Use a two way ANOVA when you have one measurement variable (i.e. a quantitative variable) and two nominal variables. In other words, if your experiment has a quantitative outcome and you have two categorical explanatory variables, a two way ANOVA is appropriate.

What is the difference between 1 way and 2 way ANOVA?

A one-way ANOVA only involves one factor or independent variable, whereas there are two independent variables in a two-way ANOVA. ... In a one-way ANOVA, the one factor or independent variable analyzed has three or more categorical groups. A two-way ANOVA instead compares multiple groups of two factors.

What are the three types of ANOVA?

Two-Way ANOVA is ANOVA with 2 independent variables. Three different methodologies for splitting variation exist: Type I, Type II and Type III Sums of Squares. They do not give the same result in case of unbalanced data. Type I, Type II and Type III ANOVA have different outcomes!