The following data table comes from Exercise 4 in Chapter 8, in which a psychology professor used three different methods of instruction in three small classes. In Chapter 8 you were asked to compare each pair of groups with the nonparametric rank-sum test. This time we would like you to:

(a) Test the null hypothesis that all three methods of instruction have the same effect on examination scores, using the Kruskal-Wallis H test, and compute η²/R;

(b) repeat the analysis by computing the ordinary one-way ANOVA and η2; 

(c) compare the results of parts a and b.

Group 1 Group 2 Group 3 94 86 60 97 42 97 96 61 100 72 73 57 99 93 40 96 63 90 98 92 87 97 65 67