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

Quizplus · Accepted Answer

The formula for SST in a one-way ANOVA is SST=∑(X-X̄)², where X̄ is the overall mean. Using the data in the table, we can calculate the overall mean to be 4.85. Then, we can calculate SST as follows:
SST= (0-4.85)² + (3-4.85)² + (6-4.85)² + (2-4.85)² + (8-4.85)² + (5-4.85)² + (10-4.85)²
SST= 66.75
Therefore, the correct choice is C.

Data from a Completely Randomized Design Are Shown in the Following