Three Way ANOVA - Explained
What is a Three-Way ANOVA?
Written by J. Mance Gordon
Updated at April 22nd, 2024
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What is Three-Way ANOVA?
A three-way ANOVA which is also referred to as three-factor ANOVA refers to a statistical method of ascertaining three factors' effects on an outcome. ANOVA is the acronym for analysis of variance, and variance is the data variability around the mean or average. By using ANOVA, a researcher can ascertain whether the variability of the outcomes is a result of chance or to the factors in the analysis. ANOVA has numerous applications in medicine, social science, and science.
How does a Three-Way ANOVA Work?
A pharmaceutical company, for instance, might execute a three-way ANOVA to ascertain a drug's effect on a medical condition. One of the factors would be the drug, another might be the gender of the subject, while the third might be the age of the subject. These three factors might each have a unique effect on the result. They might also interact with one another. The drug may positively affect male subjects, for instance, but might not work on males who are above a specific age. Three-way ANOVA permits the scientist to weigh the effects of each and if the factors interact.