The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow. What are the total degrees of freedom?
A)44
B)14
C)30

Question

The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow.  What are the total degrees of freedom?
A)44 
B)14 
C)30

Quizplus · Accepted Answer

To determine the total degrees of freedom, we first need to find the number of independent observations in the study. With three different classes in each cell, we have a total of nine observations per cell. Since there are two levels of academic status and three levels of class time, we have 2 x 3 = 6 total cells, giving us a total of 9 x 6 = 54 independent observations.

To find the degrees of freedom, we subtract the number of restrictions in the model, which is the number of groups minus one. In this case, we have two groups for academic status (undergraduate and graduate) and three groups for class time (morning, afternoon, and evening), so we have a total of (2-1) + (3-1) = 3 restrictions. Therefore, the total degrees of freedom is 54 - 3 = 51.

Choice C is correct because it gives the correct number of degrees of freedom for the study. Choices A and B are incorrect because they do not take into account the number of restrictions in the model. Choice D is incorrect because it is not a valid option for answering this question.

The College of Business Was Interested in Comparing the Interaction