Advertisements
Advertisements
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?
Advertisements
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
APPEARS IN
संबंधित प्रश्न
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 |
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 |
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.
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 |
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?
