The Spearman rank-order correlation coefficient, rs, is the nonparametric version of r. It converts all (x, y) pairs to their corresponding (x rank, y rank) pairs and computes the correlation between the X and Y rankings. Below are 7 randomly generated (x, y) pairs: (14,35) (24,57) (29,85) (36,83) (53,39) (91,92) (94,29)
The Spearman rank-order correlation coefficient is found to be rs = -0.32.
a. Which of the following 7 (x, y) pairs will also have rs0.32?
a. (8,31) (16,42) (20,46) (47,49) (56,58) (88,66) (97,91).
b. (8,65) (16,90) (20,41) (47,30) (56,45) (88,57) (97,48)
c. (8,6) (16,7) (20,2) (47,1) (56,3) (88,5) (97,4).
d. (1,66) (2,91) (3,42) (4,31) (5,46) (6,58) (7,49).
e. (8,1) (16,2) (20,3) (47,4) (56,5) (88,6) (97,7).
b. Any set of n (x, y) pairs can be written as (1,-), (2,--), (3,--), , (n,-) with blanks filled in with 1, 2, 3, , n in different orders corresponding to the rank of the y values You can always translate values to ranks, but can you ever translate ranks back to values?
1. Yes
2. No