Data from a completely randomized design are shown in the following table: For a one-way ANOVA,the Error Sum of Squares (SSE)is ___.
A)36.17
B)28.75
C)64.92
D)18.03
E)28.04

Question

Data from a completely randomized design are shown in the following table:  For a one-way ANOVA,the Error Sum of Squares (SSE)is ___.
A)36.17 
B)28.75 
C)64.92 
D)18.03 
E)28.04

Quizplus · Accepted Answer

To find SSE, we need to first find the Total Sum of Squares (SST) by adding up the squared deviations from the overall mean. SST = 172.83. Then, we need to find the Treatment Sum of Squares (SSTR) by adding up the squared deviations from the group means. SSTR = 144.08. Finally, SSE is calculated by subtracting SSTR from SST. SSE = SST - SSTR = 172.83 - 144.08 = 28.75. Therefore, the answer is B.

Data from a Completely Randomized Design Are Shown in the Following