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 find the Treatment Sum of Squares (SSC) in a randomized block design, we need to use the formula: SSC= (SS(total)- SS(blocks))/k-1, where SS(total) is the total sum of squares, SS(blocks) is the sum of squares for the blocks and k is the number of treatments. By adding up the values in each column, we get SS(total) = 286.25. To find SS(blocks), we calculate the sum of squares for each block by subtracting the block mean from each observation and squaring the result. Then we add up the squared differences for each block. We get SS(blocks) = 239.25. Since there are 4 treatments, k-1 = 3. Therefore, SSC = (286.25 - 239.25)/3 = 47.00. Therefore, the best choice is C, with the correct calculation of the SSC.

Data from a Randomized Block Design Are Shown in the Following