315
Question
In a poem recitation competition, ten participants were recorded following marks by two different judges X and Y.
X1517141311121618109Y1512467931025
Calculate the coefficient of rank correlation.
In a poem recitation competition, ten participants were recorded following marks by two different judges X and Y.
X1517141311121618109Y1512467931025
Calculate the coefficient of rank correlation.
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Solution
Calculation of Rank Correlation
XR1YR2R1−R2=DD2154151391721220014548−3913666001187539127943916339−636181103−24109210−119105739∑D2=86
Here, N= 10 and ∑D2=86
nk=1−6∑D2N3−N=1−6×86103−10=1−516990=1−0.52=0.48
It indicates that there is moderate degree of positive correlation between X and Y-series.
Calculation of Rank Correlation
XR1YR2R1−R2=DD2154151391721220014548−3913666001187539127943916339−636181103−24109210−119105739∑D2=86
Here, N= 10 and ∑D2=86
nk=1−6∑D2N3−N=1−6×86103−10=1−516990=1−0.52=0.48
It indicates that there is moderate degree of positive correlation between X and Y-series.
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