Consider the Following Data from a Two-Factor Factorial Experiment-What Is the Mean Square Error

Question

Examlex · Accepted Answer

The Answer is 1.22

S S ( ext { Total } ) = \left[ ( 4 - 4 ) ^ { 2 } + ( 8 - 4 ) ^ { 2 } + ( 5 - 4 ) ^ { 2 } + ( 6 - 4 ) ^ { 2 } + ( 7 - 4 ) ^ { 2 } + \ldots + ( 1 - 4 ) ^ { 2 } ight] = 82

\operatorname { SS } ( ext { Factor } 1 ) = 6 \left[ ( 4 - 4 ) ^ { 2 } + ( 5 - 4 ) ^ { 2 } + ( 3 - 4 ) ^ { 2 } ight] = 12

\operatorname { SS } ( ext { Factor } 2 ) = 9 \left[ ( 5.667 - 4 ) ^ { 2 } + ( 2.333 - 4 ) ^ { 2 } ight] = 50

\begin{array} { l } S S ( ext { Interaction } ) = 3 \left[ ( 5 - 5.667 - 4 + 4 ) ^ { 2 } + ( 6.667 - 5.667 - 5 + 4 ) ^ { 2 } \ldots + ( 0.667 - 2.333 - 3 + 4 ) ^ { 2 } ight] \S S ( ext { Interaction } ) = 3 ( 1.778 ) = 5.333\end{array}

SSE = 82 -12 -50 - 5.333 = 14.667

M S E = \frac { 14.667 } { ( 2 ) ( 3 ) ( 3 - 1 ) } = 1.22

Consider the Following Data from a Two-Factor Factorial Experiment -What Is the Mean Square Error