scipy.stats.f_oneway

scipy.stats.f_oneway(*args)

Performs a 1-way ANOVA.

The on-way ANOVA tests the null hypothesis that 2 or more groups have the same population mean. The test is applied to samples from two or more groups, possibly with differing sizes.

Parameters :

sample1, sample2, ... : array_like

The sample measurements should be given as arguments.

Returns :

F-value : float

The computed F-value of the test

p-value : float

The associated p-value from the F-distribution

Notes

The ANOVA test has important assumptions that must be satisfied in order for the associated p-value to be valid.

1. The samples are independent
2. Each sample is from a normally distributed population
3. The population standard deviations of the groups are all equal. This property is known as homocedasticity.

If these assumptions are not true for a given set of data, it may still be possible to use the Kruskal-Wallis H-test (`stats.kruskal`_) although with some loss of power

The algorithm is from Heiman[2], pp.394-7.

References

[R48]

Lowry, Richard. “Concepts and Applications of Inferential Statistics”. Chapter 14. http://faculty.vassar.edu/lowry/ch14pt1.html

[R49]

Heiman, G.W. Research Methods in Statistics. 2002.