Systolic blood pressure of randomly selected HMO patients was recorded on a particular Wednesday,with the results shown here.An ANOVA test was performed using these data. What are the degrees of freedom for the error sum of squares?
A) 3
B) 19
C) 16
D) It depends on α.

Question

Systolic blood pressure of randomly selected HMO patients was recorded on a particular Wednesday,with the results shown here.An ANOVA test was performed using these data.  What are the degrees of freedom for the error sum of squares?
A) 3 
B) 19 
C) 16 
D) It depends on α.

Quizplus · Accepted Answer

The degrees of freedom for the error sum of squares is calculated by subtracting the degrees of freedom for the treatment sum of squares from the total degrees of freedom. In this case, there are 20 total observations and 4 treatment groups, so the degrees of freedom for the treatment sum of squares is 4 - 1 = 3. Therefore, the degrees of freedom for the error sum of squares is 20 - 3 = 17. However, since the ANOVA test assumes a significance level (α) to be specified by the researcher, the answer D cannot be determined as it depends on the specific value of α chosen.

Systolic Blood Pressure of Randomly Selected HMO Patients Was Recorded