Do people remember names better under different circumstances? In a fictional study, a cognitive psychologist studied memory for names after a group activity that lasted 20 minutes. Participants were not told that this was a study of memory. After the group activity, participants were asked to name the other group members. The researcher randomly assigned 120 participants to one of three conditions: (1) group members introduced themselves once (one introduction only), (2) group members were introduced by the experimenter and by themselves (two introductions), and (3) group members were introduced by the experimenter and themselves and also wore name tags throughout the group activity (two introductions and name tags). 

a. Identify the type of ANOVA that should be used to analyze the data from this study. 

b. State what the researcher could do to redesign this study so it would be analyzed with a one-way within-groups ANOVA. Be specific.