A rank correlation coefficient is to be calculated for a collection of paired data. The values lie between -10 and 10. Which of the following could affect the value of the rank correlation coefficient? I: Multiplying every value of one variable by 3
II: Interchanging the two variables
III: Adding 2 to each value of one variable
IV: Replacing every value of one variable by its absolute value
A) III
B) IV
C) I
D) I and IV

Question

Quizplus · Accepted Answer

Replacing every value of one variable by its absolute value (IV) can affect the rank correlation coefficient because it changes the order of the data, which is crucial for rank correlation. Multiplying by a constant, interchanging variables, or adding a constant does not affect the ranks.

A Rank Correlation Coefficient Is to Be Calculated for a Collection