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ndtest

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multi-dimensional statistical test with python

// repository documentation

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# ndtest
Multi-dimensional statistical tests with python

- 2D Kolmogorov–Smirnov test (KS test)
- 1D and 2D energy distance statistics test

## Citation
The code has been cited in ~40 papers 
according to [Google Scholar](https://scholar.google.com/scholar?q=%22syrte%2Fndtest%22) :star_struck:

If you used this *code* in your paper, I would be grateful for a simple footnote mentioning the author and URL of this repo,
such as
```
We perform the 2D Kolmogorov–Smirnov test ...
using the public code \textsc{ndtest}\footenote{Written by Zhaozhou Li, \url{https://github.com/syrte/ndtest}}.
```
As to references for the *algorithms*, please check the docstrings.

## Installation

```bash
pip install git+https://github.com/syrte/ndtest
```

## Usage example
```
import numpy as np
import ndtest

# generate mock samples for the test
np.random.seed(42)
x1, y1 = np.random.randn(2, 100)
x2, y2 = np.random.randn(2, 100)  # same distribution as (x1, y1)
x3, y3 = np.random.randn(2, 100) * 1.5 + 0.5  # different distribution from (x1, y1)

# 2D KS
P, D = ndtest.ks2d2s(x1, y1, x2, y2, extra=True)
print(f"{P=:.3g}, {D=:.3g}")
# P=0.219, D=0.17

P, D = ndtest.ks2d2s(x1, y1, x3, y3, extra=True)
print(f"{P=:.3g}, {D=:.3g}")
# P=2.36e-05, D=0.385  # very small P, as expected.
```

See the docstring for the detailed usage and explanation.

## Star History

[![Star History Chart](https://api.star-history.com/svg?repos=syrte/ndtest&type=Date)](https://star-history.com/#syrte/ndtest&Date)

ndtest

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