#statistical #distribution #data #statistics #compare #sample #test

bin+lib kolmogorov_smirnov

Implementation of the Kolmogorov-Smirnov statistical test as a Rust library

4 releases (stable)

Uses old Rust 2015

1.1.0 Dec 27, 2015
1.0.1 Dec 20, 2015
1.0.0 Dec 19, 2015
0.1.0 Dec 16, 2015

#435 in Science

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106 downloads per month
Used in 8 crates

Apache-2.0

59KB
1K SLoC

Build Status

Implementation of the Kolmogorov-Smirnov statistical test as a Rust library. Read an introduction about this project, Rust, and the Kolmogorov-Smirnov test here.

Getting Started

The Kolmogorov-Smirnov library is available as a crate, so it is easy to incorporate into your programs. Add the dependency to your Cargo.toml file.

[dependencies]
kolmogorov_smirnov = "1.1.0"

Information about the latest published crate is available on crates.io.

Using the test is also straightforward, call the kolmogorov_smirnov::test function with the two samples to compare and the desired confidence level.

extern crate kolmogorov_smirnov as ks;

let xs = vec!(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12);
let ys = vec!(12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0);
let confidence = 0.95;

let result = ks::test(&xs, &ys, confidence);

if !result.is_rejected {
    // Woot! Samples are from the same distribution with 0.95 confidence.
}

Alternatively, if you have floating point or integer data to test, you can use the included test runners, ks_f64.rs and ks_i32.rs. These operate on single-column headerless data files and test the samples against each other at the 0.95 confidence level.

$ cargo run -q --bin ks_f64 dat/normal_0_1.tsv dat/normal_0_1.1.tsv
Samples are from the same distribution.
test statistic = 0.0399169921875
critical value = 0.08550809323787689
reject probability = 0.18365715210599798

$ cargo run -q --bin ks_f64 dat/normal_0_1.tsv dat/normal_1_1.1.tsv
Samples are from different distributions.
test statistic = 0.361572265625
critical value = 0.08550809323787689
reject probability = 1

Developing Kolmogorov-Smirnov

Install the Rust development tools on your system if they are not already available. Then build and test the library using:

cargo test

Docker

A Docker container definition is provided with installations of the tools used to develop the software. To use the container, first install Docker if not already available and start a Docker terminal. Then create the container by running the following build at the top level of the repository source tree:

docker build --rm=true -t statistics .

Once built, an interactive shell can be run in the container using:

docker run -it -v "$(pwd):/statistics" --workdir=/statistics statistics /bin/bash

The current working directory from the host machine is available as the current directory in the container so it is possible to build and test the library as described earlier.

cargo test

To see more detail on panics include the RUST_BACKTRACE environment variable.

RUST_BACKTRACE=1 cargo test

Building the Documentation

The RestructuredText format Sphinx documentation under doc can be compiled using the Makefile.

cd doc
make clean html

See this RestructuredText Primer for guidance on writing RestructuredText.

The Docker container provides an installation of Python, Sphinx, and LaTeX required to do this build. To make the documentation directly in container without an intermediate shell, use:

docker run -v "$(pwd):/statistics" --workdir=/statistics/doc statistics make clean html

The compiled document is written to the shared location and is available on the host machine under doc/_build. It is published at http://daithiocrualaoich.github.io/kolmogorov_smirnov using Github Pages.

To republish updated documentation, first build the html. Then create a copy of the repository and checkout the gh-pages branch. A separate copy is useful because the master and gh-pages branches are very dissimilar and switching between them with uncommitted changes is tedious.

cd ..
cp -r kolmogorov_smirnov kolmogorov_smirnov_ghpages
cd kolmogorov_smirnov_ghpages
git reset --hard HEAD
git clean -fdx
git checkout gh-pages

Now remake the contents of this branch from the recently generated document.

rm -fr *
cp -r ../kolmogorov_smirnov/doc/_build/html/* .

A .nojekyll file is also needed in order to prevent Github from ignoring the Sphinx CSS files.

touch .nojekyll

Commit the changes and push the gh-pages branch to origin to perform the publication.

git push origin gh-pages

To regenerate the diagrams, run the following.

docker run -v "$(pwd):/statistics" --workdir=/statistics/dat statistics R -e "rmarkdown::render('images.Rmd')"

Publishing on crates.io

Instructions for uploading to the crate repository at crates.io are here. First login to the site using:

cargo login <token>

Token can be found from crates.io/me. To make a release, first clean and build the package:

git stash
cargo clean
cargo package

Examine the built package under target/package/kolmogorov_smirnov-<version>. And when happy to publish:

cargo publish

And check out the new update at crates.io/crates/kolmogorov_smirnov.

License

Copyright [2015] [Daithi O Crualaoich]

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.

Dependencies

~330–560KB