Kruskal Wallis H test Use when a nonparametric test is needed.

1. Kruskal Wallis H test • Use when a nonparametric test is needed. • When you have one variable but more than two groups. • Equivalent to a one way ANOVA

3. Gr 1 Gr 2 Gr 3 100 140 150 95 200 212 150 185 280 82 150 225 160 210 190

4. Gr 1 Gr 2 Gr 3 100 3 140 4 150 95 2 200 212 150 185 280 82 1 150 225 160 210 190

5. Tied ranks of 5, 6 and 7 5 + 6 + 7 = 18 18 / 3 = 6 Averaged rank to be given: 6

6. Gr 1 Gr 2 Gr 3 100 3 140 4 150 6 95 2 200 212 150 6 185 280 82 1 150 6 225 160 210 190

7. Gr 1 Gr 2 Gr 3 100 3 140 4 150 6 95 2 200 212 150 6 185 9 280 82 1 150 6 225 160 8 210 190

8. Gr 1 Gr 2 Gr 3 100 3 140 4 150 6 95 2 200 11 212 13 150 6 185 9 280 15 82 1 150 6 225 14 160 8 210 12 190 10

9. Gr 1 Gr 2 Gr 3 100 3 140 4 150 6 95 2 200 11 212 13 150 6 185 9 280 15 82 1 150 6 225 14 160 8 210 12 190 10 20 42 58

10. Check the rankings:

11. 20 + 42 + 58 = 120

17. Evaluate using a Chi Square table df: K-1 If the computed value is greater than the critical value the outcome is significant.

18. K= 3 groups df = 2 critical value : 5.99 7.28 > 5.99, therefore, there are significant differences between the groups.