statistics-0.16.3.0: A library of statistical types, data, and functions

Copyright | (c) 2014 Danny Navarro
License | BSD3
Maintainer | bos@serpentine.com
Stability | experimental
Portability | portable
Safe Haskell | None
Language | Haskell2010

Statistics.Test.KruskalWallis

Contents

- Kruskal-Wallis test
  - Building blocks

Description

Synopsis

- kruskalWallisTest :: (Ord a, Unbox a) => [Vector a] -> Maybe (Test ())
- kruskalWallisRank :: (Unbox a, Ord a) => [Vector a] -> [Vector Double]
- kruskalWallis :: (Unbox a, Ord a) => [Vector a] -> Double
- module Statistics.Test.Types

# Kruskal-Wallis test

kruskalWallisTest :: (Ord a, Unbox a) => [Vector a] -> Maybe (Test ()) #

Perform Kruskal-Wallis Test for the given samples and required significance. For additional information check `kruskalWallis`. This is just a helper function.

It uses Chi-Squared distribution for approximation as long as the sizes are larger than 5. Otherwise the test returns `Nothing`.

## Building blocks

kruskalWallisRank :: (Unbox a, Ord a) => [Vector a] -> [Vector Double] #

Kruskal-Wallis ranking.

All values are replaced by the absolute rank in the combined samples.

The samples and values need not to be ordered but the values in the result are ordered. Assigned ranks (ties are given their average rank).

kruskalWallis :: (Unbox a, Ord a) => [Vector a] -> Double #

The Kruskal-Wallis Test.

In textbooks the output value is usually represented by `K` or `H`. This function already does the ranking.

module Statistics.Test.Types