Consider a study where researchers aim to evaluate the effectiveness of two types of chemotherapy drugs (Drug A and Drug B) across different stages of breast cancer (Stage I, II, and III). The dependent variable could be the reduction in tumor size after treatment. Hereâs how Two-Way ANOVA could be applied:
- Main Effect of Drug Type: Analyzing whether there is a significant difference in tumor reduction between Drug A and Drug B, irrespective of cancer stage. - Main Effect of Cancer Stage: Determining if the stage of cancer affects tumor reduction, regardless of the drug used. - Interaction Effect: Investigating whether the effectiveness of the drugs differs across cancer stages, which might suggest that one drug is more effective at a particular stage.
