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प्रश्न
Calculate Spearman's Rank Correlation Coefficient between the following marks given by 'two' judges (A) and (B) to •eight' contestants in the elocution competition:
| Contestants | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Marks by A | 81 | 72 | 60 | 33 | 29 | 11 | 56 | 42 |
| Marks byB | 75 | 56 | 42 | 15 | 30 | 20 | 60 | 80 |
उत्तर
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| contestants | Marks by A | Marks by B | Rank of A (R1) | Rank of B R2 | D = R1 - R2 | D2 |
| 1 | 81 | 75 | 1 | 2 | -1 | 1 |
| 2 | 72 | 56 | 2 | 4 | -2 | 4 |
| 3 | 60 | 42 | 3 | 5 | -2 | 4 |
| 4 | 33 | 15 | 6 | 8 | -2 | 4 |
| 5 | 29 | 30 | 7 | 6 | 1 | 1 |
| 6 | 11 | 20 | 8 | 7 | 1 | 1 |
| 7 | 56 | 60 | 4 | 3 | 1 | 1 |
| 8 | 42 | 80 | 5 | 1 | 4 | 16 |
| Total | 32 |
From the table ∑ d2=32
`therefore "R" = 1-(6 sum "d"^2)/("n"("n"^2 - 1))`
`= 1 - (6 xx 32)/(8(64 - 1))`
= R = 0.619
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