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प्रश्न
In a contest, the competitors are awarded marks out of 20 by two judges. The scores of the 10 competitors are given below. Calculate Spearman's rank correlation.
| Competitors | A | B | C | D | E | F | G | H | I | J |
| Judge A | 2 | 11 | 11 | 18 | 6 | 5 | 8 | 16 | 13 | 15 |
| Judge B | 6 | 11 | 16 | 9 | 14 | 20 | 4 | 3 | 13 | 17 |
उत्तर
| Judge A | `R_1` | Judge B | `R_2` | `D = R_1 - R_2` | `D^2` |
| 2 | 10 | 6 | 8 | 2 | 4 |
| 11 | 5.5 | 11 | 6 | 0.5 | 0.25 |
| 11 | 5.5 | 16 | 3 | 2.5 | 6.25 |
| 18 | 1 | 9 | 7 | -6 | 36 |
| 6 | 8 | 14 | 4 | 4 | 4 |
| 5 | 9 | 20 | 1 | 8 | 64 |
| 8 | 7 | 4 | 9 | -2 | 4 |
| 16 | 2 | 3 | 10 | -6 | 64 |
| 13 | 4 | 13 | 5 | -1 | 1 |
| 15 | 3 | 17 | 2 | 1 | 1 |
C.F = `1/12 {(m_1^3 - m_1)} = 1/2 {8 -2} = 6/12 = 1/2`
`R = 1 - (6[sumd^2 + cf])/(m(n^2 -1))`
`= 1 - 6 [(184.5 + 1/2)]/(10(10^2 - 1))`
`= 1 - (6xx 185)/(10 xx 99)`
= 1 - 1.12
= - 0.12
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