Final answer:
Adding an additional source of variance to ANOVA increases its power by accounting for other factors that may influence the dependent variable.
Step-by-step explanation:
Adding an additional source of variance to your ANOVA, such as a covariate, block, or subject effects, can make your analysis more powerful because it helps to account for and control for other factors that may influence the dependent variable. By including these additional variables in the analysis, you can better isolate the effect of the independent variable on the dependent variable. This increases the sensitivity of the analysis and enhances the ability to detect significant differences between groups.