Question
Download Solution PDFIf six hand-writings were ranked by two judges in a competition and the rankings are as follows:
| Hand Writing | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | |
| Judge1 | 6 | 5 | 4 | 3 | 2 | 1 |
| Judge2 | 1 | 2 | 3 | 4 | 5 | 6 |
Then the value of Spearman's rank correlation coefficient is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula
The spearman rank correlation coefficient = r = 1 -(6∑d2)/n(n2 - 1)
Calculation
|
Judge 1(R1) |
Judge 2(R2) |
(R1 – R2) = D |
D2 |
|
6 |
1 |
5 |
25 |
|
5 |
2 |
3 |
9 |
|
4 |
3 |
1 |
1 |
|
3 |
4 |
-1 |
1 |
|
2 |
5 |
-3 |
9 |
|
1 |
6 |
-5 |
25 |
|
Total |
|
|
∑ D2 = 70 |
According to the formula
⇒ r = 1 - [(6 × 70)/6(62 - 1)]
⇒ r = 1 - [(6 × 70/210]
⇒ r = 1 - 6/3
∴ Spearman rank correlation coefficient r is - 1
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