We test the effects of 3 types of fertilizer and 2 different planting densities on crop yield. Two-way ANOVA exampleIn the two-way ANOVA, we add an additional independent variable: planting density. One-way ANOVA exampleIn the one-way ANOVA, we test the effects of 3 types of fertilizer on crop yield. Our sample dataset contains observations from an imaginary study of the effects of fertilizer type and planting density on crop yield. In this guide, we will walk you through the process of a one-way ANOVA (one independent variable) and a two-way ANOVA (two independent variables). The null hypothesis ( H 0) of the ANOVA is no difference in means, and the alternative hypothesis ( H a) is that the means are different from one another. ANOVA tests whether there is a difference in means of the groups at each level of the independent variable.

Try for free ANOVA in R | A Complete Step-by-Step Guide with ExamplesĪNOVA is a statistical test for estimating how a quantitative dependent variable changes according to the levels of one or more categorical independent variables.

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