x}$ - old rating of racer x;
$k=10$
$N$ - the number of participants in the race;
$p_{x}$ - the final position of racer x;
$R_{i}$ - old rating of racer i.

#### eumk2012

##### July 28, 2020, 04:16:54 PM #3
Dear, Piboso!

It looks like the statistics are not working since 2020-06-16

#### PiBoSo

##### July 29, 2020, 10:32:04 AM #4
Quote from: eumk2012 on July 28, 2020, 04:16:54 PMDear, Piboso!

It looks like the statistics are not working since 2020-06-16

Unfortunately at the moment records and stats are not saved.

An update of Kart Racing Pro will be released as soon as possible to solve the issue.