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 value.
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). For a chi-square test for independence in a 2x2 matrix, the df is (rows-1)(columns-1), which is 1. Since the goodness of fit test has three categories, its df is 2, which is larger than the df for the test for independence.

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