Data from a randomized block design are shown in the following table. $\begin{array}{c}
\quad\quad\quad\text { Treatment Levels }\
\begin{array}{l}
\
\text {Block 1}\
\text {Block 2}\
\text {Block3}
\end{array}
\begin{array}{l}
1 \
8 \
6 \
7
\end{array}
\begin{array}{l}
2 \
5 \
6 \
8
\end{array}
\begin{array}{c}
3 \
10 \
9 \
8
\end{array}
\begin{array}{r}
4\
7\
5\
9
\end{array}
\end{array}$

The Blocks Sum of Squares (SSR)is ________.
A)4.67
B)12
C)2.33
D)28.67
E)11

Question

Data from a randomized block design are shown in the following table. $\begin{array}{c}
\quad\quad\quad\text { Treatment Levels }\
\begin{array}{l}
\
\text {Block 1}\
\text {Block 2}\
\text {Block3}
\end{array}
\begin{array}{l}
1 \
8 \
6 \
7 
\end{array}
\begin{array}{l}
2 \
5 \
6 \
8 
\end{array}
\begin{array}{c}
3 \
10 \
9 \
8 
\end{array}
\begin{array}{r}
4\
7\
5\
9
\end{array}
\end{array}$

The Blocks Sum of Squares (SSR)is ________.
A)4.67
B)12
C)2.33
D)28.67
E)11

Quizplus · Accepted Answer

The Blocks Sum of Squares (SSR) is 4.67. This is calculated by taking the sum of the squared deviations of the block means from the overall mean. The overall mean is 7.5, and the block means are 7, 6, and 8. The squared deviations are (7-7.5)^2 = 0.25, (6-7.5)^2 = 2.25, and (8-7.5)^2 = 0.25. The sum of these squared deviations is 4.67.

Data from a Randomized Block Design Are Shown in the Following