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 2×2 matrix of categories.Which test has the larger value for df?
A)The test for goodness of fit
B)The test for independence
C)Both tests have the same df.
D)The df value depends on the sizes of the samples that are used.

Question

Quizplus · Accepted Answer

The degrees of freedom (df) for a chi-square test for goodness of fit is calculated as the number of categories minus one (k - 1), where k is the number of categories. For a chi-square test for independence in a 2x2 matrix, the degrees of freedom are calculated as (rows - 1) * (columns - 1), which equals 1 in this case. Therefore, for more than two categories, the goodness of fit test will have a larger df value.

A Chi-Square Test for Goodness of Fit Is Used to Examine