Consider the following two sets of rankings for six items. Case One Case Two Item A B с D E F First Ranking 1 2 3 4 5 6 Second Ranking 1 2 3 4 5 6 Item A B с D E F Calculate the rank-correlation coefficient for Case 1. First Ranking Calculate the rank-correlation coefficient for Case 2. 1 2 3 4 5 6 Second Ranking 6 5 4 3 2 Note that in the first case the rankings are identical, whereas in the second case the rankings are exactly opposite. What value should you expect for the Spearman rank-correlation coefficient for each of these cases? Explain. (Select all that apply.) With identical rankings, as in case one, we would expect r₂ < 0. With exactly opposite rankings, as in case two, we would expect r₂ > 0. With exactly opposite rankings, as in case two, we would expect r = -1. With exactly opposite rankings, as in case two, we would expect r₂ = 1. With identical rankings, as in case one, we would expect r₂ = 1. With identical rankings, as in case one, we would expect r,-1. 1

MATLAB: An Introduction with Applications
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Consider the following two sets of rankings for six items.
Case One
Case Two
Item
A
B
C
D
E
F
First
Second
Ranking Ranking
1
1
2
3
4
5
6
2
3
4
5
6
Item
A
B
с
D
E
F
Calculate the rank-correlation coefficient for Case 1.
First
Ranking
Calculate the rank-correlation coefficient for Case 2.
r₂ =
1
2
3
4
5
6
Second
Ranking
6
5
4
3
2
Note that in the first case the rankings are identical, whereas in the second case the rankings are exactly opposite. What value should you expect for the Spearman rank-correlation coefficient for each of these cases? Explain. (Select all that apply.)
With identical rankings, as in case one, we would expect r < 0.
With exactly opposite rankings, as in case two, we would expect r > 0.
With exactly opposite rankings, as in case two, we would expect r = -1.
With exactly opposite rankings, as in case two, we would expect r = 1.
With identical rankings, as in case one, we would expect r = 1.
With identical rankings, as in case one, we would expect r = -1.
1
Transcribed Image Text:Consider the following two sets of rankings for six items. Case One Case Two Item A B C D E F First Second Ranking Ranking 1 1 2 3 4 5 6 2 3 4 5 6 Item A B с D E F Calculate the rank-correlation coefficient for Case 1. First Ranking Calculate the rank-correlation coefficient for Case 2. r₂ = 1 2 3 4 5 6 Second Ranking 6 5 4 3 2 Note that in the first case the rankings are identical, whereas in the second case the rankings are exactly opposite. What value should you expect for the Spearman rank-correlation coefficient for each of these cases? Explain. (Select all that apply.) With identical rankings, as in case one, we would expect r < 0. With exactly opposite rankings, as in case two, we would expect r > 0. With exactly opposite rankings, as in case two, we would expect r = -1. With exactly opposite rankings, as in case two, we would expect r = 1. With identical rankings, as in case one, we would expect r = 1. With identical rankings, as in case one, we would expect r = -1. 1
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