Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4.
$$\begin{array} { c c }
\text { Group 1 } & \text { Group 2 } \
\hline 1 & 3 \
2 & 4
\end{array}$$
-Refer to Data Set 15-1. The rationale of nonparametric tests says that if the null hypothesis is true,
A) the mean score of the population from which Group 1 comes will be equal to that ofGroup 2
B) the mean score of the population from which Group 1 comes will not be equal to that ofGroup 2
C) the sum of the ranks of those in Group 1 will be equal to the sum of those in Group 2
D) the sum of the ranks of those in Group 1 will not be equal to the sum of those in Group 2.

Question

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4.
 $$\begin{array} { c c } 
\text { Group 1 } & \text { Group 2 } \
\hline 1 & 3 \
2 & 4
\end{array}$$
-Refer to Data Set 15-1. The rationale of nonparametric tests says that if the null hypothesis is true,
A) the mean score of the population from which Group 1 comes will be equal to that ofGroup 2
B) the mean score of the population from which Group 1 comes will not be equal to that ofGroup 2
C) the sum of the ranks of those in Group 1 will be equal to the sum of those in Group 2
D) the sum of the ranks of those in Group 1 will not be equal to the sum of those in Group 2.

Quizplus · Accepted Answer

Nonparametric tests, such as the one implied by using ranks, do not assume anything about the population means. Instead, they often test for differences in medians or distributions. If the null hypothesis is true (assuming no difference between groups), the ranks should be distributed equally between the groups, leading to equal sums of ranks.

Data Set 15-1: the Scores Below Are Ranks Group 1 Group 2 1324\begin{array} { c c } \text { Group 1 } & \text { Group 2 } \\\hline 1 & 3 \\2 & 4\end{array} Group 1 12​ Group 2 34​​

Data Set 15-1: the Scores Below Are Ranks $\begin{array} { c c } \text { Group 1 } & \text { Group 2 } \\\hline 1 & 3 \\2 & 4\end{array}$