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प्रश्न
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.
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उत्तर
| X | Y | RX | RY | d = RX − RY | d2 |
| 300 | 273 | 7 | 8 | − 1 | 1 |
| 450 | 486 | 5 | 4 | 1 | 1 |
| 800 | 734 | 2 | 2 | 0 | 0 |
| 250 | 297 | 8 | 7 | 1 | 1 |
| 500 | 631 | 3 | 3 | 0 | 0 |
| 975 | 872 | 1 | 1 | 0 | 0 |
| 475 | 396 | 4 | 6 | − 2 | 4 |
| 400 | 457 | 6 | 5 | 1 | 1 |
| ∑d2 = 8 |
N = 8, Σd2 = 8
Rank correlation (ρ) = `1 - (6sum"d"^2)/("N"("N"^2 - 1))`
= `1 - (6 xx 8)/(8(64 - 1))`
= `1 - 6/63`
= 0.905
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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 sum of squares of differences of ranks for 10 pairs of observations is 66, find the rank correlation coefficient.
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 |
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.
Ranking of 8 trainees at the beginning (X) and at the end (Y), of a certain course are given below :
| Trainees | A | B | C | D | E | F | G | H |
| X | 1 | 2 | 4 | 5 | 6 | 8 | 3 | 7 |
| Y | 2 | 4 | 3 | 7 | 8 | 1 | 5 | 6 |
Calculate Spearman's rank correlation coefficient.
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
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.
Define correlation.
What are various steps for the calculation of rank order correlation?
