Advertisements
Advertisements
प्रश्न
An examination of 11 applicants for a accountant post was taken by a finance company. The marks obtained by the applicants in the reasoning and aptitude tests are given below.
| Applicant | A | B | C | D | E | F | G | H | I | J | K |
| Reasoning test | 20 | 50 | 28 | 25 | 70 | 90 | 76 | 45 | 30 | 19 | 26 |
| Aptitude test | 30 | 60 | 50 | 40 | 85 | 90 | 56 | 82 | 42 | 31 | 49 |
Calculate Spearman’s rank correlation coefficient from the data given above.
Advertisements
उत्तर
| X | Y | RX | RY | d = RX − RY | d2 |
| 20 | 30 | 10 | 11 | − 1 | 1 |
| 50 | 60 | 4 | 4 | 0 | 0 |
| 28 | 50 | 7 | 6 | 1 | 1 |
| 25 | 40 | 9 | 9 | 0 | 0 |
| 70 | 85 | 3 | 2 | 1 | 1 |
| 90 | 90 | 1 | 1 | 0 | 0 |
| 76 | 56 | 2 | 5 | − 3 | 9 |
| 45 | 82 | 5 | 3 | 2 | 4 |
| 30 | 42 | 6 | 8 | − 2 | 4 |
| 19 | 31 | 11 | 10 | 1 | 1 |
| 26 | 49 | 8 | 7 | 1 | 1 |
| ∑d2 = 22 |
N = 11, Σd2 = 22
Rank correlation (ρ) = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`
= `1 - (6 xx 22)/(11(121 - 1))`
= `1 - 12/120`
= 1 − 0.1
= 0.9
APPEARS IN
संबंधित प्रश्न
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.
The ranks of the 10 students in Mathematics and Accountancy are as follows :
Two numbers given in the brackets denote the ranks of the students in Mathematics and Accountancy respectively.
(1. 1). (2. 10). (3. 3). (4. 4). (5. 5). (6. 7). (7. 2). (8. 6). (9. 8). (10. 9)
Calculate the rank correlation coefficient
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?
