
KRUSKAL-WALLIS H-TEST FOR LOCATION PARAMETER 47
=
12
119.5
2
/8 + 95.5
2
/8 + 110
2
/9
(25)(25 + 1)
−3(25 + 1)
/0.9550 = 0.8604.
From Table A.6, the critical value for sample sizes 9, 8, and 8, and
α
= 0.05 is 5.810,
which is above the test statistic. Therefore, we fail to reject the null hypothesis and
draw the conclusion that, statistically speaking, there is no clear winner in this tour-
nament.
The same value of the test statistic can be obtained in SAS. The code is
data archery;
input name $ score @@;
datalines;
Monica 3 Monica 4 Monica 4 Monica 5 Monica 5 Monica 5 Monica 10
Monica 10 Bob 2 Bob 2 Bob 3 Bob 4 Bob 4 Bob 5 Bob 10 Bob 10
Jeff 1 Jeff 1 Jeff 2