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प्रश्न
Find the correlation between land under permanent crops and GDP given in the table using Spearman's Rank Correlation. Write the conclusion in your own words:
तक्ता
बेरीज
उत्तर
| X1 | R1 | Y1 | R2 | R1-R2 | (R1-R2)2 | |
| A | 0.3 | 11 | 76.48 | 12 | -1 | 1 |
| B | 0.04 | 12 | 1364.83 | 7 | 5 | 25 |
| C | 16.0 | 1.0 | 837.58 | 8 | -7 | 49 |
| D | 0.8 | 7.5 | 567.48 | 9 | -1.5 | 2.25 |
| E | 1.0 | 5.5 | 3456.35 | 4 | 1.5 | 2.25 |
| F | 0.6 | 9.0 | 312.84 | 10 | -1 | 1 |
| G | 1.0 | 5.5 | 1391.25 | 6 | -0.5 | 0.25 |
| H | 1.8 | 4.0 | 3061.14 | 5 | -1 | 1 |
| I | 4.1 | 3.0 | 11325.66 | 1 | 2 | 4 |
| J | 13.0 | 2.0 | 3737.48 | 3 | -1 | 1 |
| K | 0.8 | 7.5 | 5747.49 | 2 | 5.5 | 30.25 |
| L | 0.5 | 10 | 206.22 | 11 | -1 | 1 |
| ∑=118 |
X<sub>1</sub> = Land under permanent crops
Y<sub>1</sub> = GDP
R<sub>1</sub> = Rank – 1, R<sub>2</sub> = Rank – 2, n = 12 (No. of pairs)
Rank correlation R =` 1 – (6sum(R_1 - R_2)^2) / (n(n^2-1))`
`=1 -( 6xx118)/(12(144-1))`
`= 1- 108/1716`
= 1 – 0.412
= 0.588
= 0.59
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Land Use and Regional Development
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