A randomized block experiment having five treatments and six blocks produced the following values: SST = 1446,SSG = 287 and SSE = 180.The value of SSB is calculated to be:
A)30
B)979
C)467
D)20

Question

Quizplus · Accepted Answer

The total sum of squares (SST) can be expressed as the sum of the sum of squares due to treatment (SSG), the sum of squares due to blocks (SSB), and the sum of squares due to error (SSE):

SST = SSG + SSB + SSE

We are given the values of SST, SSG, and SSE. To find SSB, we can rearrange the above equation:

SSB = SST - SSG - SSE
SSB = 1446 - 287 - 180
SSB = 979

Therefore, the answer is B: 979.

A Randomized Block Experiment Having Five Treatments and Six Blocks