In a randomized block design with 4 treatments and 3 blocks there are
A)4 degrees of freedom for treatments, 3 for blocks and 12 for error.
B)3 degrees of freedom for treatments, 3 for blocks and 9 for error.
C)3 degrees of freedom for treatments, 2 for blocks and 5 for error.
D)3 degrees of freedom for treatments, 2 for blocks and 6 for error.
E)4 degrees of freedom for treatments, 2 for blocks and 6 for error.

Question

Quizplus · Accepted Answer

In a randomized block design, the degrees of freedom for treatments is (number of treatments - 1), for blocks is (number of blocks - 1), and for error is (total observations - treatments - blocks + 1). Here, treatments = 4, blocks = 3, so df for treatments = 3, df for blocks = 2, and df for error = (4*3 - 4 - 3 + 1) = 6.

In a Randomized Block Design with 4 Treatments and 3