The main difference between the test for goodness of fit and the test for independence is that
A)the goodness of fit test can be used only for 2 × 2 designs whereas the independence test is not limited to a particular design type.
B)expected frequencies are calculated for the independence test but not for the goodness of fit test.
C)the goodness of fit test is limited to one nominal variable whereas the independence test is not.
D)observed frequencies are compared to expected frequencies for the independence test but not for the goodness of fit test.

Question

Quizplus · Accepted Answer

The goodness of fit test is limited to testing the fit of observed frequencies to an expected distribution for one nominal variable. The test for independence, on the other hand, can be used to assess the relationship between two nominal variables, where expected frequencies are calculated and compared to observed frequencies. Option A and D are incorrect as they do not accurately describe the differences between the two tests. Option B is incorrect as expected frequencies are calculated for both tests.

The Main Difference Between the Test for Goodness of Fit