SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

Question

Quizplus · Accepted Answer

In the independent samples design, each subject is assigned to only one group, so the total sum of squares (SST) is equal to the sum of the between-groups sum of squares (SSB) and the within-groups sum of squares (SSE). In the randomized block design, each subject is assigned to one of several blocks, and the blocks are then randomly assigned to the different groups. This design reduces the within-groups sum of squares, so the SSE in the randomized block design is smaller than the SSE in the independent samples design. Therefore, the SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

SSE in the Independent Samples Design Is Equal to the Sum