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प्रश्न
The following are the ranks obtained by 10 students in commerce and accountancy are given below:
| Commerce | 6 | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 10 | 5 |
| Accountancy | 4 | 1 | 6 | 7 | 5 | 8 | 10 | 9 | 3 | 2 |
To what extent is the knowledge of students in the two subjects related?
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उत्तर
| RX | RY | d = RX − RY | d2 |
| 6 | 4 | 2 | 4 |
| 4 | 1 | 3 | 9 |
| 3 | 6 | − 3 | 9 |
| 1 | 7 | − 6 | 36 |
| 2 | 5 | − 3 | 9 |
| 7 | 8 | − 1 | 1 |
| 9 | 10 | − 1 | 1 |
| 8 | 9 | − 1 | 1 |
| 10 | 3 | 7 | 49 |
| 5 | 2 | 3 | 9 |
| ∑d2 = 128 |
N = 11, Σd2 = 128
Rank correlation (ρ) = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`
= `1 - (6 xx 128)/(10(100 - 1))`
= `1 - (6 xx 128)/990`
= 0.224
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संबंधित 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 |
If the rank correlation coefficient is 0.6 and the sum of squares of differences of ranks is 66, then find the number of pairs of observations.
Compute the coefficient of correlation for the following data :
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In a partially destroyed laboratory record of an analysis of regression data, the following data are legible :
Variable of X = 9
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Find Mean values of X and Y on the basis of the above information .
In a partially destroyed laboratory record of an analysis of regression data, the following data are legible :
Variable of X = 9
Regression equations : 8x - 10g + 66 = 0 and 40x- 18g = 214
Find Correlation coefficient between X and Y on the basis of the above information.
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| Estimated cost | 300 | 450 | 800 | 250 | 500 | 975 | 475 | 400 |
| Actual cost | 273 | 486 | 734 | 297 | 631 | 872 | 396 | 457 |
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The rank of 10 students of the same batch in two subjects A and B are given below. Calculate the rank correlation coefficient.
| Rank of A | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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| Estimated cost | 30 | 45 | 80 | 25 | 50 | 97 | 47 | 40 |
| Actual cost | 27 | 48 | 73 | 29 | 63 | 87 | 39 | 45 |
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