Design of experiments : Analysis of variance

Analysis of variance
Design of experiments

Author : Jacques GOUPY

Review date: October 1, 2020 | Lire en français

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7. Analysis of variance

Let's now turn to the case of discrete factors with more than two levels. To study them, we need to adopt a technique well known to statisticians: analysis of variance or ANOVA (see [23] ). It is not our intention to describe this tool in detail, which can be found in any good statistics book, but simply to show its links with experimental design.

7.1 Defining the effect of a factor

Let's take the example of a "person" factor. If there are three levels of person, this means there are three individuals: James, Louis and Peter. If they set up the same analysis method and all conditions are the same for a determination made by each of them, they will obtain three slightly different results: y...

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Analysis of variance