Question Bank - Mathematics

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If, in a series. there are m items whose ranks are common, then which factor is added for correction for each repeating value in both the series?

A.
\(\dfrac{1}{12}m\)
B.
\(\dfrac{1}{12}m(m-1)(m+1)\)
C.
\(\dfrac{1}{12}(m-1)(m+1)\)
D.
\(\dfrac{1}{12}m(m-1)\)

Solution:

ExplanationAccording to Spearman's rank correlation coefficient when ranks are repeated is as follows - ? rs = 1 - 6[(?d2 + (m13 - m1)/12 + (m23 - m2)/12 + -------)]/n(n2 - 1)m1, m2 ----- are the number of repetitions of the ranks(m13 - m1)/12 ----- are corresponding factors? The factor is added for each repeating value in the both series is given by (m3 - m)/12 = m(m2 - 1)/12 = m(m - 1)(m + 1)/12Originally the spearsman rank correlation is denotted by rs = 1-6?d2/n(n2 - 1)

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