The total degrees of freedom for an experiment with n 1 = 10, n 2 = 12, and n 3 = 10 is ________.
A) 2
B) 32
C) 31
D) 29

Question

Quizplus · Accepted Answer

The total degrees of freedom for an experiment with n 1 = 10, n 2 = 12, and n 3 = 10 can be calculated using the formula: (number of groups - 1) x (number of observations per group - 1). Therefore, the degrees of freedom for group 1 would be (1-1)x(10-1) = 0, the degrees of freedom for group 2 would be (1-1)x(12-1) = 0, and the degrees of freedom for group 3 would be (1-1)x(10-1) = 0, since each group only has one level. The total degrees of freedom would be the sum of the degrees of freedom for each group, which is 0 + 0 + 0 = 0. However, there is always one degree of freedom lost when calculating the overall mean. Therefore, the total degrees of freedom for this experiment would be 0 + 1 = 1, and the correct answer is C) 31.

The Total Degrees of Freedom for an Experiment with N