Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the calculated F statistic for blocks?
A)1.77
B)5.29
C)1.94
D)7.06

Question

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.  What is the calculated F statistic for blocks?
A)1.77 
B)5.29 
C)1.94 
D)7.06

Quizplus · Accepted Answer

The calculated F statistic for blocks is found in the row labeled "Blocks" and is the ratio of the mean square for blocks to the mean square error. From the table, we can see that the mean square for blocks is 56.167 and the mean square error is 10.625. Therefore, the F statistic for blocks is 56.167/10.625=5.29. The best choice is B, which is the only option that matches the calculated F statistic for blocks.

Consider the Following Partial Analysis of Variance Table from a Randomized