Question: The ‘‘name game.'' Check the assumptions for the completely randomized design ANOVA in Exercise.

Exercise: The ‘‘name game.'' Psychologists at Lancaster University (United Kingdom) evaluated three methods of name retrieval in a controlled setting (Journal of Experimental Psychology-Applied, June 2000). A sample of 139 students was randomly divided into three groups, and each group of students used a different method to learn the names of the other students in the group. Group 1 used the ‘‘simple name game,'' where the first

student states his/her full name, the second student announces his/her name and the name of the first student, the third student says his/her name and the names of the first two students, etc. Group 2 used the ‘‘elaborate name game,'' a modification of the simple name game where the students not only state their names but also their favorite activity (e.g., sports). Group 3 used ‘‘pairwise introductions,'' where students are divided into pairs and each student must introduce the other member of the pair. One year later, all subjects were sent pictures of the students in their group and asked to state the full name of each. The researchers measured the percentage of names recalled for each student respondent. The data (simulated based on summary statistics provided in the research article) are shown in the accompanying table. Conduct an analysis of variance to determine whether the mean percentages of names recalled differ for the three name retrieval methods. Use α = .05.