https://github.com/607011/wilks
Jupyter notebook to fit a reciprocal polynomial on Wilks coefficients
https://github.com/607011/wilks
coefficients jupyter-notebook powerlifting python python3 weightlifting wilks
Last synced: 18 days ago
JSON representation
Jupyter notebook to fit a reciprocal polynomial on Wilks coefficients
- Host: GitHub
- URL: https://github.com/607011/wilks
- Owner: 607011
- License: gpl-3.0
- Created: 2020-07-23T11:10:55.000Z (almost 6 years ago)
- Default Branch: master
- Last Pushed: 2020-07-24T06:28:28.000Z (almost 6 years ago)
- Last Synced: 2024-12-28T13:33:10.564Z (over 1 year ago)
- Topics: coefficients, jupyter-notebook, powerlifting, python, python3, weightlifting, wilks
- Language: Jupyter Notebook
- Homepage:
- Size: 93.8 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# Wilks
_Jupyter notebook to fit a reciprocal polynomial on Wilks coefficients_
The Wilks coefficients are used to compare the weights lifted by athletes of different body weights.
The weight lifted is multiplied by the coefficient corresponding to the body weight.
The higher the product, the better the athlete has performed.
All weights need to be expressed in kilogram.
Unfortunately, the creator of the formula, Robert Wilks, CEO of Powerlifting Australia,
hasn't published the formula on which the coefficients are based on.
Only two tables of coefficients are [available](https://powerliftingaustralia.com/wilks-formula/), one for men, one for women.
The code in this Jupyter notebook extracts the coefficients from those tables (see the files wilks-men.tsv and wilks-women.tsv) and fits the following reciprocal polynomial on them:
coeff = _g_ / (_a_ + _b_ ⋅ _x_ + _c_ ⋅ _x_2 + _d_ ⋅ _x_3 + _e_ ⋅ _x_4 + _f_ ⋅ _x_5)
Where _x_ is the athlete's body weight in kilogram and the independent parameters _a_, _b_, _c_, … _g_ are to optimized to fit the curve to the given coefficients.
It turns out that the following values make the formula almost perfectly fit the coefficients:
| | Men | Women |
| --- | ---------------- | ---------------- |
| _a_ | 3.63670138e+04 | -9.31498570e+04 |
| _b_ | 6.55937783e+03 | 1.01904268e+04 |
| _c_ | 5.65741690e+01 | -2.43239016e+01 |
| _d_ | -1.07472551e+00 | -7.84945613e-01 |
| _e_ | 5.45052301e-03 | 7.00489691e-03 |
| _f_ | -9.30455617e-06 | -1.74074520e-05 |
| _g_ | 4.63384381e+05 | 4.46372497e+05 |
## Prerequisites
- Python 3.x
- Pipenv
## Running the code
Clone the repository, then enter the created directory:
```
git clone https://github.com/ola-ct/wilks.git
cd wilks
```
Install required modules:
```
pipenv install
```
Open Jupyter notebook:
```
pipenv run jupyter notebook
```
A browser window containing the notebook should open.
You can now run the code by pressing the "Run" button.
## License
Copyright © 2020 [Oliver Lau](mailto:oliver@ersatzworld.net)
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program. If not, see [http://www.gnu.org/licenses/](http://www.gnu.org/licenses/).