J_ . ._ _..._. Part 1: Factorial Study Design 0 A group of scientists is experimenting with a new gaming controller. They compare the controller with the X30}: controller, the Switch controller, and the PS4 controller. They also plan to ask the participants to play different genre of games: RPG, Shooter, and Strategy Games. Now, answer the following questions: 1. Why is a withinsubject design good for this study? Why is it bad? Describe your answer in two paragraphs at most. 2. Why is a betweensubject design good for this study? Why is it bad? Describe your answer in two paragraphs at most. 3. What are the factors in the study, and what are the levels for each factor? 4. If we require 12 participants per block, how many participants will be needed for {do not consider counterbalancing or permutating the blocks): a. The withinsubject design. b. The betweensubject design. 5. Why the scientists should consider Latinsquare blocking for this study if they plan to do a withinsubject study or a study with a mixed design? 6. Describe an example of what might constitute an interaction in the study