Question

The following data relates to scores awarded by 2 architects for a certain building design. Calculate the Spearman rank correlation and interpret the results.

	Architect
No.	1	2
1	37	42
2	28	34
3	30	40
4	18	28
5	31	30
6	40	43

Answer 1

where, D is the difference between the corresponding ranks of the data set.

Let architect 1 be A₁ and architect 2 be A₂

Let R₁ and R₂ represent the corresponding ranks of the data set.

A1	A2	R1	R2	D2
37	42	2	2	0
28	34	5	4	1
30	40	4	3	1
18	28	6	6	0
31	30	3	5	4
40	43	1	1	0
				∑D2 = 6

 

r_s = 0.8286, meaning there is a strong positive correlation between the scores awarded by the architects.

There is a strong positive correlation between the scores awarded by the architects.