Question

Calculate the Spearman's Rank coefficient of correlation from the following data: Rank of x: 1,2,3,4,5,6,7,8 Rank of y: 2,4,1,5,3,8,7,6 (A) 0.74 (B) 0.75 (C) 0.76 (D) None​

Answer 1

Answer:

X Y Rank X Rank Y d d

2

35 40 1 2 1 1

54 60 2 3 1 1

80 75 4 5 1 1

95 90 8 6 2 4

73 70 3 4 1 1

73 75 3 5 2 4

35 38 1 1 0 0

91 95 7 7 0 0

83 75 6 5 1 1

81 70 5 4 1 1

∑d

2

=14

Sperman rank correlation coefficient =r=1−

n(n

2

−1)

6∑d

2

r=1−

10(100−1)

6(14)

r=1−

990

84

=1−.084=.915