Which of the following are the degrees of freedom used in a Chi-squared test of independence between gender and mode of transport to university, if the mode of transport choices are public transport, car, bicycle or other.
A)8
B)5
C)4
D)3

Question

Quizplus · Accepted Answer

The degrees of freedom for a Chi-squared test of independence are calculated as (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. Here, gender has 2 categories (male and female) and mode of transport has 4 categories (public transport, car, bicycle, other), making the table 2x4. Thus, degrees of freedom = (2-1) * (4-1) = 1 * 3 = 3.

Which of the Following Are the Degrees of Freedom Used