A randomised block experiment having 5 treatments and 6 blocks produced the following values:
SST = 252, SSB = 1095, SSE = 198. The value of SS(Total) must be 645.

Question

Quizplus · Accepted Answer

The total sum of squares (SS) is calculated as the sum of squares of treatments (SSB) and sum of squares of error (SSE), plus any sum of squares of blocks or other factors if included in the design. Therefore, SS(Total) should be calculated as SS(Total) = SSB + SSE + SS(Block) (if present). In this case, we do not know the value of SS(Block), so we cannot conclude that SS(Total) must be 645.

A Randomised Block Experiment Having 5 Treatments and 6 Blocks