1. Read about each study below and identify which variation of ANOVA should be performed: Factorial ANOVA, Mixed ANOVA, ANCOVA, MANOVA. If there is a covariate in the study, what is it?

1. Hawkeye wants to know if cognitive behavioral therapy helps to reduce depression more than antidepressant drugs. He recruits 200 young people with depression. He measures how often participants feel depressed. Then Hawkeye randomly assigns 100 participants to cognitive behavioral therapy and 100 participants to receive an antidepressant drug. He measures depressive symptoms again after 1 month, 3 months, and 6 months of therapy.
   1. What type of analysis should Hawkeye use? ________________
   2. Covariate? ______________

1. Tony Stark is examining the efficacy of antidepressant and anti-anxiety medications for treating OCD. He randomly assigns participants to receive medication or a placebo. He then measures OCD symptoms with 2 measures: a measure of obsessive thoughts and a measure of compulsive behaviors.
   1. What type of analysis should Tony Stark use? ________________
   2. Covariate? ______________

1. T'Challa is researching the impact of the Blip on anxiety. (The Blip is major traumatic event depicted in the Marvel Cinematic Universe (MCU)). T'Challa asks 1,000 participants if they lost a close family member or friend during the Blip, placing participants into 2 categories: (1) Yes, I lost a loved one VERSUS (2) No, I did not. He then measures the anxiety of all participants. T'Challa knows, however, that some of his participants had anxiety before the Blip. He measures pre-Blip anxiety and wants to control for it in his ANOVA.
   1. What type of analysis should T'Challa use? ___________________
   2. Covariate? ______________