A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2*3 matrix of categories. Which test has the larger value for df?

Equal df

Step-by-step explanation:

Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,

Hence degree of freedom = 3-1 = 2

Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2*3 matrix of categories.

Here degree of freedom = (r-1) (c-1) where r = no of rows and c = no of columns

= (2-1) (3-1) = 2

Thus we find both have equal degrees of freedom.