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Which of the following is true about Spearman's rank correlation coefficient?Question 2Answera.It measures the strength and direction of a monotonic relationshipb.It is highly sensitive to outliersc.It can only be used with continuous datad.It assumes a linear relationship between variables

Question

Which of the following is true about Spearman's rank correlation coefficient?Question 2Answera.It measures the strength and direction of a monotonic relationshipb.It is highly sensitive to outliersc.It can only be used with continuous datad.It assumes a linear relationship between variables

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Solution

The correct answer is a. Spearman's rank correlation coefficient measures the strength and direction of a monotonic relationship. This means it assesses how well the relationship between two variables can be described using a monotonic function, whether it's increasing or decreasing.

Option b is incorrect because Spearman's rank correlation coefficient is not highly sensitive to outliers. In fact, it is more robust to outliers than Pearson's correlation coefficient because it depends on ranks rather than actual values.

Option c is also incorrect. Spearman's rank correlation coefficient can be used with both continuous and ordinal data. It is often used when the data does not meet the assumptions of Pearson's correlation (i.e., normally distributed and linearly related).

Option d is incorrect as well. Spearman's rank correlation does not assume a linear relationship between variables. Instead, it measures the strength and direction of the monotonic (but not necessarily linear) relationship between two variables.

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