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?
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.
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
Explore Courses for CA Foundation exam
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?
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? 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?.
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? 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? 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 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? 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? 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? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev