3. Given the data below, a researcher wants to compare degree of pain during max
ID: 3056749 • Letter: 3
Question
3. Given the data below, a researcher wants to compare degree of pain during maximal activity between males randomized to Motrin and a placebo. Which non-parametric test would be most appropriate to use in this situation? Justify your answer. What would the null and alternative hypotheses be in this situation?
ID
Age
Drug
Pain Level
701
42
1
5
702
45
2
2
703
43
1
4
704
48
2
1
705
56
1
3
706
44
1
1
707
31
2
2
708
49
2
6
709
44
2
6
710
38
1
4
.
.
.
.
.
.
.
.
.
.
.
.
729
54
2
5
730
40
1
1
ID
Age
Drug
Pain Level
701
42
1
5
702
45
2
2
703
43
1
4
704
48
2
1
705
56
1
3
706
44
1
1
707
31
2
2
708
49
2
6
709
44
2
6
710
38
1
4
.
.
.
.
.
.
.
.
.
.
.
.
729
54
2
5
730
40
1
1
Explanation / Answer
In this situation, the Mann Whitney U Test is appropriate.
Nonparametric tests are mainly used when our data aren’t normal. Also, the dependent variable (the degree of pain score) is ordinal, which indicates that the underlying is likely to be skewed, thus strengthening our claim that the data are not normal. In this instance, we would like to test the medians of the two groups rather than the means.
Null Hypothesis: the distribution of the degree of pain scores for the two groups are equal.
Alternative Hypothesis: the distribution of the degree of pain scores for the two groups are not equal.
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