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Homework answers / question archive / Which of the following involves making pairwise comparisons? a
Which of the following involves making pairwise comparisons?
a. Comparing the standard deviation of GRE grades between two states
b. Comparing the variance of the amount of soda consumed by boys and girls in a high school
c. Comparing the mean weight between children in grades 2, 3, 4, and 5
d. Comparing the number of restaurants in New York and Boston
The pairwise comparisons are made when the numbers of groups that are being compared are more than two in number to know which pair varies among the given groups.
Thus, the comparisons mentioned in the options, the only comparison which will involve pairwise comparisons is c. Comparing the mean weight between children in grades 2, 3, 4, and 5.
The explanation for the incorrect options:
In the options a., b. and d. there are only two groups of the comparison, which means a direct testing method can be applied to check the difference between the groups. Thus, no pairwise comparisons are needed in these cases.