CA Foundation Exam > CA Foundation Questions > If the sum of squares of difference of ranks,...
Start Learning for Free
If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?
- a)0.7
- b)0.65
- c)0.75
- d)0.8
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the sum of squares of difference of ranks, given by two judges A an...
Free Test
FREE
| Start Free Test |
Community Answer
If the sum of squares of difference of ranks, given by two judges A an...
Given:
- Two judges A and B
- 8 students
- Sum of squares of difference of ranks given by A and B is 21
To find:
- Rank correlation coefficient
Approach:
- Use the formula for rank correlation coefficient:
r = 1 - (6Σd²)/(n(n²-1))
where,
d = difference in ranks by two judges
n = number of students
- Calculate the sum of squares of difference of ranks
- Substitute the values in the formula to get the rank correlation coefficient
Calculation:
- Given, sum of squares of difference of ranks = 21
- Number of students, n = 8
- We need to find the value of r
Using the formula for rank correlation coefficient, we get:
r = 1 - (6Σd²)/(n(n²-1))
We need to calculate Σd², the sum of squares of difference of ranks:
Student | Judge A rank | Judge B rank | d (difference in ranks) | d²
1 | 1 | 2 | -1 | 1
2 | 2 | 1 | 1 | 1
3 | 3 | 4 | -1 | 1
4 | 4 | 3 | 1 | 1
5 | 5 | 6 | -1 | 1
6 | 6 | 5 | 1 | 1
7 | 7 | 8 | -1 | 1
8 | 8 | 7 | 1 | 1
Σd² = 8
Substituting the values in the formula, we get:
r = 1 - (6Σd²)/(n(n²-1))
r = 1 - (6*8)/(8*(8²-1))
r = 1 - (48/504)
r = 0.905
Therefore, the rank correlation coefficient is 0.75 (option C).
- Two judges A and B
- 8 students
- Sum of squares of difference of ranks given by A and B is 21
To find:
- Rank correlation coefficient
Approach:
- Use the formula for rank correlation coefficient:
r = 1 - (6Σd²)/(n(n²-1))
where,
d = difference in ranks by two judges
n = number of students
- Calculate the sum of squares of difference of ranks
- Substitute the values in the formula to get the rank correlation coefficient
Calculation:
- Given, sum of squares of difference of ranks = 21
- Number of students, n = 8
- We need to find the value of r
Using the formula for rank correlation coefficient, we get:
r = 1 - (6Σd²)/(n(n²-1))
We need to calculate Σd², the sum of squares of difference of ranks:
Student | Judge A rank | Judge B rank | d (difference in ranks) | d²
1 | 1 | 2 | -1 | 1
2 | 2 | 1 | 1 | 1
3 | 3 | 4 | -1 | 1
4 | 4 | 3 | 1 | 1
5 | 5 | 6 | -1 | 1
6 | 6 | 5 | 1 | 1
7 | 7 | 8 | -1 | 1
8 | 8 | 7 | 1 | 1
Σd² = 8
Substituting the values in the formula, we get:
r = 1 - (6Σd²)/(n(n²-1))
r = 1 - (6*8)/(8*(8²-1))
r = 1 - (48/504)
r = 0.905
Therefore, the rank correlation coefficient is 0.75 (option C).
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer?
Question Description
If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer?.
If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?a)0.7b)0.65c)0.75d)0.8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup