Question

Foot Length , Height For the sample data given in Exercise 4, identify at least one advantage of using the appropriate non-parametric test over the parametric test.

Short answer

One disadvantage of the non-parametric rank correlation test is that it does not detect the exact nature of the relationship between the given variables compared to the parametric linear correlation test, which establishes a linear relationship between the variables.

Step-by-step solution

Given information

Data are given on two variables, “Foot Length(cm)” and “Height(cm)” of males.

Definerank correlation and linear correlation test

The rank correlation test belongs to the non-parametric test category, whereas the linear correlation test belongs to the parametric test category. The rank correlation test is used to analyze the relationship between ordinal variables, whereas the linear correlation test is used to analyze the linear relationship between continuous variables.

Disadvantage of rank correlation test

Referring to Exercise 4; the rank correlation test is used to test the relationship between foot length and height.

Compared to the parametric linear correlation test, which establishes a precise linear relationship between the variables, the non-parametric rank correlation test possesses the disadvantage of not detecting the exact nature of the relationship between the given variables.