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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?
Most Upvoted Answer
If the sum of squares of difference of ranks, given by two judges A an...
Calculation of Rank Correlation Coefficient
Given:
- Sum of squares of difference of ranks given by Judge A and B = 21
- Number of students = 8
Step 1: Find the difference in ranks given by Judge A and B for each student
- For each student, find the difference in ranks given by Judge A and B
- If the ranks given by Judge A and B are the same, then the difference is 0
- If the ranks given by Judge A are higher than those given by Judge B, then the difference is positive
- If the ranks given by Judge B are higher than those given by Judge A, then the difference is negative
Step 2: Calculate the sum of squares of the differences in ranks
- For each student, square the difference in ranks calculated in Step 1
- Add up the squared differences for all students
Step 3: Calculate the value of n(n^2 - 1)/6
- n is the number of students
- Plug in n = 8 into the formula to get the value
Step 4: Calculate the rank correlation coefficient using the formula (1 - 6Σd^2/(n(n^2 - 1)))
- Σd^2 is the sum of squares of differences in ranks calculated in Step 2
- n is the number of students
- Plug in the values into the formula and simplify to get the rank correlation coefficient
Final Answer: The rank correlation coefficient is the value obtained in Step 4.
Given:
- Sum of squares of difference of ranks given by Judge A and B = 21
- Number of students = 8
Step 1: Find the difference in ranks given by Judge A and B for each student
- For each student, find the difference in ranks given by Judge A and B
- If the ranks given by Judge A and B are the same, then the difference is 0
- If the ranks given by Judge A are higher than those given by Judge B, then the difference is positive
- If the ranks given by Judge B are higher than those given by Judge A, then the difference is negative
Step 2: Calculate the sum of squares of the differences in ranks
- For each student, square the difference in ranks calculated in Step 1
- Add up the squared differences for all students
Step 3: Calculate the value of n(n^2 - 1)/6
- n is the number of students
- Plug in n = 8 into the formula to get the value
Step 4: Calculate the rank correlation coefficient using the formula (1 - 6Σd^2/(n(n^2 - 1)))
- Σd^2 is the sum of squares of differences in ranks calculated in Step 2
- n is the number of students
- Plug in the values into the formula and simplify to get the rank correlation coefficient
Final Answer: The rank correlation coefficient is the value obtained in Step 4.
Community Answer
If the sum of squares of difference of ranks, given by two judges A an...
Given that
n = 8, sum of d² = 21
Rank correlation,r = 1 - 6(sum of d²)/n(n² - 1)
= 1 - 6×21/8(8²-1)
=1 - 0.25
= 0.75
n = 8, sum of d² = 21
Rank correlation,r = 1 - 6(sum of d²)/n(n² - 1)
= 1 - 6×21/8(8²-1)
=1 - 0.25
= 0.75
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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?
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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? 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? 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?.
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? 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? 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?.
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