reply The ANOVA test setup may be incorrect due to the choice of variables (studying and test grades) or the control group (who studied and who didn't). Students who got the best scores without studying are already experts. For instance, a student with a solid foundation in math will always be able to solve math problems, whereas a student who spends hours studying may still fail the test if they lack understanding of basic math concepts. Additionally, it's possible that the top-performing students in this class studied a lot before the ANOVA test was administered. To demonstrate that studying or the amount of time spent on it has no bearing on their scores or that they are already highly knowledgeable in the field, I would use the variables "Honors level students" or "High-performing students" on the ANOVA to show that they have strong prior knowledge in the area or field being tested. Additionally, contrast this outcome with another variable: non-Honors and non-high-performing kids who put in hours of study time without seeing any change in their performance