Compute the value of the H test statistic.
-A Kruskall-Wallis test is to be performed to compare three population means. Independent random samples are selected from three different populations. The sample data are given in the
Table below. $\begin{array}{r|c|c}
{\mathrm{A}} & \mathrm{B} & \mathrm{C} \
\hline 20.3 & 33.8 & 35.0 \
25 & 21.8 & 28.8 \
17.1 & 18.3 & 31.6 \
17.6 & 16.8 & 25.7 \
19.7 & 27.4 & 18.8 \
18.3 & & 32.9 \
& & 33.8
\end{array}$
A)$6.757$
B) $5.903$
C) $4.718$
D) $8.166$

Question

Quizplus · Accepted Answer

The Kruskal-Wallis H test statistic is calculated using the ranks of the combined data from all groups. The steps involve ranking all the observations across the groups from smallest to largest, computing the sum of ranks for each group, and then using the formula for the H statistic. Given the complexity of these calculations and the need for precise rank assignments and sums, the correct answer is obtained through detailed computation, which results in an H statistic of approximately 6.757.

Compute the Value of the H Test Statistic A) 6.7576.7576.757 B) 5.9035.9035.903

Compute the Value of the H Test Statistic A) $6.757$ B) $5.903$