In this section we discuss a method called Analysis of Variance (ANOVA), which allows us to compare several population means.

More specifically, we discuss the so-called one-way analysis of variance. This type of ANOVA compares the means of a variable that result from the classification by one other variable, called the factor. To illustrate the concept let us design a simple example. Say, we compare the mean annual salary of German residents grouped by federal sates (by the way there are sixteen federal states, which are collectively referred to as “Bundesländer”). Then we would get 16 means of annual salaries, one for each federal state. Thus, in this example the state variable is that one particular classification variable, the so-called factor.

Note: The one-way analysis of variance is the generalization of the pooled t-test to more than two populations.

Citation

The E-Learning project SOGA-R was developed at the Department of Earth Sciences by Kai Hartmann, Joachim Krois and Annette Rudolph. You can reach us via mail by soga[at]zedat.fu-berlin.de.

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You may use this project freely under the Creative Commons Attribution-ShareAlike 4.0 International License.

Please cite as follow: Hartmann, K., Krois, J., Rudolph, A. (2023): Statistics and Geodata Analysis using R (SOGA-R). Department of Earth Sciences, Freie Universitaet Berlin.