Which of the following is a common type of factorial design?

A two-way factorial design is a common type of factorial design because it involves two independent variables, allowing researchers to examine the interaction between these variables as well as their main effects. This design is particularly valuable as it enables a more complex analysis of how multiple factors contribute to the outcome of interest. With two independent variables, researchers can understand not only how each variable affects the dependent variable on its own but also how they influence each other. This type of design is widely used in psychological research, as it helps to draw more nuanced conclusions and enhances the ability to generalize findings.

The concept of factorial designs extends beyond two-way designs; however, the two-way factorial design is considered one of the most fundamental and frequently used types in research because it strikes a balance between complexity and practicality. While three-way and multi-way designs are valid and offer even greater analytical depth, they may introduce additional complexity that can complicate analysis and interpretation, making two-way factorial designs a staple in experimental research.