Chapter 1 Assumptions

The assumptions of the one-way ANOVA test can be summarised as follows:

One-way ANOVA Assumptions:

1. The data are numeric
2. Independence of observations
3. The random errors are normally distributed
4. The population variances for each group are equal.

As we can see, these assumptions are not dissimilar to the assumptions we have seen previously for the independent samples \(t\)-test. However, here we will be checking for normality of the random errors, which will be discussed later. In order to check for normality of the random errors, we will need to carry out the test first. For that reason, we will check the assumptions after carrying out the one-way ANOVA test.

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These notes have been prepared by Amanda J. Shaker. The copyright for the material in these notes resides with the author named above, with the Department of Mathematics and Statistics and with La Trobe University. Copyright in this work is vested in La Trobe University including all La Trobe University branding and naming. Unless otherwise stated, material within this work is licensed under a Creative Commons Attribution-Non Commercial-Non Derivatives License CC BY-NC-ND