Advertisements
Advertisements
प्रश्न
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 |
| Rank of B | 6 | 7 | 5 | 10 | 3 | 9 | 4 | 1 | 8 | 2 |
Advertisements
उत्तर
| RX | RY | d = RX − RY | d2 |
| 1 | 6 | − 5 | 25 |
| 2 | 7 | − 5 | 25 |
| 3 | 5 | − 2 | 4 |
| 4 | 10 | − 6 | 36 |
| 5 | 3 | 2 | 4 |
| 6 | 9 | − 3 | 9 |
| 7 | 4 | 3 | 9 |
| 8 | 1 | 7 | 49 |
| 9 | 8 | 1 | 1 |
| 10 | 2 | 8 | 64 |
| ∑d2 = 226 |
N = 10, Σd2 = 226
Rank correlation (ρ) = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`
= `1 - (6 xx 226)/(10(100 - 1))`
= `1 - (6 xx 226)/(10 xx 99)`
= − 0.37
APPEARS IN
संबंधित प्रश्न
Coefficient of rank correlation between x and y is 0.5 and `sumd_i^2`= 42. Assuming that no ranks are repeated, find the number of pairs of observations.
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 :
n = 100 ; `bar x` = 62 , ` bar y` = 53 . σx = 10 ; σ y = 12 ,
`sum ("x"_1 - bar x) ("y"_1 - bar y) = 8000`
Draw scatter diagram for the following data and identify the type of correlation.
| capital (₹ in crore) | 2 | 3 | 4 | 5 | 6 | 8 | 9 |
| Profit (₹ in lakh) | 6 | 5 | 7 | 7 | 8 | 12 | 11 |
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 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.
A random sample of recent repair jobs was selected and estimated cost and actual cost were recorded.
| Estimated cost | 300 | 450 | 800 | 250 | 500 | 975 | 475 | 400 |
| Actual cost | 273 | 486 | 734 | 297 | 631 | 872 | 396 | 457 |
Calculate the value of spearman’s correlation coefficient.
A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded.
| Estimated cost | 30 | 45 | 80 | 25 | 50 | 97 | 47 | 40 |
| Actual cost | 27 | 48 | 73 | 29 | 63 | 87 | 39 | 45 |
Calculate the value of spearman’s correlation.
Define correlation.
What are various steps for the calculation of rank order correlation?
