Data from a randomized block design are shown in the following table: The Treatment Sum of Squares (SSC)is ___.
A)65.00
B)17.50
C)47.00
D)0.500
E)1.000

Question

Data from a randomized block design are shown in the following table:  The Treatment Sum of Squares (SSC)is ___.
A)65.00 
B)17.50 
C)47.00 
D)0.500 
E)1.000

Quizplus · Accepted Answer

To calculate the Treatment Sum of Squares (SSC), we need to first calculate the Total Sum of Squares (SST) and the Error Sum of Squares (SSE). 
Total Sum of Squares (SST) = sum of squares total = sum((observation - grand mean)^2) = 120.5 
Error Sum of Squares (SSE) = sum of squares within = sum((observation - treatment mean)^2) = 73.5 
Using the formula SSC = SST - SSE, we get 
SSC = 120.5 - 73.5 = 47.00 
Therefore, the correct choice is C.

Data from a Randomized Block Design Are Shown in the Following