What are the indicators for using a regression analysis? Create a research scenario in which it would be correct to use a regression analysis, including the research question, and dependent and independent variables.
ANOVA compares the difference in means between multiple groups.
Dependent variable: Must be interval or ratio
Independent variable: Categorical (this is what gives us groups to compare)
Example: Does BMI score differ between youth from low-, middle-, and high-income households?
Dependent variable: BMI score
Independent variable: Level of household income
Regression, on the other hand, does not compare groups and is not trying to determine if group A is different from group B. Instead, regression looks at the participants all together as one group, examining how the their characteristics predict the dependent variable. For example, if a participant is female and older, they are more likely to have a higher BMI than a younger male. In this case, the regression analysis is looking at ...
This answer describes the differences between regression and ANOVA, with examples, and discusses the basic features of regression.