$$\begin{array} { l c c c c }
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Factor A } & 2.25 & & .75 & \
\text { Factor B } & .95 & & .95 & \
\text { Interaction } & .90 & 3 & & \
\text { Error } & & & .15 & \
\text { Total } & 6.5 & 23 &
\end{array}$$
-Given the partial ANOVA table above,the number of levels of factor A are ____ and the number of levels factor B are ___.
A)3,1
B)4,2
C)6,1
D)4,24
E)1,16

Question

$$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { DF } & \text { MS } & \text { F } \
\text { Factor A } & 2.25 & & .75 & \
\text { Factor B } & .95 & & .95 & \
\text { Interaction } & .90 & 3 & & \
\text { Error } & & & .15 & \
\text { Total } & 6.5 & 23 &
\end{array}$$
-Given the partial ANOVA table above,the number of levels of factor A are ____ and the number of levels factor B are ___.
A)3,1
B)4,2
C)6,1
D)4,24
E)1,16

Quizplus · Accepted Answer

The degrees of freedom (DF) for Factor A can be calculated as (levels of A - 1). Given SS for Factor A is 2.25 and MS is 0.75, DF for A is 2.25/0.75 = 3, so levels of A = 3 + 1 = 4. For Factor B, since MS = SS, DF for B is 1, so levels of B = 1 + 1 = 2.

-Given the Partial ANOVA Table Above,the Number of Levels of Source