Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below.
Statement I:Spearman's rho is generally employed to measure the strength and direction of the relationship between two ordinal variables.
Statement II:Pearson's coefficient of correlation r is very useful when the relationship between two variables is curvilinear.
ABoth Statement I and Statement II are correct
BBoth Statement I and Statement II are incorrect
CStatement I is correct but Statement II is incorrect ✓ Correct
DStatement I is incorrect but Statement II is correct
Correct answer: (C) Statement I is correct but Statement II is incorrect
Explanation
Statement 1 is correct because Spearman's rho measures the strength and direction of association between two ordinal variables.
It works on ranks rather than raw scores, suiting ordered categories.
Statement 2 is incorrect because Pearson's r captures only linear relationships, not curvilinear ones.
A strong curved pattern can yield a near-zero Pearson r despite a real association.
For monotonic but non-linear data, rank-based measures like rho are preferred.
Pearson's r requires interval or ratio data that are roughly normally distributed.
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