# Incremental one-way ANOVA

Imagine you have a set of four elements (A-D) with some numeric values of a measured property (several observations for each element):

A: 26 25 29 21
B: 24 17 16
C: 32 34 29 19 25 27 28
D: 23 29 26 20 14


I have to detect if there are significant differences on the average levels. So I run a one way ANOVA to determine if differences are found. It works fine but, when I get a new sample, I need to execute the ANOVA again for just one new sample.

Is there any way to do an "incremental one-way ANOVA" that works without redoing the whole computations ?

I have a lot of data and the process is expensive in terms of time and memory consumption.

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