B Com Exam > B Com Questions > Rank correlation from following data Judge x ...
Start Learning for Free
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50
Most Upvoted Answer
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41,...
Community Answer
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41,...
To calculate the rank correlation between Judge x and Judge y, we need to assign ranks to the scores for each judge and then calculate the correlation between the ranks. The ranks are as follows:
Judge x: 8, 7, 10, 2, 9, 11, 12, 11, 1, 3
Judge y: 2, 1, 9, 11, 4, 8, 12, 13, 14, 6
To calculate the rank correlation, we can use the Spearman's rank correlation coefficient formula:
rs = 1 - (6Σd^2)/(n(n^2-1))
where:
d = difference in ranks between the two judges for each score
n = number of scores
Using this formula, we can calculate the rank correlation as follows:
Σd^2 = (8-2)^2 + (7-1)^2 + (10-9)^2 + (2-11)^2 + (9-4)^2 + (11-8)^2 + (12-14)^2 + (11-13)^2 + (1-12)^2 + (3-6)^2
Σd^2 = 304
n = 10
rs = 1 - (6Σd^2)/(n(n^2-1))
rs = 1 - (6(304))/(10(10^2-1))
rs = 1 - (6(304))/(990)
rs = 1 - 1.83
rs = -0.83
Therefore, the rank correlation between Judge x and Judge y is -0.83. This indicates a strong negative correlation between the two judges' scores.
Judge x: 8, 7, 10, 2, 9, 11, 12, 11, 1, 3
Judge y: 2, 1, 9, 11, 4, 8, 12, 13, 14, 6
To calculate the rank correlation, we can use the Spearman's rank correlation coefficient formula:
rs = 1 - (6Σd^2)/(n(n^2-1))
where:
d = difference in ranks between the two judges for each score
n = number of scores
Using this formula, we can calculate the rank correlation as follows:
Σd^2 = (8-2)^2 + (7-1)^2 + (10-9)^2 + (2-11)^2 + (9-4)^2 + (11-8)^2 + (12-14)^2 + (11-13)^2 + (1-12)^2 + (3-6)^2
Σd^2 = 304
n = 10
rs = 1 - (6Σd^2)/(n(n^2-1))
rs = 1 - (6(304))/(10(10^2-1))
rs = 1 - (6(304))/(990)
rs = 1 - 1.83
rs = -0.83
Therefore, the rank correlation between Judge x and Judge y is -0.83. This indicates a strong negative correlation between the two judges' scores.
|
Explore Courses for B Com exam
|
|
Similar B Com Doubts
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics
Question Description
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics.
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics.
Solutions for Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics in English & in Hindi are available as part of our courses for B Com.
Download more important topics, notes, lectures and mock test series for B Com Exam by signing up for free.
Here you can find the meaning of Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics defined & explained in the simplest way possible. Besides giving the explanation of
Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics, a detailed solution for Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics has been provided alongside types of Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics theory, EduRev gives you an
ample number of questions to practice Rank correlation from following data Judge x : 52, 53, 42, 60, 45, 41, 37, 38, 25, 27 Judge y: 65,68,43,38,77,48,35,30,25,50 Related: Rank Correlation - Correlation & Regression, Business Mathematics & Statistics tests, examples and also practice B Com tests.
|
|
Explore Courses for B Com 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup