Perform a 1-way ANOVA.
The one-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 .
This is a modified version of
scipy.stats.f_oneway()that avoids computing the associated p-value.
The sample measurements should be given as arguments.
The computed F-value of the test.
The ANOVA test has important assumptions that must be satisfied in order for the associated p-value to be valid.
The samples are independent
Each sample is from a normally distributed population
The population standard deviations of the groups are all equal. This property is known as homoscedasticity.
If these assumptions are not true for a given set of data, it may still be possible to use the Kruskal-Wallis H-test (
scipy.stats.kruskal()) although with some loss of power.
The algorithm is from Heiman , pp.394-7.