What is the difference between One way anova and two way anova?

A one way ANOVA only comes with one independent variable or just one factor while the two-way ANOVA would need two independent variables or two factors. In a one-way ANOVA, there are three or more categorical groups that are being analyzed with just one factor.

In a two-way ANOVA, there are different groups that are being compared with the two factors that are given. The main purpose of the one-way ANOVA is to do a comparison, whereas, in a two-way ANOVA, the main goal is to compare if there is any interaction within the groups that are available. It is also used to test the effect of factors at the same time.

A one-way ANOVA is a statistical test wherein it compares the group means’ variance to a sample while considering only one independent variable. A two-way ANOVA, on the other hand, somehow looks like the one-way ANOVA, but each sample is defined in two ways that result in two definite groups. A one-way ANOVA compares three or more certain groups to know if there are differences between them.

The two-way ANOVA examines whether the factors observed affect each other, thus making an influence on the continuous variable. They have different assumptions as well as the one-way ANOVA studies the dependent variable, sample independence, normality, and variance equality. The two-way ANOVA also has the same premises as of the one-way ANOVA but adding the two independent variables.