3Way ANOVA calculator
Load ANOVA data setIf you want to calculate a 3way analysis of variance online, simply select three nominal variables and one metric variable. The results of a threeway ANOVA will then be calculated.
You will then see the results of the calculated 3way ANOVA. First the hypotheses are displayed and then the table with the calculated main effects and the interaction effects.
3Way ANOVA
A 3way ANOVA, also known as a threefactor ANOVA, is a statistical test used to determine the effects of three independent categorical variables (or factors) on a continuous dependent variable. It also assesses the interactions between these three factors. In other words, a 3way ANOVA is an extension of the oneway and twoway ANOVA calculator for situations where there are three independent factors.
Possible Outcomes:

Main effects for each of the three factors:
 Effect of factor A on the dependent variable, ignoring factors B and C.
 Effect of factor B on the dependent variable, ignoring factors A and C.
 Effect of factor C on the dependent variable, ignoring factors A and B.

Twoway interaction effects between pairs of factors:
 Interaction effect between factors A and B, ignoring factor C.
 Interaction effect between factors A and C, ignoring factor B.
 Interaction effect between factors B and C, ignoring factor A.

Threeway interaction effect among all three factors:
 Interaction effect between factors A, B, and C. This tests whether the twoway interactions are consistent across levels of the third factor.
The idea behind these tests is to assess not only how each factor independently affects the dependent variable but also how combinations of factors do. For instance, a twoway interaction indicates that the effect of one factor depends on the level of another factor.
The results of a 3way ANOVA can be complex and require careful interpretation. If significant interactions are detected, it is common to conduct posthoc tests or plot interaction graphs to better understand the nature of these interactions.