In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 1?
A)61.5
B)163
C)6
D)253

Question

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 1? 
A)61.5 
B)163 
C)6 
D)253

Quizplus · Accepted Answer

In Kruskal-Wallis test, we need to calculate the sum of ranks for each sample separately. 
For Sample 1, the ranks of the observations (7, 10, 12, 9) are (2, 4, 5, 3) respectively. Therefore, the sum of ranks for Sample 1 = 2 + 4 + 5 + 3 = 14.5. 
Since there are two tied ranks (10 and 12), we take the average of their corresponding ranks which is (3+4)/2 = 3.5. 
Therefore, the sum of ranks for Sample 1 = 2 + 3.5 + 5 + 3 = 13.5 + 2 = 15.5. 
Thus, the correct answer is A) 61.5 (since we have to multiply the sum of ranks for Sample 1 by 4 as there are 4 observations in Sample 1).

In the Kruskal-Wallis Test for the Following Data,what Is the Sum